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Spectral Statistics in Spatially Extended Chaotic Quantum Many-Body Systems
Open accessAbstract
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 K(t) analytically and numerically, we show that it follows random matrix theory (RMT) at times longer than a many-body Thouless time, t_{Th}. We obtain a striking dependence of t_{Th} on the spatial dimension d and size of the system. For d>1, t_{Th} is finite in the thermodynamic limit and set by the intersite coupling strength. By contrast, in one dimension t_{Th} 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.
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Cites
Random-matrix theory of quantum transport
Beenakker, C. W. J. (1997) · Reviews of Modern Physics · doi:10.1103/revmodphys.69.731 · Cited by 2,551
Cited by
Measurement-driven entanglement transition in hybrid quantum circuits
Li, Y., Chen, X., & Fisher, M. P. A. (2019) · Physical Review B · doi:10.1103/physrevb.100.134306 · Cited by 593
Unitary-projective entanglement dynamics
Chan, A., Nandkishore, R. M., Pretko, M., & Smith, G. (2019) · Physical Review B · doi:10.1103/physrevb.99.224307 · Cited by 474
Self-citationQuantum chaos challenges many-body localization
Šuntajs, J., Bonča, J., Prosen, T., & Vidmar, L. (2020) · Physical Review E · doi:10.1103/physreve.102.062144 · Cited by 396
Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
Bertini, B., Kos, P., & Prosen, T. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.264101 · Cited by 352
A semiclassical ramp in SYK and in gravity
Saad, P., Shenker, S. H., & Stanford, D. (2018) · arXiv · doi:10.48550/arxiv.1806.06840 · Cited by 208
Metadata
- Authors
- Chan, A., De Luca, A., & Chalker, J. T.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2018-08-07
- Volume
- 121
- Issue
- 6
- Pages
- 060601-060601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2793033484
- Cited by
- 223
- References
- 1
- FWCI
- 12.95
- Type
- journal article
- Language
- en
- Open access
- green
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