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Nonthermal States Arising from Confinement in One and Two Dimensions

James, Andrew J. A.; Konik, Robert M. and Robinson, Neil J. (2019). Nonthermal States Arising from Confinement in One and Two Dimensions. Physical Review Letters, 122(13), article no. 130603.

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We show that confinement in the quantum Ising model leads to nonthermal eigenstates, in both continuum and lattice theories, in both one (1D) and two dimensions (2D). In the ordered phase, the presence of a confining longitudinal field leads to a profound restructuring of the excitation spectrum, with the low-energy two-particle continuum being replaced by discrete “meson” modes (linearly confined pairs of domain walls). These modes exist far into the spectrum and are atypical, in the sense that expectation values in the state with energy E do not agree with the microcanonical (thermal) ensemble prediction. Single meson states persist above the two-meson threshold due to a surprising lack of hybridization with the (n ≥ 4)-domain wall continuum, a result that survives into the thermodynamic limit and that can be understood from analytical calculations. The presence of such states is revealed in anomalous postquench dynamics, such as the lack of a light cone, the suppression of the growth of entanglement entropy, and the absence of thermalization for some initial states. The nonthermal states are confined to the ordered phase—the disordered (paramagnetic) phase exhibits typical thermalization patterns in both 1D and 2D in the absence of integrability.

Item Type: Journal Item
Copyright Holders: 2019 American Physical Society
ISSN: 1079-7114
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetEP/L010623/1EPSRC (Engineering and Physical Sciences Research Council)
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Research Group: Physics
Item ID: 60394
Depositing User: Andrew James
Date Deposited: 09 Apr 2019 11:12
Last Modified: 18 Apr 2019 14:00
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