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Solution of a Minimal Model for Many-Body Quantum Chaos
Open accessAbstract
We solve a minimal model for an ergodic phase in a spatially extended quantum many-body system.The model consists of a chain of sites with nearest-neighbor coupling under Floquet time evolution.Quantum states at each site span a q-dimensional Hilbert space, and time evolution for a pair of sites is generated by a q 2 × q 2 random unitary matrix.The Floquet operator is specified by a quantum circuit of depth two, in which each site is coupled to its neighbor on one side during the first half of the evolution period and to its neighbor on the other side during the second half of the period.We show how dynamical behavior averaged over realizations of the random matrices can be evaluated using diagrammatic techniques and how this approach leads to exact expressions in the large-q limit.We give results for the spectral form factor, relaxation of local observables, bipartite entanglement growth, and operator spreading.
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Cites
Chaos and quantum thermalization
Srednicki, M. (1994) · Physical Review E · doi:10.1103/physreve.50.888 · Cited by 3,175
Quantum statistical mechanics in a closed system
Deutsch, J. M. (1991) · Physical Review A · doi:10.1103/physreva.43.2046 · Cited by 2,860
The finite group velocity of quantum spin systems
Lieb, E. H., & Robinson, D. W. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01645779 · Cited by 1,463
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
A Universal Operator Growth Hypothesis
Parker, D. E., Cao, X., Avdoshkin, A., Scaffidi, T., & Altman, E. (2019) · Physical Review X · doi:10.1103/physrevx.9.041017 · Cited by 367
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
Metadata
- Authors
- Chan, A., De Luca, A., & Chalker, J. T.
- Venue
- Physical Review X
- Publisher
- American Physical Society (APS)
- Published
- 2018-11-08
- Volume
- 8
- Issue
- 4
- ISSN
- 2160-3308 (ISSN-L)
- OpenAlex
- W2776621698
- Cited by
- 297
- References
- 3
- FWCI
- 13.09
- Type
- journal article
- Language
- en
- Open access
- gold
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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