Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
Gulden T, Berg E, Rudner MS, Lindner N. 2020. Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps. SciPost Physics. 9, 015.
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Author
Gulden, TobiasISTA 
;
Berg, Erez;
Rudner, Mark Spencer;
Lindner, Netanel
;
Berg, Erez;
Rudner, Mark Spencer;
Lindner, NetanelDepartment
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.
Publishing Year
Date Published
2020-07-29
Journal Title
SciPost Physics
Publisher
SciPost Foundation
Acknowledgement
N.L., T.G. and E.B. acknowledge support from the European Research Council (ERC) under
the European Union Horizon 2020 Research and Innovation Programme (Grant Agreement
No. 639172). T.G. was in part supported by an Aly Kaufman Fellowship at the Technion. T.G.
acknowledges funding from the Institute of Science and Technology (IST) Austria, and from
the European Union’s Horizon 2020 research and innovation programme under the Marie
Skłodowska-Curie Grant Agreement No. 754411. N.L. acknowledges support from the People Programme (Marie Curie Actions) of the European Unions Seventh Framework 546 Programme (FP7/20072013), under REA Grant Agreement No. 631696, and by the Israeli Center
of Research Excellence (I-CORE) Circle of Light funded by the Israel Science Foundation (Grant
No. 1802/12). M.R. gratefully acknowledges the support of the European Research Council
(ERC) under the European Union Horizon 2020 Research and Innovation Programme (Grant
Agreement No. 678862). M.R. acknowledges the support of the Villum Foundation. M.R. and
E.B. acknowledge support from CRC 183 of the Deutsche Forschungsgemeinschaft
Volume
9
Article Number
015
ISSN
IST-REx-ID
Cite this
Gulden T, Berg E, Rudner MS, Lindner N. Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps. SciPost Physics. 2020;9. doi:10.21468/scipostphys.9.1.015
Gulden, T., Berg, E., Rudner, M. S., & Lindner, N. (2020). Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps. SciPost Physics. SciPost Foundation. https://doi.org/10.21468/scipostphys.9.1.015
Gulden, Tobias, Erez Berg, Mark Spencer Rudner, and Netanel Lindner. “Exponentially Long Lifetime of Universal Quasi-Steady States in Topological Floquet Pumps.” SciPost Physics. SciPost Foundation, 2020. https://doi.org/10.21468/scipostphys.9.1.015.
T. Gulden, E. Berg, M. S. Rudner, and N. Lindner, “Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps,” SciPost Physics, vol. 9. SciPost Foundation, 2020.
Gulden T, Berg E, Rudner MS, Lindner N. 2020. Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps. SciPost Physics. 9, 015.
Gulden, Tobias, et al. “Exponentially Long Lifetime of Universal Quasi-Steady States in Topological Floquet Pumps.” SciPost Physics, vol. 9, 015, SciPost Foundation, 2020, doi:10.21468/scipostphys.9.1.015.
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