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arXiv · 2212.13173

Psedo-hermitian Hamiltonians at finite temperature

Romina Ramírez·Marta Reboiro
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Abstract

The Double Green Function Formalism has been extensively used in dealing with the thermodynamics of quantum systems which evolved in time under the action of a given self-adjoint Hamiltonian. In this work, we extend the formalism to include pseudo-hermitian Hamiltonians. We apply the formalism to study the PT-symmetry Swanson Hamiltonian at finite temperature, both in the PT-unbroken and in the PT-broken symmetry phase. We analyse the behaviour of the system, which is initially at equilibrium at a given temperature, when it is perturbed by a periodic interaction.

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Romina Ramírez, Marta Reboiro. 2022-12-26. Psedo-hermitian Hamiltonians at finite temperature. https://arxiv.org/abs/2212.13173

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