Recurrence times of the Lieb-Liniger model in the weak and strong coupling regimes

Autor:	Kaminishi, Eriko, Mori, Takashi
Rok vydání:	2018
Předmět:	Condensed Matter - Quantum Gases Condensed Matter - Statistical Mechanics
Zdroj:	Phys. Rev. A 100, 013606 (2019)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevA.100.013606
Popis:	Quantum systems exhibit recurrence phenomena after equilibration, but it is a difficult task to evaluate the recurrence time of a quantum system because it drastically increases as the system size increases (usually double-exponential in the number of particles) and strongly depends on the initial state. Here, we analytically derive the recurrence times of the Lieb-Liniger model with relatively small particle numbers for the weak and strong coupling regimes. It turns out that these recurrence times are independent of the initial state and increases only polynomially in the system size. Comment: 8 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1811.11995 Zobrazit plný text záznamu View this record from Arxiv