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Loss of ergodicity in a quantum hopping model of a dense many body system with repulsive interactions

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  • Matsuyama, Kazue

Abstract

In this work we report on a loss of ergodicity in a simple hopping model, motivated by the Hubbard Hamiltonian, of a many body quantum system at zero temperature, quantized in Euclidean time. We show that this quantum system may lose ergodicity at high densities on a large lattice, as a result of both Pauli exclusion and strong Coulomb repulsion. In particular we study particle hopping susceptibilities and the tendency towards particle localization. It is found that the appearance and existence of quantum phase transitions in this model, in the case of high density and strong Coulomb repulsion, depends on the starting configuration of particle trajectories in the numerical simulation. We argue that this breakdown may be the Euclidean time version of a breakdown of the eigenstate thermalization hypothesis in real time quantization.

Suggested Citation

  • Matsuyama, Kazue, 2021. "Loss of ergodicity in a quantum hopping model of a dense many body system with repulsive interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    • Handle: RePEc:eee:phsmap:v:584:y:2021:i:c:s0378437121006191
    DOI: 10.1016/j.physa.2021.126346
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    References listed on IDEAS

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    1. Marcos Rigol & Vanja Dunjko & Maxim Olshanii, 2008. "Thermalization and its mechanism for generic isolated quantum systems," Nature, Nature, vol. 452(7189), pages 854-858, April.
    2. Garrahan, Juan P., 2018. "Aspects of non-equilibrium in classical and quantum systems: Slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 504(C), pages 130-154.
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