2014年
Exact quantum dynamics of yrast states in the finite 1D Bose gas
22ND INTERNATIONAL LASER PHYSICS WORKSHOP (LPHYS'13)
- ,
- ,
- 巻
- 497
- 号
- 1
- 記述言語
- 英語
- 掲載種別
- 研究論文(国際会議プロシーディングス)
- DOI
- 10.1088/1742-6596/497/1/012030
- 出版者・発行元
- IOP PUBLISHING LTD
We demonstrate that the quantum dynamics of yrast states in the one-dimensional (1D) Bose gas gives an illustrative example to equilibration of an isolated quantum many-body system. We first formulate the energy spectrum of yrast states in terms of the dressed energy by applying the method of finite-size corrections. We then review the exact time evolution of quantum states constructed from yrast states shown by the Bethe ansatz. In time evolution the density profile of an initially localized quantum state constructed from yrast states collapses into a flat profile in the case of a large particle number such as N = 1000, while recurrence of the localized state occurs in the case of a small particle number such as N = 20. We suggest that the dynamical relaxation behavior for the large N case is consistent with the viewpoint of typicality for generic quantum states: the expectation values of local operators evaluated in most of quantum states are very close to those of the micro-canonical ensemble.
- リンク情報
- ID情報
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- DOI : 10.1088/1742-6596/497/1/012030
- ISSN : 1742-6588
- Web of Science ID : WOS:000336253700030