Emergence of PT-symmetry breaking in open quantum systems
- URL: http://arxiv.org/abs/2003.02265v2
- Date: Wed, 27 May 2020 18:36:45 GMT
- Title: Emergence of PT-symmetry breaking in open quantum systems
- Authors: Julian Huber, Peter Kirton, Stefan Rotter, Peter Rabl
- Abstract summary: We generalize the definition of PT symmetry to finite-dimensional open quantum systems.
We identify and accurately describe PT-symmetry breaking effects in a large variety of physical systems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The effect of PT-symmetry breaking in coupled systems with balanced gain and
loss has recently attracted considerable attention and has been demonstrated in
various photonic, electrical and mechanical systems in the classical regime.
Here we generalize the definition of PT symmetry to finite-dimensional open
quantum systems, which are described by a Markovian master equation.
Specifically, we show that the invariance of this master equation under a
certain symmetry transformation implies the existence of stationary states with
preserved and broken parity symmetry. As the dimension of the Hilbert space
grows, the transition between these two limiting phases becomes increasingly
sharp and the classically expected PT-symmetry breaking transition is
recovered. This quantum-to-classical correspondence allows us to establish a
common theoretical framework to identify and accurately describe PT-symmetry
breaking effects in a large variety of physical systems, operated both in the
classical and quantum regimes.
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