Psedo-hermitian Hamiltonians at finite temperature

• URL: http://arxiv.org/abs/2212.13173v1
• Date: Mon, 26 Dec 2022 14:23:10 GMT
• Title: Psedo-hermitian Hamiltonians at finite temperature
• Authors: Romina Ram\'irez and Marta Reboiro
• Abstract summary: We extend the Double Green Function Formalism to include pseudo-hermitian Hamiltonians. We study the PT-symmetry Swanson Hamiltonian at finite temperature.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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