Noncommutative generalized Gibbs ensemble in isolated integrable quantum systems
| Autor: | Yuji Nozawa, Tatsuhiko N. Ikeda, Kouhei Fukai, Koji Kawahara |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Popis: | The generalized Gibbs ensemble (GGE), which involves multiple conserved quantities other than the Hamiltonian, has served as the statistical-mechanical description of the long-time behavior for several isolated integrable quantum systems. The GGE may involve a noncommutative set of conserved quantities in view of the maximum entropy principle, and show that the GGE thus generalized (noncommutative GGE, NCGGE) gives a more qualitatively accurate description of the long-time behaviors than that of the conventional GGE. Providing a clear understanding of why the (NC)GGE well describes the long-time behaviors, we construct, for noninteracting models, the exact NCGGE that describes the long-time behaviors without an error even at finite system size. It is noteworthy that the NCGGE involves nonlocal conserved quantities, which can be necessary for describing long-time behaviors of local observables. We also give some extensions of the NCGGE and demonstrate how accurately they describe the long-time behaviors of few-body observables. 13 pages, 8 figures |
| Databáze: | OpenAIRE |
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