Quantum Chaos in the Heisenberg Spin Chain: the Effect of Dzyaloshinskii-Moriya Interaction

Abstract

Using one-dimensional spin-1/2 systems as prototypes of quantum many-body systems, we study the emergence of quantum chaos. The main purpose of this work is to answer the following question: how does the spin-orbit interaction, as a pure quantum interaction, may lead to the onset of quantum chaos? We consider three integrable spin-1/2 systems: the Ising, the XX, and the XXZ limits, and analyze whether quantum chaos develops or not after the addition of the Dzyaloshinskii-Moriya interaction. We find that, depending on the strength of the anisotropy parameter, the answer is positive for the XXZ and Ising models, while no such evidence is observed for the XX model. We also discuss the relationship between quantum chaos and thermalization.

7 pages, 4 figures

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• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Many body localization in Heisenberg XXZ magnet in a random field
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Breakdown of thermalization in finite one-dimensional systems
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Cited by in corpus (4)

• Tunable-spin-model generation with spin-orbit-coupled fermions in optical lattices
• Excited-Eigenstate Entanglement Properties of XX Spin Chains with Random Long-Range Interactions
• Signatures of spectral crossovers in the short- and long-range spectral correlations of a disordered spin-chain with Kramers degeneracy
• Asymmetric Transport in Long-Range Interacting Chiral Spin Chains