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Dephasing and the Steady State in Quantum Many-Particle Systems
Open accessAbstract
We discuss relaxation in bosonic and fermionic many-particle systems. For integrable systems, time evolution can cause a dephasing effect, leading for finite subsystems to steady states. We explicitly derive those steady subsystem states and devise sufficient prerequisites for the dephasing to occur. We also find simple scenarios, in which dephasing is ineffective and discuss the dependence on dimensionality and criticality. It follows further that, after a quench of system parameters, entanglement entropy will become extensive. This provides a way of creating strong entanglement in a controlled fashion.
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Information theory and statistical mechanics
Jaynes, E. T. (1957) · Physical Review · doi:10.1103/physrev.106.620 · Cited by 12,931
Cited by
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Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
Polkovnikov, A., Sengupta, K., Silva, A., & Vengalattore, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.863 · Cited by 2,562
Quantum many-body systems out of equilibrium
Eisert, J., Friesdorf, M., & Gogolin, C. (2015) · Nature Physics · doi:10.1038/nphys3215 · Cited by 1,255
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
Quantum mechanical evolution towards thermal equilibrium
Linden, N., Popescu, S., Short, A. J., & Winter, A. (2009) · Physical Review E · doi:10.1103/physreve.79.061103 · Cited by 625
Metadata
- Authors
- Barthel, T., & Schollwöck, U.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-03-12
- Volume
- 100
- Issue
- 10
- Pages
- 100601-100601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2026964947
- Cited by
- 401
- References
- 1
- FWCI
- 14.50
- Type
- journal article
- Language
- en
- Open access
- green
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