Quantifying and Controlling Prethermal Nonergodicity in Interacting Floquet Matter

The use of periodic driving for synthesizing many-body quantum states depends crucially on the existence of a prethermal regime, which exhibits drive-tunable properties while forestalling the effects of heating. This dependence motivates the search for direct experimental probes of the underlying lo...

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Main Authors: K. Singh, C. J. Fujiwara, Z. A. Geiger, E. Q. Simmons, M. Lipatov, A. Cao, P. Dotti, S. V. Rajagopal, R. Senaratne, T. Shimasaki, M. Heyl, A. Eckardt, D. M. Weld
Format: Article
Language:English
Published: American Physical Society 2019-10-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.9.041021
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author K. Singh
C. J. Fujiwara
Z. A. Geiger
E. Q. Simmons
M. Lipatov
A. Cao
P. Dotti
S. V. Rajagopal
R. Senaratne
T. Shimasaki
M. Heyl
A. Eckardt
D. M. Weld
author_facet K. Singh
C. J. Fujiwara
Z. A. Geiger
E. Q. Simmons
M. Lipatov
A. Cao
P. Dotti
S. V. Rajagopal
R. Senaratne
T. Shimasaki
M. Heyl
A. Eckardt
D. M. Weld
author_sort K. Singh
collection DOAJ
description The use of periodic driving for synthesizing many-body quantum states depends crucially on the existence of a prethermal regime, which exhibits drive-tunable properties while forestalling the effects of heating. This dependence motivates the search for direct experimental probes of the underlying localized nonergodic nature of the wave function in this metastable regime. We report experiments on a many-body Floquet system consisting of atoms in an optical lattice subjected to ultrastrong sign-changing amplitude modulation. Using a double-quench protocol, we measure an inverse participation ratio quantifying the degree of prethermal localization as a function of tunable drive parameters and interactions. We obtain a complete prethermal map of the drive-dependent properties of Floquet matter spanning four square decades of parameter space. Following the full time evolution, we observe sequential formation of two prethermal plateaux, interaction-driven ergodicity, and strongly frequency-dependent dynamics of long-time thermalization. The quantitative characterization of the prethermal Floquet matter realized in these experiments, along with the demonstration of control of its properties by variation of drive parameters and interactions, opens a new frontier for probing far-from-equilibrium quantum statistical mechanics and new possibilities for dynamical quantum engineering.
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spelling doaj.art-57275537db3b42f590ab058f7e3eb8332022-12-21T21:24:58ZengAmerican Physical SocietyPhysical Review X2160-33082019-10-019404102110.1103/PhysRevX.9.041021Quantifying and Controlling Prethermal Nonergodicity in Interacting Floquet MatterK. SinghC. J. FujiwaraZ. A. GeigerE. Q. SimmonsM. LipatovA. CaoP. DottiS. V. RajagopalR. SenaratneT. ShimasakiM. HeylA. EckardtD. M. WeldThe use of periodic driving for synthesizing many-body quantum states depends crucially on the existence of a prethermal regime, which exhibits drive-tunable properties while forestalling the effects of heating. This dependence motivates the search for direct experimental probes of the underlying localized nonergodic nature of the wave function in this metastable regime. We report experiments on a many-body Floquet system consisting of atoms in an optical lattice subjected to ultrastrong sign-changing amplitude modulation. Using a double-quench protocol, we measure an inverse participation ratio quantifying the degree of prethermal localization as a function of tunable drive parameters and interactions. We obtain a complete prethermal map of the drive-dependent properties of Floquet matter spanning four square decades of parameter space. Following the full time evolution, we observe sequential formation of two prethermal plateaux, interaction-driven ergodicity, and strongly frequency-dependent dynamics of long-time thermalization. The quantitative characterization of the prethermal Floquet matter realized in these experiments, along with the demonstration of control of its properties by variation of drive parameters and interactions, opens a new frontier for probing far-from-equilibrium quantum statistical mechanics and new possibilities for dynamical quantum engineering.http://doi.org/10.1103/PhysRevX.9.041021
spellingShingle K. Singh
C. J. Fujiwara
Z. A. Geiger
E. Q. Simmons
M. Lipatov
A. Cao
P. Dotti
S. V. Rajagopal
R. Senaratne
T. Shimasaki
M. Heyl
A. Eckardt
D. M. Weld
Quantifying and Controlling Prethermal Nonergodicity in Interacting Floquet Matter
Physical Review X
title Quantifying and Controlling Prethermal Nonergodicity in Interacting Floquet Matter
title_full Quantifying and Controlling Prethermal Nonergodicity in Interacting Floquet Matter
title_fullStr Quantifying and Controlling Prethermal Nonergodicity in Interacting Floquet Matter
title_full_unstemmed Quantifying and Controlling Prethermal Nonergodicity in Interacting Floquet Matter
title_short Quantifying and Controlling Prethermal Nonergodicity in Interacting Floquet Matter
title_sort quantifying and controlling prethermal nonergodicity in interacting floquet matter
url http://doi.org/10.1103/PhysRevX.9.041021
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