PT symmetry and the evolution speed in open quantum systems
Dorje C. Brody
TL;DR
This paper reviews how PT symmetry concepts and symmetry-breaking phenomena manifest in open quantum systems described by Lindblad dynamics, focusing on the evolution speed of quantum states.
Contribution
It provides a review of PT symmetry development in quantum mechanics and characterizes PT-symmetry breaking in open systems through evolution speed behavior.
Findings
PT symmetry can be observed in Lindblad dynamics despite non-Hermitian Hamiltonians.
PT-symmetry breaking influences the speed of quantum state evolution.
Exceptional points play a key role in the dynamics of open quantum systems.
Abstract
The dynamics of an open quantum system with balanced gain and loss is not described by a PT-symmetric Hamiltonian but rather by Lindblad operators. Nevertheless the phenomenon of PT-symmetry breaking and the impact of exceptional points can be observed in the Lindbladean dynamics. Here we briefly review the development of PT symmetry in quantum mechanics, and the characterisation of PT-symmetry breaking in open quantum systems in terms of the behaviour of the speed of evolution of the state.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems · Quantum Mechanics and Applications