Entanglement prethermalization in the Tomonaga-Luttinger model

Eriko Kaminishi, Takashi Mori, Tatsuhiko N. Ikeda, and Masahito Ueda
Phys. Rev. A 97, 013622 – Published 17 January 2018

Abstract

Prethermalization refers to the relaxation to a quasistationary state before reaching thermal equilibrium. Recently, it was found that not only local conserved quantities but also entanglement plays a key role in a special type of prethermalization, which we refer to as entanglement prethermalization. Here, we show that in the Tomonaga-Luttinger model entanglement prethermalization can also be explained by the conventional prethermalization of two independent subsystems without entanglement. Moreover, it is argued that prethermalization in the Tomonaga-Luttinger model is essentially different from entanglement prethermalization in the Lieb-Liniger model because of the different types of energy degeneracies.

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  • Received 8 August 2017

DOI:https://doi.org/10.1103/PhysRevA.97.013622

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalStatistical Physics & Thermodynamics

Authors & Affiliations

Eriko Kaminishi1, Takashi Mori1, Tatsuhiko N. Ikeda2, and Masahito Ueda1,3

  • 1Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
  • 2Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
  • 3RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan

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Issue

Vol. 97, Iss. 1 — January 2018

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