English

Time-Loop Formalism for Irreversible Quantum Problems: Steady State Transport in Junctions with Asymmetric Dynamics

Mesoscale and Nanoscale Physics 2011-05-12 v1 High Energy Physics - Theory Atomic Physics Quantum Physics

Abstract

Non-unitary quantum mechanics has been used in the past to study irreversibility, dissipation and decay in a variety of physical systems. In this letter, we propose 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 physics --an asymmetric junction. The system is governed by a non-Hermitian Hamiltonian which captures essential aspects of irreversibility.

Keywords

Cite

@article{arxiv.0710.0036,
  title  = {Time-Loop Formalism for Irreversible Quantum Problems: Steady State Transport in Junctions with Asymmetric Dynamics},
  author = {Paata Kakashvili and C. J. Bolech},
  journal= {arXiv preprint arXiv:0710.0036},
  year   = {2011}
}

Comments

4 pages, 4 figures

R2 v1 2026-06-21T09:23:51.895Z