One-half of the Kibble–Zurek quench followed by free evolution. (31st July 2018)

• Record Type: Journal Article
• Authors: Białończyk, Michał; Damski, Bogdan
• Is Part Of: Journal of statistical mechanics. (2018:Jul.)
• Publication Date: 2018-07-31
• Subjects: 2; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aad3f2
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We drive the one-dimensional quantum Ising chain in the transverse field from the paramagnetic phase to the critical point and study its free evolution there. We analyze excitation of such a system at the critical point and dynamics of its transverse magnetization and Loschmidt echo during free evolution. We discuss how the system size and quench-induced scaling relations from the Kibble–Zurek theory of non-equilibrium phase transitions are encoded in quasi-periodic time evolution of the transverse magnetization and Loschmidt echo.