PT-Symmetry Hamiltonians at Finite Temperature

ROMINA RAMIREZ; MARTA REBOIRO

Seminario; the virtual seminar series on Pseudo-Hermitian Hamiltonians in Quantum Physics; 2022

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-adjoined hamiltonian. In this work, we extend the formalism to include PT-symmetry hamiltonains. We apply the formalism to study the PT-symmetry Swanson Hamiltonian at finite temperature, both in the PT and in the non-PT symmetry phase. We analyze the behaviour of the system, which is initially at equilibrium, when it is perturbed by a periodic time dependent interaction.