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Loschmidt echo singularities as dynamical signatures of strongly localized phases
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Benini, Leonardo, Naldesi, Piero, Roemer, Rudolf A. and Roscilde, Tommaso (2021) Loschmidt echo singularities as dynamical signatures of strongly localized phases. New Journal of Physics, 23 . 023030. doi:10.1088/1367-2630/abdf9d ISSN 1367-2630.
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Official URL: https://doi.org/10.1088/1367-2630/abdf9d
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: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QC Physics | ||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Chaotic behavior in systems, Hilbert space, Avogadro constant, Quantum theory, Anderson model | ||||||||||||
| Journal or Publication Title: | New Journal of Physics | ||||||||||||
| Publisher: | IOP Publishing | ||||||||||||
| ISSN: | 1367-2630 | ||||||||||||
| Official Date: | February 2021 | ||||||||||||
| Dates: |
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| Volume: | 23 | ||||||||||||
| Article Number: | 023030 | ||||||||||||
| DOI: | 10.1088/1367-2630/abdf9d | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
| Date of first compliant deposit: | 4 February 2021 | ||||||||||||
| Date of first compliant Open Access: | 8 February 2021 | ||||||||||||
| RIOXX Funder/Project Grant: |
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