Exotic entanglement for non-Hermitian Jaynes–Cummings Hamiltonians

Abstract

We provide the first solution of a time-dependent metric operator for the non-Hermitian Jaynes–Cummings Hamiltonian. We use this solution to calculate the entanglement between two identical isolated such Hamiltonians. The presence of a non-Hermitian interaction term leads to a spontaneously broken -symmetric regime which manifests itself in the exotic time-evolution of entanglement. When the symmetry is broken, oscillatory modes transition into decay. As such, there is a drastic difference in behaviour between the broken and unbroken regimes.