Emergent Hydrodynamics in Nonequilibrium Quantum Systems
Abstract
A tremendous amount of recent attention has focused on characterizing the dynamical properties of periodically driven many-body systems. Here, we use a novel numerical tool termed "density matrix truncation" (DMT) to investigate the late-time dynamics of large-scale Floquet systems. We find that DMT accurately captures two essential pieces of Floquet physics, namely, prethermalization and late-time heating to infinite temperature. Moreover, by implementing a spatially inhomogeneous drive, we demonstrate that an interplay between Floquet heating and diffusive transport is crucial to understanding the system's dynamics. Finally, we show that DMT also provides a powerful method for quantitatively capturing the emergence of hydrodynamics in static (undriven) Hamiltonians; in particular, by simulating the dynamics of generic, large-scale quantum spin chains (up to L=100), we are able to directly extract the energy diffusion coefficient.
Additional Information
© 2020 American Physical Society. Received 7 August 2019; revised 13 November 2019; accepted 16 June 2020; published 15 July 2020. We would like to thank Yuval Baum, Soonwon Choi, Bryce Kobrin, Gregory D. Meyer, Mark Rudner, Michael Zaletel, Canxun Zhang, and Chong Zu for helpful conversations. Krylov-subspace simulations were performed using the software package Dynamite, a wrapper for the petsc/slepc libraries [50–52,67]. This work is supported by the US Department of Energy (No. DE-SC0019241 and GeoFlow Award No. DE-SC0019380), the Alfred P. Sloan Foundation, the David and Lucile Packard Foundation, and the W. M. Keck Foundation. R. M. acknowledges support from the NSF (DMR-1848336). C. D. W. gratefully acknowledges the support of the Caltech Institute for Quantum Information and Matter, a NSF Physics Frontiers Center supported by the Gordon and Betty Moore Foundation, and the National Science Foundation Graduate Research Fellowship under Grant No. DGE1745301.Attached Files
Published - PhysRevLett.125.030601.pdf
Supplemental Material - supp.pdf
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Additional details
- Eprint ID
- 104393
- Resolver ID
- CaltechAUTHORS:20200715-154527286
- Department of Energy (DOE)
- DE-SC0019241
- Department of Energy (DOE)
- DE-SC0019380
- Alfred P. Sloan Foundation
- David and Lucile Packard Foundation
- W. M. Keck Foundation
- NSF
- DMR-1848336
- Institute for Quantum Information and Matter (IQIM)
- Gordon and Betty Moore Foundation
- NSF Graduate Research Fellowship
- DGE-1745301
- Created
-
2020-07-15Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter