Journal article
Spectral statistics in spatially extended chaotic quantum many-body systems
- Abstract:
- We study spectral statistics in spatially extended chaotic quantum many-body systems, using simple lattice Floquet models without time-reversal symmetry. Computing the spectral form factor KðtÞ analytically and numerically, we show that it follows random matrix theory (RMT) at times longer than a many-body Thouless time, tTh. We obtain a striking dependence of tTh on the spatial dimension d and size of the system. For d > 1, tTh is finite in the thermodynamic limit and set by the intersite coupling strength. By contrast, in one dimension tTh diverges with system size, and for large systems there is a wide window in which spectral correlations are not of RMT form. Lastly, our Floquet model exhibits a many-body localization transition, and we discuss the behavior of the spectral form factor in the localized phase.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 602.0KB, Terms of use)
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- Publisher copy:
- 10.1103/PhysRevLett.121.060601
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical Review Letters More from this journal
- Volume:
- 121
- Issue:
- 6
- Article number:
- 060601
- Publication date:
- 2018-08-07
- Acceptance date:
- 2018-07-16
- DOI:
- EISSN:
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1079-7114
- ISSN:
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0031-9007
- Keywords:
- Pubs id:
-
pubs:831660
- UUID:
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uuid:baf3d82e-b1c8-4ae2-af34-4014d14d6936
- Local pid:
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pubs:831660
- Source identifiers:
-
831660
- Deposit date:
-
2018-05-01
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 American Physical Society. This is the accepted manuscript version of the article. The final version is available online from American Physical Society at: https://doi.org/10.1103/PhysRevLett.121.060601
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