Work

Quantum holonomy in the Lieb-Liniger model

Year: 2013

Type: article

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 analyzed with the specific sample of two- and three-body systems. The classification of eigenstates based on clustering structure naturally emerges from the analysis.

Source: Physical Review A

DOI: 10.1103/physreva.87.062113

Authors: Nobuhiro Yonezawa, Atushi Tanaka, Taksu Cheon

Institutions: Osaka City University, Tokyo Metropolitan University, Kochi University of Technology

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Mathematical physics of singular vertices in quantum graphs