Benini, Leonardo, Naldesi, Piero, Roemer, Rudolf A. and Roscilde, Tommaso (2021) Data for Loschmidt echo singularities as dynamical signatures of strongly localized phases. [Dataset]

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Abstract

Quantum localization (single-body or many-body) comes with the emergence of local conserved quantities --- whose conservation is precisely at the heart of the absence of transport through the system. In the case of fermionic systems and S=1/2 spin models, such conserved quantities take the form of effective two-level systems, called l-bits. While their existence is the defining feature of localized phases, their direct experimental observation remains elusive. Here we show that strongly localized l-bits bear a dramatic universal signature, accessible to state-of-the-art quantum simulators, in the form of periodic cusp singularities in the Loschmidt echo following a quantum quench from a Neel/charge-density-wave state. Such singularities are perfectly captured by a simple model of Rabi oscillations of an ensemble of independent two-level systems, which also reproduces the short-time behavior of the entanglement entropy and the imbalance dynamics. In the case of interacting localized phases, the dynamics at longer times shows a sharp crossover to a faster decay of the Loschmidt echo singularities, offering an experimentally accessible signature of the interactions between l-bits.

Item Type:	Dataset
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Physics
Type of Data:	Experimental data
Library of Congress Subject Headings (LCSH):	Chaotic behavior in systems, Hilbert space, Avogadro constant, Quantum theory, Anderson model
Publisher:	University of Warwick, Department of Physics
Official Date:	February 2021
Dates:	Date Event February 2021 Created
Collection date:	Date from Date to 2019 2020
Status:	Not Peer Reviewed
Publication Status:	Published
Media of Output (format):	.dat .txt
Access rights to Published version:	Open Access (Creative Commons)
Copyright Holders:	University of Warwick
Description:	Data record consists of a single zip archive, organised into subfolders, containing the raw data in .dat format. Numerical simulations as text data.
Date of first compliant deposit:	4 February 2021
Date of first compliant Open Access:	15 February 2021
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID UNSPECIFIED École Normale Supérieure http://dx.doi.org/10.13039/100007649 ANR-16-IDEX-0008 [ANR] Agence Nationale de la Recherche http://dx.doi.org/10.13039/501100001665 EP/P020232/1 [EPSRC] Engineering and Physical Sciences Research Council http://dx.doi.org/10.13039/501100000266
Related URLs:	Related item in WRAP Other Other
Contributors:	Contribution Name Contributor ID Depositor Benini, Leonardo 83888

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