Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz

• Verfasst von: Zill, Jan C. [VerfasserIn]
• Verfasst von: Gasenzer, Thomas [VerfasserIn]
• Titel: Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
• Verf.angabe: J.C. Zill, T.M. Wright, K.V. Kheruntsyan, T. Gasenzer, M.J. Davis
• E-Jahr: 2017
• Jahr: 17 Nov 2017
• Umfang: 87 S.
• Fussnoten: Gesehen am 10.12.2020
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2017
• Band/Heft Quelle: (2017) Artikel-Nummer 1705.09168, 38 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Condensed Matter - Quantum Gases
• Sach-SW: Mathematical Physics
• K10plus-PPN: 1571000623

Abstract

We use the coordinate Bethe ansatz to study the Lieb-Liniger model of a one-dimensional gas of bosons on a finite-sized ring interacting via an attractive delta-function potential. We calculate zero-temperature correlation functions for seven particles in the vicinity of the crossover to a localized solitonic state and study the dynamics of a system of four particles quenched to attractive interactions from the ideal-gas ground state. We determine the time evolution of correlation functions, as well as their temporal averages, and discuss the role of bound states in shaping the postquench correlations and relaxation dynamics.