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

Abstract

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.

8 pages, 7 figures

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Cited by in corpus (5)

• Dynamical structure factors of dynamical quantum simulators
• Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
• Spontaneous Symmetry Breaking, Spectral Statistics, and the Ramp
• A polynomial time algorithm for studying physical observables in chaotic eigenstates
• Does a Single Eigenstate of a Hamiltonian Encode the Critical Behaviour of its Finite-Temperature Phase Transition?