Exotic entanglement for non-Hermitian Jaynes-Cummings Hamiltonians

• URL: http://arxiv.org/abs/2006.09909v2
• Date: Wed, 24 Jun 2020 16:23:42 GMT
• Title: Exotic entanglement for non-Hermitian Jaynes-Cummings Hamiltonians
• Authors: Thomas Frith
• Abstract summary: We calculate the entanglement between two identical isolated Hamiltonians. The presence of a non-Hermitian interaction term leads to a spontaneously broken $mathcalPT$-symmetric regime.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $\mathcal{PT}$-symmetric regime which manifests itself in the exotic time-evolution of entanglement. When the symmetry is broken, oscillatory modes transition into decay. As such that there is a drastic difference in behaviour between the broken and unbroken regimes.

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