Nonthermal States Arising from Confinement in One and Two Dimensions
Abstract
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. In conclusion, 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.
- Authors:
-
[2];
- Univ. College London, London (United Kingdom); The Open Univ., Milton Keynes (United Kingdom)
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Univ. of Amsterdam, Amsterdam (Netherlands)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1529073
- Alternate Identifier(s):
- OSTI ID: 1505249
- Report Number(s):
- BNL-211780-2019-JAAM
Journal ID: ISSN 0031-9007; PRLTAO
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 122; Journal Issue: 13; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
James, Andrew J. A., Konik, Robert M., and Robinson, Neil J. Nonthermal States Arising from Confinement in One and Two Dimensions. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.122.130603.
James, Andrew J. A., Konik, Robert M., & Robinson, Neil J. Nonthermal States Arising from Confinement in One and Two Dimensions. United States. https://doi.org/10.1103/PhysRevLett.122.130603
James, Andrew J. A., Konik, Robert M., and Robinson, Neil J. Fri .
"Nonthermal States Arising from Confinement in One and Two Dimensions". United States. https://doi.org/10.1103/PhysRevLett.122.130603. https://www.osti.gov/servlets/purl/1529073.
@article{osti_1529073,
title = {Nonthermal States Arising from Confinement in One and Two Dimensions},
author = {James, Andrew J. A. and Konik, Robert M. and Robinson, Neil J.},
abstractNote = {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. In conclusion, 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.},
doi = {10.1103/PhysRevLett.122.130603},
journal = {Physical Review Letters},
number = 13,
volume = 122,
place = {United States},
year = {Fri Apr 05 00:00:00 EDT 2019},
month = {Fri Apr 05 00:00:00 EDT 2019}
}
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Quantum Critical Dynamics of a Heisenberg-Ising Chain in a Longitudinal Field: Many-Body Strings versus Fractional Excitations
text, January 2019
- Wang, Zhe; Schmidt, M.; Loidl, A.
- arXiv
Quantum information scrambling after a quantum quench
text, January 2019
- Alba, Vincenzo; Calabrese, Pasquale
- arXiv
Slow quantum thermalization and many-body revivals from mixed phase space
text, January 2019
- Michailidis, A. A.; Turner, C. J.; Papić, Z.
- arXiv