Schwinger-Keldysh action for open quantum systems with explicit non-Hermitian dynamics

Carlos J. Bolech

University of Cincinnati, Mc Micken School of Arts and Sciences, Department of Physics, Cincinnati, USA

Nonunitary quantum mechanics has been used in the past to study irreversibility, dissipation, and decay in a variety of physical systems. In this work, we employ a general scheme to deal with systems governed by non-Hermitian Hamiltonians. We argue that the Schwinger-Keldysh formalism gives a natural description for those problems. To elucidate the method, we study a simple model inspired by mesoscopic physicsan asymmetric junction. The system is governed by a Non-Hermitian Hamiltonian, which captures essential aspects of irreversibility.

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