@article{14031, abstract = {High-harmonic spectroscopy driven by circularly polarized laser pulses and their counterrotating second harmonic is a new branch of attosecond science which currently lacks quantitative interpretations. We extend this technique to the midinfrared regime and record detailed high-harmonic spectra of several rare-gas atoms. These results are compared with the solution of the Schrödinger equation in three dimensions and calculations based on the strong-field approximation that incorporate accurate scattering-wave recombination matrix elements. A quantum-orbit analysis of these results provides a transparent interpretation of the measured intensity ratios of symmetry-allowed neighboring harmonics in terms of (i) a set of propensity rules related to the angular momentum of the atomic orbitals, (ii) atom-specific matrix elements related to their electronic structure, and (iii) the interference of the emissions associated with electrons in orbitals corotating or counterrotating with the laser fields. These results provide the foundation for a quantitative understanding of bicircular high-harmonic spectroscopy.}, author = {Baykusheva, Denitsa Rangelova and Brennecke, Simon and Lein, Manfred and Wörner, Hans Jakob}, issn = {1079-7114}, journal = {Physical Review Letters}, keywords = {General Physics and Astronomy}, number = {20}, publisher = {American Physical Society}, title = {{Signatures of electronic structure in bicircular high-harmonic spectroscopy}}, doi = {10.1103/physrevlett.119.203201}, volume = {119}, year = {2017}, } @article{1407, abstract = {We consider the problem of computing the set of initial states of a dynamical system such that there exists a control strategy to ensure that the trajectories satisfy a temporal logic specification with probability 1 (almost-surely). We focus on discrete-time, stochastic linear dynamics and specifications given as formulas of the Generalized Reactivity(1) fragment of Linear Temporal Logic over linear predicates in the states of the system. We propose a solution based on iterative abstraction-refinement, and turn-based 2-player probabilistic games. While the theoretical guarantee of our algorithm after any finite number of iterations is only a partial solution, we show that if our algorithm terminates, then the result is the set of all satisfying initial states. Moreover, for any (partial) solution our algorithm synthesizes witness control strategies to ensure almost-sure satisfaction of the temporal logic specification. While the proposed algorithm guarantees progress and soundness in every iteration, it is computationally demanding. We offer an alternative, more efficient solution for the reachability properties that decomposes the problem into a series of smaller problems of the same type. All algorithms are demonstrated on an illustrative case study.}, author = {Svoreňová, Mária and Kretinsky, Jan and Chmelik, Martin and Chatterjee, Krishnendu and Cěrná, Ivana and Belta, Cǎlin}, journal = {Nonlinear Analysis: Hybrid Systems}, number = {2}, pages = {230 -- 253}, publisher = {Elsevier}, title = {{Temporal logic control for stochastic linear systems using abstraction refinement of probabilistic games}}, doi = {10.1016/j.nahs.2016.04.006}, volume = {23}, year = {2017}, } @inproceedings{14205, abstract = {Two of the most fundamental prototypes of greedy optimization are the matching pursuit and Frank-Wolfe algorithms. In this paper, we take a unified view on both classes of methods, leading to the first explicit convergence rates of matching pursuit methods in an optimization sense, for general sets of atoms. We derive sublinear (1/t) convergence for both classes on general smooth objectives, and linear convergence on strongly convex objectives, as well as a clear correspondence of algorithm variants. Our presented algorithms and rates are affine invariant, and do not need any incoherence or sparsity assumptions.}, author = {Locatello, Francesco and Khanna, Rajiv and Tschannen, Michael and Jaggi, Martin}, booktitle = {Proceedings of the 20th International Conference on Artificial Intelligence and Statistics}, location = {Fort Lauderdale, FL, United States}, pages = {860--868}, publisher = {ML Research Press}, title = {{A unified optimization view on generalized matching pursuit and Frank-Wolfe}}, volume = {54}, year = {2017}, } @inproceedings{14206, abstract = {Greedy optimization methods such as Matching Pursuit (MP) and Frank-Wolfe (FW) algorithms regained popularity in recent years due to their simplicity, effectiveness and theoretical guarantees. MP and FW address optimization over the linear span and the convex hull of a set of atoms, respectively. In this paper, we consider the intermediate case of optimization over the convex cone, parametrized as the conic hull of a generic atom set, leading to the first principled definitions of non-negative MP algorithms for which we give explicit convergence rates and demonstrate excellent empirical performance. In particular, we derive sublinear (O(1/t)) convergence on general smooth and convex objectives, and linear convergence (O(e−t)) on strongly convex objectives, in both cases for general sets of atoms. Furthermore, we establish a clear correspondence of our algorithms to known algorithms from the MP and FW literature. Our novel algorithms and analyses target general atom sets and general objective functions, and hence are directly applicable to a large variety of learning settings.}, author = {Locatello, Francesco and Tschannen, Michael and Rätsch, Gunnar and Jaggi, Martin}, booktitle = {Advances in Neural Information Processing Systems}, isbn = {9781510860964}, location = {Long Beach, CA, United States}, title = {{Greedy algorithms for cone constrained optimization with convergence guarantees}}, year = {2017}, } @article{14309, abstract = {Establishing precise control over the shape and the interactions of the microscopic building blocks is essential for design of macroscopic soft materials with novel structural, optical and mechanical properties. Here, we demonstrate robust assembly of DNA origami filaments into cholesteric liquid crystals, one-dimensional supramolecular twisted ribbons and two-dimensional colloidal membranes. The exquisite control afforded by the DNA origami technology establishes a quantitative relationship between the microscopic filament structure and the macroscopic cholesteric pitch. Furthermore, it also enables robust assembly of one-dimensional twisted ribbons, which behave as effective supramolecular polymers whose structure and elastic properties can be precisely tuned by controlling the geometry of the elemental building blocks. Our results demonstrate the potential synergy between DNA origami technology and colloidal science, in which the former allows for rapid and robust synthesis of complex particles, and the latter can be used to assemble such particles into bulk materials.}, author = {Siavashpouri, M and Wachauf, CH and Zakhary, MJ and Praetorius, Florian M and Dietz, H and Dogic, Z}, issn = {1476-4660}, journal = {Nature Materials}, number = {8}, pages = {849--856}, publisher = {Springer Nature}, title = {{Molecular engineering of chiral colloidal liquid crystals using DNA origami}}, doi = {10.1038/nmat4909}, volume = {16}, year = {2017}, } @article{909, abstract = {We study the lengths of curves passing through a fixed number of points on the boundary of a convex shape in the plane. We show that, for any convex shape K, there exist four points on the boundary of K such that the length of any curve passing through these points is at least half of the perimeter of K. It is also shown that the same statement does not remain valid with the additional constraint that the points are extreme points of K. Moreover, the factor ½ cannot be achieved with any fixed number of extreme points. We conclude the paper with a few other inequalities related to the perimeter of a convex shape.}, author = {Akopyan, Arseniy and Vysotsky, Vladislav}, issn = {00029890}, journal = {The American Mathematical Monthly}, number = {7}, pages = {588 -- 596}, publisher = {Mathematical Association of America}, title = {{On the lengths of curves passing through boundary points of a planar convex shape}}, doi = {10.4169/amer.math.monthly.124.7.588}, volume = {124}, year = {2017}, } @article{910, abstract = {Frequency-independent selection is generally considered as a force that acts to reduce the genetic variation in evolving populations, yet rigorous arguments for this idea are scarce. When selection fluctuates in time, it is unclear whether frequency-independent selection may maintain genetic polymorphism without invoking additional mechanisms. We show that constant frequency-independent selection with arbitrary epistasis on a well-mixed haploid population eliminates genetic variation if we assume linkage equilibrium between alleles. To this end, we introduce the notion of frequency-independent selection at the level of alleles, which is sufficient to prove our claim and contains the notion of frequency-independent selection on haploids. When selection and recombination are weak but of the same order, there may be strong linkage disequilibrium; numerical calculations show that stable equilibria are highly unlikely. Using the example of a diallelic two-locus model, we then demonstrate that frequency-independent selection that fluctuates in time can maintain stable polymorphism if linkage disequilibrium changes its sign periodically. We put our findings in the context of results from the existing literature and point out those scenarios in which the possible role of frequency-independent selection in maintaining genetic variation remains unclear. }, author = {Novak, Sebastian and Barton, Nicholas H}, journal = {Genetics}, number = {2}, pages = {653 -- 668}, publisher = {Genetics Society of America}, title = {{When does frequency-independent selection maintain genetic variation?}}, doi = {10.1534/genetics.117.300129}, volume = {207}, year = {2017}, } @inproceedings{911, abstract = {We develop a probabilistic technique for colorizing grayscale natural images. In light of the intrinsic uncertainty of this task, the proposed probabilistic framework has numerous desirable properties. In particular, our model is able to produce multiple plausible and vivid colorizations for a given grayscale image and is one of the first colorization models to provide a proper stochastic sampling scheme. Moreover, our training procedure is supported by a rigorous theoretical framework that does not require any ad hoc heuristics and allows for efficient modeling and learning of the joint pixel color distribution.We demonstrate strong quantitative and qualitative experimental results on the CIFAR-10 dataset and the challenging ILSVRC 2012 dataset.}, author = {Royer, Amélie and Kolesnikov, Alexander and Lampert, Christoph}, location = {London, United Kingdom}, pages = {85.1--85.12}, publisher = {BMVA Press}, title = {{Probabilistic image colorization}}, doi = {10.5244/c.31.85}, year = {2017}, } @article{912, abstract = {We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer (BCS) theory. We measure the free energy of the whole sample with respect to the free energy of a reference state which allows us to define a BCS functional with boundary conditions at infinity. Our main result is a lower bound for this energy functional in terms of expressions that typically appear in Ginzburg-Landau functionals. }, author = {Deuchert, Andreas}, issn = {00222488}, journal = { Journal of Mathematical Physics}, number = {8}, publisher = {AIP Publishing}, title = {{A lower bound for the BCS functional with boundary conditions at infinity}}, doi = {10.1063/1.4996580}, volume = {58}, year = {2017}, } @article{9137, abstract = {Pools of air cooled by partial rain evaporation span up to several hundreds of kilometers in nature and typically last less than 1 day, ultimately losing their identity to the large-scale flow. These fundamentally differ in character from the radiatively-driven dry pools defining convective aggregation. Advancement in remote sensing and in computer capabilities has promoted exploration of how precipitation-induced cold pool processes modify the convective spectrum and life cycle. This contribution surveys current understanding of such cold pools over the tropical and subtropical oceans. In shallow convection with low rain rates, the cold pools moisten, preserving the near-surface equivalent potential temperature or increasing it if the surface moisture fluxes cannot ventilate beyond the new surface layer; both conditions indicate downdraft origin air from within the boundary layer. When rain rates exceed ∼ 2 mm h−1, convective-scale downdrafts can bring down drier air of lower equivalent potential temperature from above the boundary layer. The resulting density currents facilitate the lifting of locally thermodynamically favorable air and can impose an arc-shaped mesoscale cloud organization. This organization allows clouds capable of reaching 4–5 km within otherwise dry environments. These are more commonly observed in the northern hemisphere trade wind regime, where the flow to the intertropical convergence zone is unimpeded by the equator. Their near-surface air properties share much with those shown from cold pools sampled in the equatorial Indian Ocean. Cold pools are most effective at influencing the mesoscale organization when the atmosphere is moist in the lower free troposphere and dry above, suggesting an optimal range of water vapor paths. Outstanding questions on the relationship between cold pools, their accompanying moisture distribution and cloud cover are detailed further. Near-surface water vapor rings are documented in one model inside but near the cold pool edge; these are not consistent with observations, but do improve with smaller horizontal grid spacings.}, author = {Zuidema, Paquita and Torri, Giuseppe and Muller, Caroline J and Chandra, Arunchandra}, issn = {0169-3298}, journal = {Surveys in Geophysics}, keywords = {Geochemistry and Petrology, Geophysics}, number = {6}, pages = {1283--1305}, publisher = {Springer Nature}, title = {{A survey of precipitation-induced atmospheric cold pools over oceans and their interactions with the larger-scale environment}}, doi = {10.1007/s10712-017-9447-x}, volume = {38}, year = {2017}, } @article{9138, abstract = {Convective self-aggregation, the spontaneous organization of initially scattered convection into isolated convective clusters despite spatially homogeneous boundary conditions and forcing, was first recognized and studied in idealized numerical simulations. While there is a rich history of observational work on convective clustering and organization, there have been only a few studies that have analyzed observations to look specifically for processes related to self-aggregation in models. Here we review observational work in both of these categories and motivate the need for more of this work. We acknowledge that self-aggregation may appear to be far-removed from observed convective organization in terms of time scales, initial conditions, initiation processes, and mean state extremes, but we argue that these differences vary greatly across the diverse range of model simulations in the literature and that these comparisons are already offering important insights into real tropical phenomena. Some preliminary new findings are presented, including results showing that a self-aggregation simulation with square geometry has too broad distribution of humidity and is too dry in the driest regions when compared with radiosonde records from Nauru, while an elongated channel simulation has realistic representations of atmospheric humidity and its variability. We discuss recent work increasing our understanding of how organized convection and climate change may interact, and how model discrepancies related to this question are prompting interest in observational comparisons. We also propose possible future directions for observational work related to convective aggregation, including novel satellite approaches and a ground-based observational network.}, author = {Holloway, Christopher E. and Wing, Allison A. and Bony, Sandrine and Muller, Caroline J and Masunaga, Hirohiko and L’Ecuyer, Tristan S. and Turner, David D. and Zuidema, Paquita}, issn = {0169-3298}, journal = {Surveys in Geophysics}, keywords = {Geochemistry and Petrology, Geophysics}, number = {6}, pages = {1199--1236}, publisher = {Springer Nature}, title = {{Observing convective aggregation}}, doi = {10.1007/s10712-017-9419-1}, volume = {38}, year = {2017}, } @article{914, abstract = {Infections with potentially lethal pathogens may negatively affect an individual’s lifespan and decrease its reproductive value. The terminal investment hypothesis predicts that individuals faced with a reduced survival should invest more into reproduction instead of maintenance and growth. Several studies suggest that individuals are indeed able to estimate their body condition and to increase their reproductive effort with approaching death, while other studies gave ambiguous results. We investigate whether queens of a perennial social insect (ant) are able to boost their reproduction following infection with an obligate killing pathogen. Social insect queens are special with regard to reproduction and aging, as they outlive conspecific non-reproductive workers. Moreover, in the ant Cardiocondyla obscurior, fecundity increases with queen age. However, it remained unclear whether this reflects negative reproductive senescence or terminal investment in response to approaching death. Here, we test whether queens of C. obscurior react to infection with the entomopathogenic fungus Metarhizium brunneum by an increased egg-laying rate. We show that a fungal infection triggers a reinforced investment in reproduction in queens. This adjustment of the reproductive rate by ant queens is consistent with predictions of the terminal investment hypothesis and is reported for the first time in a social insect.}, author = {Giehr, Julia and Grasse, Anna V and Cremer, Sylvia and Heinze, Jürgen and Schrempf, Alexandra}, issn = {20545703}, journal = {Royal Society Open Science}, number = {7}, publisher = {Royal Society, The}, title = {{Ant queens increase their reproductive efforts after pathogen infection}}, doi = {10.1098/rsos.170547}, volume = {4}, year = {2017}, } @inproceedings{915, abstract = {We propose a dual decomposition and linear program relaxation of the NP-hard minimum cost multicut problem. Unlike other polyhedral relaxations of the multicut polytope, it is amenable to efficient optimization by message passing. Like other polyhedral relaxations, it can be tightened efficiently by cutting planes. We define an algorithm that alternates between message passing and efficient separation of cycle- and odd-wheel inequalities. This algorithm is more efficient than state-of-the-art algorithms based on linear programming, including algorithms written in the framework of leading commercial software, as we show in experiments with large instances of the problem from applications in computer vision, biomedical image analysis and data mining.}, author = {Swoboda, Paul and Andres, Bjoern}, isbn = {978-153860457-1}, location = {Honolulu, HA, United States}, pages = {4990--4999}, publisher = {IEEE}, title = {{A message passing algorithm for the minimum cost multicut problem}}, doi = {10.1109/CVPR.2017.530}, volume = {2017}, year = {2017}, } @article{9152, abstract = {Previous numerical studies of the dissipation of internal tides in idealized settings suggest the existence of a critical latitude (~29°) where dissipation is enhanced. But observations only indicate a modest enhancement at this latitude. To resolve this difference between observational and numerical results, the authors study the latitudinal dependence of internal tides’ dissipation in more realistic conditions. In particular, the ocean is not a quiescent medium; the presence of large-scale currents or mesoscale eddies can impact the propagation and dissipation of internal tides. This paper investigates the impact of a weak background mean current in numerical simulations. The authors focus on the local dissipation of high spatial mode internal waves near their generation site. The vertical profile of dissipation and its variation with latitude without the mean current are consistent with earlier studies. But adding a weak mean current has a major impact on the latitudinal distribution of dissipation. The peak at the critical latitude disappears, and the dissipation is closer to a constant, albeit with two weak peaks at ~25° and ~35° latitude. This disappearance results from the Doppler shift of the internal tides’ frequency, which hinders the nonlinear transfer of energy to small-scale secondary waves via the parametric subharmonic instability (PSI). The new two weak peaks correspond to the Doppler-shifted critical latitudes of the left- and right-propagating waves. The results are confirmed in simulations with simple sinusoidal topography. Thus, although nonlinear transfers via PSI are efficient at dissipating internal tides, the exact location of the dissipation is sensitive to large-scale oceanic conditions.}, author = {Richet, O. and Muller, Caroline J and Chomaz, J.-M.}, issn = {0022-3670}, journal = {Journal of Physical Oceanography}, keywords = {Oceanography}, number = {6}, pages = {1457--1472}, publisher = {American Meteorological Society}, title = {{Impact of a mean current on the internal tide energy dissipation at the critical latitude}}, doi = {10.1175/jpo-d-16-0197.1}, volume = {47}, year = {2017}, } @inproceedings{916, abstract = {We study the quadratic assignment problem, in computer vision also known as graph matching. Two leading solvers for this problem optimize the Lagrange decomposition duals with sub-gradient and dual ascent (also known as message passing) updates. We explore this direction further and propose several additional Lagrangean relaxations of the graph matching problem along with corresponding algorithms, which are all based on a common dual ascent framework. Our extensive empirical evaluation gives several theoretical insights and suggests a new state-of-the-art anytime solver for the considered problem. Our improvement over state-of-the-art is particularly visible on a new dataset with large-scale sparse problem instances containing more than 500 graph nodes each.}, author = {Swoboda, Paul and Rother, Carsten and Abu Alhaija, Carsten and Kainmueller, Dagmar and Savchynskyy, Bogdan}, isbn = {978-153860457-1}, location = {Honolulu, HA, United States}, pages = {7062--7071}, publisher = {IEEE}, title = {{A study of lagrangean decompositions and dual ascent solvers for graph matching}}, doi = {10.1109/CVPR.2017.747}, volume = {2017}, year = {2017}, } @inproceedings{917, abstract = {We propose a general dual ascent framework for Lagrangean decomposition of combinatorial problems. Although methods of this type have shown their efficiency for a number of problems, so far there was no general algorithm applicable to multiple problem types. In this work, we propose such a general algorithm. It depends on several parameters, which can be used to optimize its performance in each particular setting. We demonstrate efficacy of our method on graph matching and multicut problems, where it outperforms state-of-the-art solvers including those based on subgradient optimization and off-the-shelf linear programming solvers.}, author = {Swoboda, Paul and Kuske, Jan and Savchynskyy, Bogdan}, isbn = {978-153860457-1}, location = {Honolulu, HA, United States}, pages = {4950--4960}, publisher = {IEEE}, title = {{A dual ascent framework for Lagrangean decomposition of combinatorial problems}}, doi = {10.1109/CVPR.2017.526}, volume = {2017}, year = {2017}, } @article{9190, abstract = {Plant meristems carry pools of continuously active stem cells, whose activity is controlled by developmental and environmental signals. After stem cell division, daughter cells that exit the stem cell domain acquire transit amplifying cell identity before they are incorporated into organs and differentiate. In this study, we used an integrated approach to elucidate the role of HECATE (HEC) genes in regulating developmental trajectories of shoot stem cells in Arabidopsis thaliana. Our work reveals that HEC function stabilizes cell fate in distinct zones of the shoot meristem thereby controlling the spatio-temporal dynamics of stem cell differentiation. Importantly, this activity is concomitant with the local modulation of cellular responses to cytokinin and auxin, two key phytohormones regulating cell behaviour. Mechanistically, we show that HEC factors transcriptionally control and physically interact with MONOPTEROS (MP), a key regulator of auxin signalling, and modulate the autocatalytic stabilization of auxin signalling output.}, author = {Gaillochet, Christophe and Stiehl, Thomas and Wenzl, Christian and Ripoll, Juan-José and Bailey-Steinitz, Lindsay J and Li, Lanxin and Pfeiffer, Anne and Miotk, Andrej and Hakenjos, Jana P and Forner, Joachim and Yanofsky, Martin F and Marciniak-Czochra, Anna and Lohmann, Jan U}, issn = {2050-084X}, journal = {eLife}, publisher = {eLife Sciences Publications}, title = {{Control of plant cell fate transitions by transcriptional and hormonal signals}}, doi = {10.7554/elife.30135}, volume = {6}, year = {2017}, } @article{93, abstract = {An electro-optomechanical device capable of microwave-to-optics conversion has recently been demonstrated, with the vision of enabling optical networks of superconducting qubits. Here we present an improved converter design that uses a three-dimensional microwave cavity for coupling between the microwave transmission line and an integrated LC resonator on the converter chip. The new design simplifies the optical assembly and decouples it from the microwave part of the setup. Experimental demonstrations show that the modular device assembly allows us to flexibly tune the microwave coupling to the converter chip while maintaining small loss. We also find that electromechanical experiments are not impacted by the additional microwave cavity. Our design is compatible with a high-finesse optical cavity and will improve optical performance.}, author = {Menke, Tim and Burns, Peter and Higginbotham, Andrew P and Kampel, N S and Peterson, Robert and Cicak, Katarina and Simmonds, Raymond and Regal, Cindy and Lehnert, Konrad}, journal = {Review of Scientific Instruments}, number = {9}, publisher = {American Institute of Physics}, title = {{Reconfigurable re-entrant cavity for wireless coupling to an electro-optomechanical device}}, doi = {10.1063/1.5000973}, volume = {88}, year = {2017}, } @phdthesis{938, abstract = {The thesis encompasses several topics of plant cell biology which were studied in the model plant Arabidopsis thaliana. Chapter 1 concerns the plant hormone auxin and its polar transport through cells and tissues. The highly controlled, directional transport of auxin is facilitated by plasma membrane-localized transporters. Transporters from the PIN family direct auxin transport due to their polarized localizations at cell membranes. Substantial effort has been put into research on cellular trafficking of PIN proteins, which is thought to underlie their polar distribution. I participated in a forward genetic screen aimed at identifying novel regulators of PIN polarity. The screen yielded several genes which may be involved in PIN polarity regulation or participate in polar auxin transport by other means. Chapter 2 focuses on the endomembrane system, with particular attention to clathrin-mediated endocytosis. The project started with identification of several proteins that interact with clathrin light chains. Among them, I focused on two putative homologues of auxilin, which in non-plant systems is an endocytotic factor known for uncoating clathrin-coated vesicles in the final step of endocytosis. The body of my work consisted of an in-depth characterization of transgenic A. thaliana lines overexpressing these putative auxilins in an inducible manner. Overexpression of these proteins leads to an inhibition of endocytosis, as documented by imaging of cargoes and clathrin-related endocytic machinery. An extension of this work is an investigation into a concept of homeostatic regulation acting between distinct transport processes in the endomembrane system. With auxilin overexpressing lines, where endocytosis is blocked specifically, I made observations on the mutual relationship between two opposite trafficking processes of secretion and endocytosis. In Chapter 3, I analyze cortical microtubule arrays and their relationship to auxin signaling and polarized growth in elongating cells. In plants, microtubules are organized into arrays just below the plasma membrane, and it is thought that their function is to guide membrane-docked cellulose synthase complexes. These, in turn, influence cell wall structure and cell shape by directed deposition of cellulose fibres. In elongating cells, cortical microtubule arrays are able to reorient in relation to long cell axis, and these reorientations have been linked to cell growth and to signaling of growth-regulating factors such as auxin or light. In this chapter, I am addressing the causal relationship between microtubule array reorientation, growth, and auxin signaling. I arrive at a model where array reorientation is not guided by auxin directly, but instead is only controlled by growth, which, in turn, is regulated by auxin.}, author = {Adamowski, Maciek}, issn = {2663-337X}, pages = {117}, publisher = {Institute of Science and Technology Austria}, title = {{Investigations into cell polarity and trafficking in the plant model Arabidopsis thaliana }}, doi = {10.15479/AT:ISTA:th_842}, year = {2017}, } @article{939, abstract = {We reveal the existence of continuous families of guided single-mode solitons in planar waveguides with weakly nonlinear active core and absorbing boundaries. Stable propagation of TE and TM-polarized solitons is accompanied by attenuation of all other modes, i.e., the waveguide features properties of conservative and dissipative systems. If the linear spectrum of the waveguide possesses exceptional points, which occurs in the case of TM polarization, an originally focusing (defocusing) material nonlinearity may become effectively defocusing (focusing). This occurs due to the geometric phase of the carried eigenmode when the surface impedance encircles the exceptional point. In its turn, the change of the effective nonlinearity ensures the existence of dark (bright) solitons in spite of focusing (defocusing) Kerr nonlinearity of the core. The existence of an exceptional point can also result in anomalous enhancement of the effective nonlinearity. In terms of practical applications, the nonlinearity of the reported waveguide can be manipulated by controlling the properties of the absorbing cladding.}, author = {Midya, Bikashkali and Konotop, Vladimir}, issn = {00319007}, journal = {Physical Review Letters}, number = {3}, publisher = {American Physical Society}, title = {{Waveguides with absorbing boundaries: Nonlinearity controlled by an exceptional point and solitons}}, doi = {10.1103/PhysRevLett.119.033905}, volume = {119}, year = {2017}, }