Quantum Chaos, Thermalization, and Non-locality

Kavli Affiliate: Masahiro Nozaki

| First 5 Authors: Masataka Matsumoto, Masataka Matsumoto, , ,

| Summary:

In this paper, we numerically investigate whether quantum thermalization
occurs during the time evolution induced by a non-local Hamiltonian whose
spectra exhibit integrability. This non-local and integrable Hamiltonian is
constructed by combining two types of integrable Hamiltonians. From the time
dependence of entanglement entropy and mutual information, we find that
non-locality can evolve the system into the typical state. On the other hand,
the time dependence of logarithmic negativity shows that the non-locality can
destroy the quantum correlation. These findings suggest that the quantum
thermalization induced by the non-local Hamiltonian does not require the
quantum chaoticity of the system.

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