Eigenstate Thermalization and Spontaneous Symmetry Breaking in the One-Dimensional Transverse-Field Ising Model with Power-Law Interactions

Eigenstate Thermalization and Spontaneous Symmetry Breaking in the One-Dimensional Transverse-Field Ising Model with Power-Law Interactions

We study eigenstate thermalization and related signatures of quantum chaos in the one-dimensional ferromagnetic transverse-field Ising model with power-law interactions. The presence of long-range interactions allows for a finite-temperature phase transition despite the one-dimensional geometry of t...

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Veröffentlicht in:arXiv.org 2017-06
Hauptverfasser: Fratus, Keith R, Srednicki, Mark
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Sprache:eng
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Broken symmetry
Eigenvectors
Ferromagnetism
Flux density
Ising model
Phase transitions
Power law
Thermalization (energy absorption)
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Srednicki, Mark
description We study eigenstate thermalization and related signatures of quantum chaos in the one-dimensional ferromagnetic transverse-field Ising model with power-law interactions. The presence of long-range interactions allows for a finite-temperature phase transition despite the one-dimensional geometry of the model. Unlike previous studies of eigenstate thermalization in non-disordered systems with finite temperature phase transitions, our model possesses sufficiently many energy eigenstates below the critical energy density to allow us to make a definitive statement about the presence of eigenstate thermalization and chaotic level statistics in the broken-symmetry phase.
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subjects Broken symmetry
Eigenvectors
Ferromagnetism
Flux density
Ising model
Phase transitions
Power law
Thermalization (energy absorption)
title Eigenstate Thermalization and Spontaneous Symmetry Breaking in the One-Dimensional Transverse-Field Ising Model with Power-Law Interactions
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