Nonthermal states arising from confinement in one and two dimensions
| Autor: | A. J. A. James, Neil J. Robinson, Robert Konik |
|---|---|
| Přispěvatelé: | IoP (FNWI), Quantum Condensed Matter Theory (ITFA, IoP, FNWI) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Meson Statistical Mechanics (cond-mat.stat-mech) General Physics and Astronomy FOS: Physical sciences Quantum entanglement 01 natural sciences Thermalisation Quantum mechanics Light cone 0103 physical sciences Thermodynamic limit Ising model 010306 general physics Quantum Excitation Condensed Matter - Statistical Mechanics |
| Zdroj: | Physical Review Letters Physical Review Letters, 122(13):130603. American Physical Society |
| ISSN: | 1079-7114 0031-9007 |
| Popis: | 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 ($n\geq4$)-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 post-quench 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. 15 pages (of which 11 are appendices). 8 figures |
| Databáze: | OpenAIRE |
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