PT symmetry and the evolution speed in 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.

References in corpus (7)

• The physics of exceptional points
• Visualization of Branch Points in PT-Symmetric Waveguides
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
• Quantum master equation with balanced gain and loss
• Speed limits in Liouville space for open quantum systems
• Bose-Einstein condensates with balanced gain and loss beyond mean-field theory