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Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
Open accessAbstract
We study the statistics of the work done on a quantum critical system by quenching a control parameter in the Hamiltonian. We elucidate the relation between the probability distribution of the work and the Loschmidt echo, a quantity emerging usually in the context of dephasing. Using this connection we characterize the statistics of the work done on a quantum Ising chain by quenching locally or globally the transverse field. We show that for local quenches starting at criticality the probability distribution of the work displays an interesting edge singularity.
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Cites
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/415039a · Cited by 5,935
Nonequilibrium Equality for Free Energy Differences
Jarzynski, C. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2690 · Cited by 5,293
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Kinoshita, T., Wenger, T., & Weiss, D. S. (2006) · Nature · doi:10.1038/nature04693 · Cited by 1,997
Rigol, M., Dunjko, V., Yurovsky, V., & Olshanii, M. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.050405 · Cited by 1,578
Collapse and revival of the matter wave field of a Bose–Einstein condensate
Greiner, M., Mandel, O., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/nature00968 · Cited by 1,219
Time Dependence of Correlation Functions Following a Quantum Quench
Calabrese, P., & Cardy, J. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.136801 · Cited by 1,190
Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
Duan, L.-M., Demler, E., & Lukin, M. D. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.090402 · Cited by 1,170
Dynamics of a Quantum Phase Transition
Zurek, W. H., Dorner, U., & Zoller, P. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.105701 · Cited by 808
Cited by
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
Self-citationQuench 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
Heyl, M. (2017) · Physical Review B · doi:10.1103/physrevb.95.060504 · Cited by 69
Criticality revealed through quench dynamics in the Lipkin–Meshkov–Glick model
Campbell, S. (2016) · Physical Review B · doi:10.1103/physrevb.94.184403 · Cited by 66
Metadata
- Authors
- Silva, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-09-16
- Volume
- 101
- Issue
- 12
- Pages
- 120603-120603
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2084800787
- Cited by
- 355
- References
- 25
- FWCI
- 6.96
- Type
- journal article
- Language
- en
- Open access
- green
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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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