@article{9961, abstract = {The notion of Thouless energy plays a central role in the theory of Anderson localization. We investigate and compare the scaling of Thouless energy across the many-body localization (MBL) transition in a Floquet model. We use a combination of methods that are reliable on the ergodic side of the transition (e.g., spectral form factor) and methods that work on the MBL side (e.g., typical matrix elements of local operators) to obtain a complete picture of the Thouless energy behavior across the transition. On the ergodic side, Thouless energy decreases slowly with the system size, while at the transition it becomes comparable to the level spacing. Different probes yield consistent estimates of Thouless energy in their overlapping regime of applicability, giving the location of the transition point nearly free of finite-size drift. This work establishes a connection between different definitions of Thouless energy in a many-body setting and yields insights into the MBL transition in Floquet systems.}, author = {Sonner, Michael and Serbyn, Maksym and Papić, Zlatko and Abanin, Dmitry A.}, issn = {2469-9969}, journal = {Physical Review B}, number = {8}, publisher = {American Physical Society}, title = {{Thouless energy across the many-body localization transition in Floquet systems}}, doi = {10.1103/PhysRevB.104.L081112}, volume = {104}, year = {2021}, } @article{9981, abstract = {The numerical simulation of dynamical phenomena in interacting quantum systems is a notoriously hard problem. Although a number of promising numerical methods exist, they often have limited applicability due to the growth of entanglement or the presence of the so-called sign problem. In this work, we develop an importance sampling scheme for the simulation of quantum spin dynamics, building on a recent approach mapping quantum spin systems to classical stochastic processes. The importance sampling scheme is based on identifying the classical trajectory that yields the largest contribution to a given quantum observable. An exact transformation is then carried out to preferentially sample trajectories that are close to the dominant one. We demonstrate that this approach is capable of reducing the temporal growth of fluctuations in the stochastic quantities, thus extending the range of accessible times and system sizes compared to direct sampling. We discuss advantages and limitations of the proposed approach, outlining directions for further developments.}, author = {De Nicola, Stefano}, issn = {2666-9366}, journal = {SciPost Physics}, keywords = {General Physics and Astronomy}, number = {3}, publisher = {SciPost}, title = {{Importance sampling scheme for the stochastic simulation of quantum spin dynamics}}, doi = {10.21468/scipostphys.11.3.048}, volume = {11}, year = {2021}, } @article{7971, abstract = {Multilayer graphene lattices allow for an additional tunability of the band structure by the strong perpendicular electric field. In particular, the emergence of the new multiple Dirac points in ABA stacked trilayer graphene subject to strong transverse electric fields was proposed theoretically and confirmed experimentally. These new Dirac points dubbed “gullies” emerge from the interplay between strong electric field and trigonal warping. In this work, we first characterize the properties of new emergent Dirac points and show that the electric field can be used to tune the distance between gullies in the momentum space. We demonstrate that the band structure has multiple Lifshitz transitions and higher-order singularity of “monkey saddle” type. Following the characterization of the band structure, we consider the spectrum of Landau levels and structure of their wave functions. In the limit of strong electric fields when gullies are well separated in momentum space, they give rise to triply degenerate Landau levels. In the second part of this work, we investigate how degeneracy between three gully Landau levels is lifted in the presence of interactions. Within the Hartree-Fock approximation we show that the symmetry breaking state interpolates between the fully gully polarized state that breaks C3 symmetry at high displacement field and the gully symmetric state when the electric field is decreased. The discontinuous transition between these two states is driven by enhanced intergully tunneling and exchange. We conclude by outlining specific experimental predictions for the existence of such a symmetry-breaking state.}, author = {Rao, Peng and Serbyn, Maksym}, issn = {2469-9969}, journal = {Physical Review B}, number = {24}, publisher = {American Physical Society}, title = {{Gully quantum Hall ferromagnetism in biased trilayer graphene}}, doi = {10.1103/physrevb.101.245411}, volume = {101}, year = {2020}, } @article{8011, abstract = {Relaxation to a thermal state is the inevitable fate of nonequilibrium interacting quantum systems without special conservation laws. While thermalization in one-dimensional systems can often be suppressed by integrability mechanisms, in two spatial dimensions thermalization is expected to be far more effective due to the increased phase space. In this work we propose a general framework for escaping or delaying the emergence of the thermal state in two-dimensional arrays of Rydberg atoms via the mechanism of quantum scars, i.e., initial states that fail to thermalize. The suppression of thermalization is achieved in two complementary ways: by adding local perturbations or by adjusting the driving Rabi frequency according to the local connectivity of the lattice. We demonstrate that these mechanisms allow us to realize robust quantum scars in various two-dimensional lattices, including decorated lattices with nonconstant connectivity. In particular, we show that a small decrease of the Rabi frequency at the corners of the lattice is crucial for mitigating the strong boundary effects in two-dimensional systems. Our results identify synchronization as an important tool for future experiments on two-dimensional quantum scars.}, author = {Michailidis, Alexios and Turner, C. J. and Papić, Z. and Abanin, D. A. and Serbyn, Maksym}, issn = {2643-1564}, journal = {Physical Review Research}, number = {2}, publisher = {American Physical Society}, title = {{Stabilizing two-dimensional quantum scars by deformation and synchronization}}, doi = {10.1103/physrevresearch.2.022065}, volume = {2}, year = {2020}, } @article{8199, abstract = {We investigate a mechanism to transiently stabilize topological phenomena in long-lived quasi-steady states of isolated quantum many-body systems driven at low frequencies. We obtain an analytical bound for the lifetime of the quasi-steady states which is exponentially large in the inverse driving frequency. Within this lifetime, the quasi-steady state is characterized by maximum entropy subject to the constraint of fixed number of particles in the system's Floquet-Bloch bands. In such a state, all the non-universal properties of these bands are washed out, hence only the topological properties persist.}, author = {Gulden, Tobias and Berg, Erez and Rudner, Mark Spencer and Lindner, Netanel}, issn = {2542-4653}, journal = {SciPost Physics}, publisher = {SciPost Foundation}, title = {{Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps}}, doi = {10.21468/scipostphys.9.1.015}, volume = {9}, year = {2020}, } @article{8308, abstract = {Many-body localization provides a mechanism to avoid thermalization in isolated interacting quantum systems. The breakdown of thermalization may be complete, when all eigenstates in the many-body spectrum become localized, or partial, when the so-called many-body mobility edge separates localized and delocalized parts of the spectrum. Previously, De Roeck et al. [Phys. Rev. B 93, 014203 (2016)] suggested a possible instability of the many-body mobility edge in energy density. The local ergodic regions—so-called “bubbles”—resonantly spread throughout the system, leading to delocalization. In order to study such instability mechanism, in this work we design a model featuring many-body mobility edge in particle density: the states at small particle density are localized, while increasing the density of particles leads to delocalization. Using numerical simulations with matrix product states, we demonstrate the stability of many-body localization with respect to small bubbles in large dilute systems for experimentally relevant timescales. In addition, we demonstrate that processes where the bubble spreads are favored over processes that lead to resonant tunneling, suggesting a possible mechanism behind the observed stability of many-body mobility edge. We conclude by proposing experiments to probe particle density mobility edge in the Bose-Hubbard model.}, author = {Brighi, Pietro and Abanin, Dmitry A. and Serbyn, Maksym}, issn = {2469-9969}, journal = {Physical Review B}, number = {6}, publisher = {American Physical Society}, title = {{Stability of mobility edges in disordered interacting systems}}, doi = {10.1103/physrevb.102.060202}, volume = {102}, year = {2020}, } @article{7570, abstract = {The relaxation of few-body quantum systems can strongly depend on the initial state when the system’s semiclassical phase space is mixed; i.e., regions of chaotic motion coexist with regular islands. In recent years, there has been much effort to understand the process of thermalization in strongly interacting quantum systems that often lack an obvious semiclassical limit. The time-dependent variational principle (TDVP) allows one to systematically derive an effective classical (nonlinear) dynamical system by projecting unitary many-body dynamics onto a manifold of weakly entangled variational states. We demonstrate that such dynamical systems generally possess mixed phase space. When TDVP errors are small, the mixed phase space leaves a footprint on the exact dynamics of the quantum model. For example, when the system is initialized in a state belonging to a stable periodic orbit or the surrounding regular region, it exhibits persistent many-body quantum revivals. As a proof of principle, we identify new types of “quantum many-body scars,” i.e., initial states that lead to long-time oscillations in a model of interacting Rydberg atoms in one and two dimensions. Intriguingly, the initial states that give rise to most robust revivals are typically entangled states. On the other hand, even when TDVP errors are large, as in the thermalizing tilted-field Ising model, initializing the system in a regular region of phase space leads to a surprising slowdown of thermalization. Our work establishes TDVP as a method for identifying interacting quantum systems with anomalous dynamics in arbitrary dimensions. Moreover, the mixed phase space classical variational equations allow one to find slowly thermalizing initial conditions in interacting models. Our results shed light on a link between classical and quantum chaos, pointing toward possible extensions of the classical Kolmogorov-Arnold-Moser theorem to quantum systems.}, author = {Michailidis, Alexios and Turner, C. J. and Papić, Z. and Abanin, D. A. and Serbyn, Maksym}, issn = {2160-3308}, journal = {Physical Review X}, number = {1}, publisher = {American Physical Society}, title = {{Slow quantum thermalization and many-body revivals from mixed phase space}}, doi = {10.1103/physrevx.10.011055}, volume = {10}, year = {2020}, } @article{7638, abstract = {Following on from our recent work, we investigate a stochastic approach to non-equilibrium quantum spin systems. We show how the method can be applied to a variety of physical observables and for different initial conditions. We provide exact formulae of broad applicability for the time-dependence of expectation values and correlation functions following a quantum quench in terms of averages over classical stochastic processes. We further explore the behavior of the classical stochastic variables in the presence of dynamical quantum phase transitions, including results for their distributions and correlation functions. We provide details on the numerical solution of the associated stochastic differential equations, and examine the growth of fluctuations in the classical description. We discuss the strengths and limitations of the current implementation of the stochastic approach and the potential for further development.}, author = {De Nicola, Stefano and Doyon, B. and Bhaseen, M. J.}, issn = {17425468}, journal = {Journal of Statistical Mechanics: Theory and Experiment}, number = {1}, publisher = {IOP Publishing}, title = {{Non-equilibrium quantum spin dynamics from classical stochastic processes}}, doi = {10.1088/1742-5468/ab6093}, volume = {2020}, year = {2020}, } @article{7013, abstract = {Chains of superconducting circuit devices provide a natural platform for studies of synthetic bosonic quantum matter. Motivated by the recent experimental progress in realizing disordered and interacting chains of superconducting transmon devices, we study the bosonic many-body localization phase transition using the methods of exact diagonalization as well as matrix product state dynamics. We estimate the location of transition separating the ergodic and the many-body localized phases as a function of the disorder strength and the many-body on-site interaction strength. The main difference between the bosonic model realized by superconducting circuits and similar fermionic model is that the effect of the on-site interaction is stronger due to the possibility of multiple excitations occupying the same site. The phase transition is found to be robust upon including longer-range hopping and interaction terms present in the experiments. Furthermore, we calculate experimentally relevant local observables and show that their temporal fluctuations can be used to distinguish between the dynamics of Anderson insulator, many-body localization, and delocalized phases. While we consider unitary dynamics, neglecting the effects of dissipation, decoherence, and measurement back action, the timescales on which the dynamics is unitary are sufficient for observation of characteristic dynamics in the many-body localized phase. Moreover, the experimentally available disorder strength and interactions allow for tuning the many-body localization phase transition, thus making the arrays of superconducting circuit devices a promising platform for exploring localization physics and phase transition.}, author = {Orell, Tuure and Michailidis, Alexios and Serbyn, Maksym and Silveri, Matti}, issn = {2469-9969}, journal = {Physical Review B}, number = {13}, publisher = {American Physical Society}, title = {{Probing the many-body localization phase transition with superconducting circuits}}, doi = {10.1103/physrevb.100.134504}, volume = {100}, year = {2019}, } @article{7200, abstract = {Recent scanning tunneling microscopy experiments in NbN thin disordered superconducting films found an emergent inhomogeneity at the scale of tens of nanometers. This inhomogeneity is mirrored by an apparent dimensional crossover in the paraconductivity measured in transport above the superconducting critical temperature Tc. This behavior was interpreted in terms of an anomalous diffusion of fluctuating Cooper pairs that display a quasiconfinement (i.e., a slowing down of their diffusive dynamics) on length scales shorter than the inhomogeneity identified by tunneling experiments. Here, we assume this anomalous diffusive behavior of fluctuating Cooper pairs and calculate the effect of these fluctuations on the electron density of states above Tc. We find that the density of states is substantially suppressed up to temperatures well above Tc. This behavior, which is closely reminiscent of a pseudogap, only arises from the anomalous diffusion of fluctuating Cooper pairs in the absence of stable preformed pairs, setting the stage for an intermediate behavior between the two common paradigms in the superconducting-insulator transition, namely, the localization of Cooper pairs (the so-called bosonic scenario) and the breaking of Cooper pairs into unpaired electrons due to strong disorder (the so-called fermionic scenario).}, author = {Brighi, Pietro and Grilli, Marco and Leridon, Brigitte and Caprara, Sergio}, issn = {2469-9969}, journal = {Physical Review B}, number = {17}, publisher = {American Physical Society}, title = {{Effect of anomalous diffusion of fluctuating Cooper pairs on the density of states of superconducting NbN thin films}}, doi = {10.1103/PhysRevB.100.174518}, volume = {100}, year = {2019}, } @article{5906, abstract = {We introduce a simple, exactly solvable strong-randomness renormalization group (RG) model for the many-body localization (MBL) transition in one dimension. Our approach relies on a family of RG flows parametrized by the asymmetry between thermal and localized phases. We identify the physical MBL transition in the limit of maximal asymmetry, reflecting the instability of MBL against rare thermal inclusions. We find a critical point that is localized with power-law distributed thermal inclusions. The typical size of critical inclusions remains finite at the transition, while the average size is logarithmically diverging. We propose a two-parameter scaling theory for the many-body localization transition that falls into the Kosterlitz-Thouless universality class, with the MBL phase corresponding to a stable line of fixed points with multifractal behavior.}, author = {Goremykina, Anna and Vasseur, Romain and Serbyn, Maksym}, issn = {1079-7114}, journal = {Physical Review Letters}, number = {4}, publisher = {American Physical Society}, title = {{Analytically solvable renormalization group for the many-body localization transition}}, doi = {10.1103/physrevlett.122.040601}, volume = {122}, year = {2019}, } @article{6174, abstract = {We propose a scaling theory for the many-body localization (MBL) phase transition in one dimension, building on the idea that it proceeds via a “quantum avalanche.” We argue that the critical properties can be captured at a coarse-grained level by a Kosterlitz-Thouless (KT) renormalization group (RG) flow. On phenomenological grounds, we identify the scaling variables as the density of thermal regions and the length scale that controls the decay of typical matrix elements. Within this KT picture, the MBL phase is a line of fixed points that terminates at the delocalization transition. We discuss two possible scenarios distinguished by the distribution of rare, fractal thermal inclusions within the MBL phase. In the first scenario, these regions have a stretched exponential distribution in the MBL phase. In the second scenario, the near-critical MBL phase hosts rare thermal regions that are power-law-distributed in size. This points to the existence of a second transition within the MBL phase, at which these power laws change to the stretched exponential form expected at strong disorder. We numerically simulate two different phenomenological RGs previously proposed to describe the MBL transition. Both RGs display a universal power-law length distribution of thermal regions at the transition with a critical exponent αc=2, and continuously varying exponents in the MBL phase consistent with the KT picture.}, author = {Dumitrescu, Philipp T. and Goremykina, Anna and Parameswaran, Siddharth A. and Serbyn, Maksym and Vasseur, Romain}, issn = {2469-9969}, journal = {Physical Review B}, number = {9}, publisher = {American Physical Society}, title = {{Kosterlitz-Thouless scaling at many-body localization phase transitions}}, doi = {10.1103/physrevb.99.094205}, volume = {99}, year = {2019}, } @article{6477, abstract = {Thermalizing quantum systems are conventionallydescribed by statistical mechanics at equilib-rium. However, not all systems fall into this category, with many-body localization providinga generic mechanism for thermalization to fail in strongly disordered systems. Many-bodylocalized (MBL) systems remain perfect insulators at nonzero temperature, which do notthermalize and therefore cannot be describedusing statistical mechanics. This Colloquiumreviews recent theoretical and experimental advances in studies of MBL systems, focusing onthe new perspective provided by entanglement and nonequilibrium experimental probes suchas quantum quenches. Theoretically, MBL systems exhibit a new kind of robust integrability: anextensive set of quasilocal integrals of motion emerges, which provides an intuitive explanationof the breakdown of thermalization. A description based on quasilocal integrals of motion isused to predict dynamical properties of MBL systems, such as the spreading of quantumentanglement, the behavior of local observables, and the response to external dissipativeprocesses. Furthermore, MBL systems can exhibit eigenstate transitions and quantum ordersforbidden in thermodynamic equilibrium. An outline isgiven of the current theoretical under-standing of the quantum-to-classical transitionbetween many-body localized and ergodic phasesand anomalous transport in the vicinity of that transition. Experimentally, synthetic quantumsystems, which are well isolated from an external thermal reservoir, provide natural platforms forrealizing the MBL phase. Recent experiments with ultracold atoms, trapped ions, superconductingqubits, and quantum materials, in which different signatures of many-body localization have beenobserved, are reviewed. This Colloquium concludes by listing outstanding challenges andpromising future research directions.}, author = {Abanin, Dmitry A. and Altman, Ehud and Bloch, Immanuel and Serbyn, Maksym}, issn = {0034-6861}, journal = {Reviews of Modern Physics}, number = {2}, publisher = {American Physical Society}, title = {{Colloquium: Many-body localization, thermalization, and entanglement}}, doi = {10.1103/revmodphys.91.021001}, volume = {91}, year = {2019}, } @article{6575, abstract = {Motivated by recent experimental observations of coherent many-body revivals in a constrained Rydbergatom chain, we construct a weak quasilocal deformation of the Rydberg-blockaded Hamiltonian, whichmakes the revivals virtually perfect. Our analysis suggests the existence of an underlying nonintegrableHamiltonian which supports an emergent SU(2)-spin dynamics within a small subspace of the many-bodyHilbert space. We show that such perfect dynamics necessitates the existence of atypical, nonergodicenergy eigenstates—quantum many-body scars. Furthermore, using these insights, we construct a toymodel that hosts exact quantum many-body scars, providing an intuitive explanation of their origin. Ourresults offer specific routes to enhancing coherent many-body revivals and provide a step towardestablishing the stability of quantum many-body scars in the thermodynamic limit.}, author = {Choi, Soonwon and Turner, Christopher J. and Pichler, Hannes and Ho, Wen Wei and Michailidis, Alexios and Papić, Zlatko and Serbyn, Maksym and Lukin, Mikhail D. and Abanin, Dmitry A.}, issn = {10797114}, journal = {Physical Review Letters}, number = {22}, publisher = {American Physical Society}, title = {{Emergent SU(2) dynamics and perfect quantum many-body scars}}, doi = {10.1103/PhysRevLett.122.220603}, volume = {122}, year = {2019}, } @article{289, abstract = {We report on quantum capacitance measurements of high quality, graphite- and hexagonal boron nitride encapsulated Bernal stacked trilayer graphene devices. At zero applied magnetic field, we observe a number of electron density- and electrical displacement-tuned features in the electronic compressibility associated with changes in Fermi surface topology. At high displacement field and low density, strong trigonal warping gives rise to emergent Dirac gullies centered near the corners of the hexagonal Brillouin and related by three fold rotation symmetry. At low magnetic fields of B=1.25~T, the gullies manifest as a change in the degeneracy of the Landau levels from two to three. Weak incompressible states are also observed at integer filling within these triplets Landau levels, which a Hartree-Fock analysis indicates are associated with Coulomb-driven nematic phases that spontaneously break rotation symmetry.}, author = {Zibrov, Alexander and Peng, Rao and Kometter, Carlos and Li, Jia and Dean, Cory and Taniguchi, Takashi and Watanabe, Kenji and Serbyn, Maksym and Young, Andrea}, journal = {Physical Review Letters}, number = {16}, publisher = {American Physical Society}, title = {{Emergent dirac gullies and gully-symmetry-breaking quantum hall states in ABA trilayer graphene}}, doi = {10.1103/PhysRevLett.121.167601}, volume = {121}, year = {2018}, } @article{296, abstract = {The thermodynamic description of many-particle systems rests on the assumption of ergodicity, the ability of a system to explore all allowed configurations in the phase space. Recent studies on many-body localization have revealed the existence of systems that strongly violate ergodicity in the presence of quenched disorder. Here, we demonstrate that ergodicity can be weakly broken by a different mechanism, arising from the presence of special eigenstates in the many-body spectrum that are reminiscent of quantum scars in chaotic non-interacting systems. In the single-particle case, quantum scars correspond to wavefunctions that concentrate in the vicinity of unstable periodic classical trajectories. We show that many-body scars appear in the Fibonacci chain, a model with a constrained local Hilbert space that has recently been experimentally realized in a Rydberg-atom quantum simulator. The quantum scarred eigenstates are embedded throughout the otherwise thermalizing many-body spectrum but lead to direct experimental signatures, as we show for periodic recurrences that reproduce those observed in the experiment. Our results suggest that scarred many-body bands give rise to a new universality class of quantum dynamics, opening up opportunities for the creation of novel states with long-lived coherence in systems that are now experimentally realizable.}, author = {Turner, Christopher and Michailidis, Alexios and Abanin, Dmitry and Serbyn, Maksym and Papić, Zlatko}, journal = {Nature Physics}, pages = {745 -- 749}, publisher = {Nature Publishing Group}, title = {{Weak ergodicity breaking from quantum many-body scars}}, doi = {10.1038/s41567-018-0137-5}, volume = {14}, year = {2018}, } @article{327, abstract = {Many-body quantum systems typically display fast dynamics and ballistic spreading of information. Here we address the open problem of how slow the dynamics can be after a generic breaking of integrability by local interactions. We develop a method based on degenerate perturbation theory that reveals slow dynamical regimes and delocalization processes in general translation invariant models, along with accurate estimates of their delocalization time scales. Our results shed light on the fundamental questions of the robustness of quantum integrable systems and the possibility of many-body localization without disorder. As an example, we construct a large class of one-dimensional lattice models where, despite the absence of asymptotic localization, the transient dynamics is exceptionally slow, i.e., the dynamics is indistinguishable from that of many-body localized systems for the system sizes and time scales accessible in experiments and numerical simulations.}, author = {Michailidis, Alexios and Žnidarič, Marko and Medvedyeva, Mariya and Abanin, Dmitry and Prosen, Tomaž and Papić, Zlatko}, journal = {Physical Review B}, number = {10}, publisher = {American Physical Society}, title = {{Slow dynamics in translation-invariant quantum lattice models}}, doi = {10.1103/PhysRevB.97.104307}, volume = {97}, year = {2018}, } @article{46, abstract = {We analyze a disordered central spin model, where a central spin interacts equally with each spin in a periodic one-dimensional (1D) random-field Heisenberg chain. If the Heisenberg chain is initially in the many-body localized (MBL) phase, we find that the coupling to the central spin suffices to delocalize the chain for a substantial range of coupling strengths. We calculate the phase diagram of the model and identify the phase boundary between the MBL and ergodic phase. Within the localized phase, the central spin significantly enhances the rate of the logarithmic entanglement growth and its saturation value. We attribute the increase in entanglement entropy to a nonextensive enhancement of magnetization fluctuations induced by the central spin. Finally, we demonstrate that correlation functions of the central spin can be utilized to distinguish between MBL and ergodic phases of the 1D chain. Hence, we propose the use of a central spin as a possible experimental probe to identify the MBL phase.}, author = {Hetterich, Daniel and Yao, Norman and Serbyn, Maksym and Pollmann, Frank and Trauzettel, Björn}, journal = {Physical Review B}, number = {16}, publisher = {American Physical Society}, title = {{Detection and characterization of many-body localization in central spin models}}, doi = {10.1103/PhysRevB.98.161122}, volume = {98}, year = {2018}, } @article{5767, abstract = {Cuprate superconductors have long been thought of as having strong electronic correlations but negligible spin-orbit coupling. Using spin- and angle-resolved photoemission spectroscopy, we discovered that one of the most studied cuprate superconductors, Bi2212, has a nontrivial spin texture with a spin-momentum locking that circles the Brillouin zone center and a spin-layer locking that allows states of opposite spin to be localized in different parts of the unit cell. Our findings pose challenges for the vast majority of models of cuprates, such as the Hubbard model and its variants, where spin-orbit interaction has been mostly neglected, and open the intriguing question of how the high-temperature superconducting state emerges in the presence of this nontrivial spin texture. }, author = {Gotlieb, Kenneth and Lin, Chiu-Yun and Serbyn, Maksym and Zhang, Wentao and Smallwood, Christopher L. and Jozwiak, Christopher and Eisaki, Hiroshi and Hussain, Zahid and Vishwanath, Ashvin and Lanzara, Alessandra}, issn = {1095-9203}, journal = {Science}, number = {6420}, pages = {1271--1275}, publisher = {American Association for the Advancement of Science}, title = {{Revealing hidden spin-momentum locking in a high-temperature cuprate superconductor}}, doi = {10.1126/science.aao0980}, volume = {362}, year = {2018}, } @article{44, abstract = {Recent realization of a kinetically constrained chain of Rydberg atoms by Bernien et al., [Nature (London) 551, 579 (2017)] resulted in the observation of unusual revivals in the many-body quantum dynamics. In our previous work [C. J. Turner et al., Nat. Phys. 14, 745 (2018)], such dynamics was attributed to the existence of “quantum scarred” eigenstates in the many-body spectrum of the experimentally realized model. Here, we present a detailed study of the eigenstate properties of the same model. We find that the majority of the eigenstates exhibit anomalous thermalization: the observable expectation values converge to their Gibbs ensemble values, but parametrically slower compared to the predictions of the eigenstate thermalization hypothesis (ETH). Amidst the thermalizing spectrum, we identify nonergodic eigenstates that strongly violate the ETH, whose number grows polynomially with system size. Previously, the same eigenstates were identified via large overlaps with certain product states, and were used to explain the revivals observed in experiment. Here, we find that these eigenstates, in addition to highly atypical expectation values of local observables, also exhibit subthermal entanglement entropy that scales logarithmically with the system size. Moreover, we identify an additional class of quantum scarred eigenstates, and discuss their manifestations in the dynamics starting from initial product states. We use forward scattering approximation to describe the structure and physical properties of quantum scarred eigenstates. Finally, we discuss the stability of quantum scars to various perturbations. We observe that quantum scars remain robust when the introduced perturbation is compatible with the forward scattering approximation. In contrast, the perturbations which most efficiently destroy quantum scars also lead to the restoration of “canonical” thermalization.}, author = {Turner, C J and Michailidis, Alexios and Abanin, D A and Serbyn, Maksym and Papić, Z}, journal = {Physical Review B}, number = {15}, publisher = {American Physical Society}, title = {{Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations}}, doi = {10.1103/PhysRevB.98.155134}, volume = {98}, year = {2018}, }