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arXiv · 1304.5041

Quantum holonomy in Lieb-Liniger model

Nobuhiro Yonezawa·Atushi Tanaka·Taksu Cheon
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Abstract

We examine a parametric cycle in the N-body Lieb-Liniger model that starts from the free system and goes through Tonks-Girardeau and super-Tonks-Girardeau regimes and comes back to the free system. We show the existence of exotic quantum holonomy, whose detailed workings are analysed with the specific sample of two- and three body systems. The classification of eigenstates based on clustering structure naturally emerges from the analysis.

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Nobuhiro Yonezawa, Atushi Tanaka, Taksu Cheon. 2013-07-06. Quantum holonomy in Lieb-Liniger model. https://doi.org/10.1103/physreva.87.062113

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