Equilibrium states of generic quantum systems subject to periodic driving
When a closed quantum system is driven periodically with period T, it approaches a periodic state synchronized with the drive in which any local observable measured stroboscopically approaches a steady value. For integrable systems, the resulting behavior is captured by a periodic version of a gener...
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| Published in | Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 90; no. 1; p. 012110 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
11.07.2014
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| Subjects | |
| Online Access | Get more information |
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| Abstract | When a closed quantum system is driven periodically with period T, it approaches a periodic state synchronized with the drive in which any local observable measured stroboscopically approaches a steady value. For integrable systems, the resulting behavior is captured by a periodic version of a generalized Gibbs ensemble. By contrast, here we show that for generic nonintegrable interacting systems, local observables become independent of the initial state entirely. Essentially, this happens because Floquet eigenstates of the driven system at quasienergy ω(α) consist of a mixture of the exponentially many eigenstates of the undriven Hamiltonian, which are thus drawn from the entire extensive undriven spectrum. This is a form of equilibration which depends only on the Hilbert space of the undriven system and not on any details of its Hamiltonian. |
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| AbstractList | When a closed quantum system is driven periodically with period T, it approaches a periodic state synchronized with the drive in which any local observable measured stroboscopically approaches a steady value. For integrable systems, the resulting behavior is captured by a periodic version of a generalized Gibbs ensemble. By contrast, here we show that for generic nonintegrable interacting systems, local observables become independent of the initial state entirely. Essentially, this happens because Floquet eigenstates of the driven system at quasienergy ω(α) consist of a mixture of the exponentially many eigenstates of the undriven Hamiltonian, which are thus drawn from the entire extensive undriven spectrum. This is a form of equilibration which depends only on the Hilbert space of the undriven system and not on any details of its Hamiltonian. |
| Author | Lazarides, Achilleas Das, Arnab Moessner, Roderich |
| Author_xml | – sequence: 1 givenname: Achilleas surname: Lazarides fullname: Lazarides, Achilleas organization: Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany – sequence: 2 givenname: Arnab surname: Das fullname: Das, Arnab organization: Theoretical Physics Department, Indian Association for the Cultivation of Science, Kolkata 700032, India – sequence: 3 givenname: Roderich surname: Moessner fullname: Moessner, Roderich organization: Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/25122254$$D View this record in MEDLINE/PubMed |
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| Title | Equilibrium states of generic quantum systems subject to periodic driving |
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