The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Strong and Weak Thermalization of Infinite Nonintegrable Quantum Systems
Open accessAbstract
When a nonintegrable system evolves out of equilibrium for a long time, local observables are in general expected to attain stationary expectation values, independent of the details of the initial state. But the thermalization of a closed quantum system is not yet well understood. Here we show that it presents indeed a much richer phenomenology than its classical counterpart. Using a new numerical technique, we identify two distinct regimes, strong and weak, occurring for different initial states. Strong thermalization, intrinsically quantum, happens when instantaneous local expectation values converge to the thermal ones. Weak thermalization, well known in classical systems, shows convergence to thermal values only after time averaging. Remarkably, we find a third group of states showing no thermalization, neither strong nor weak, to the time scales one can reliably simulate.
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Citations
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
On the product of semi-groups of operators
Trotter, H. F. (1959) · Proceedings of the American Mathematical Society · doi:10.1090/s0002-9939-1959-0108732-6 · Cited by 2,282
Classical Simulation of Infinite-Size Quantum Lattice Systems in Two Spatial Dimensions
Jordan, J., Orús, R., Vidal, G., Verstraete, F., & Cirac, J. I. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.250602 · Cited by 710
Self-citationMethods for Time Dependence in DMRG
Schollwöck, U. (2006) · AIP Conference Proceedings · doi:10.1063/1.2178041 · Cited by 29
Cited by
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
D'Alessio, L., Kafri, Y., Polkovnikov, A., & Rigol, M. (2016) · Advances in Physics · doi:10.1080/00018732.2016.1198134 · Cited by 2,330
Black holes and the butterfly effect
Shenker, S. H., & Stanford, D. (2014) · Journal of High Energy Physics · doi:10.1007/jhep03(2014)067 · Cited by 1,533
Quantum simulation of antiferromagnetic spin chains in an optical lattice
Simon, J., Bakr, W. S., Ma, R., Tai, M. E., Preiss, P. M., & Greiner, M. (2011) · Nature · doi:10.1038/nature09994 · Cited by 898
Quantum Quench in the Transverse-Field Ising Chain
Calabrese, P., Essler, F. H. L., & Fagotti, M. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.227203 · Cited by 688
Quench dynamics and relaxation in isolated integrable quantum spin chains
Essler, F. H. L., & Fagotti, M. (2016) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2016/06/064002 · Cited by 668
Metadata
- Authors
- Bañuls, M. C., Cirac, J. I., & Hastings, M. B.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-02-04
- Volume
- 106
- Issue
- 5
- Pages
- 050405-050405
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1970399496
- Cited by
- 357
- References
- 5
- FWCI
- 14.25
- Type
- journal article
- Language
- en
- Open access
- green
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