Eigenstate thermalization and quantum chaos in the Jaynes–Cummings Hubbard model

Abstract

The eigenstate thermalization hypothesis (ETH) is a mechanism for the thermalization of quantum chaotic systems. Most researches on quantum chaotic systems involve the two-body interaction between spins, fermions, and bosons, but for the JCH model, the emergence of quantum-chaotic properties come from the competition between hopping strength of the photon and photon-atom coupling strength. We use exact diagonalization to prove that the JCH system has the property of quantum chaotic system and verify the validity of ETH ansatz both for diagonal and off-diagonal matrix elements of the photon observables with reasonable experimental parameters.