Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems
arXiv:1011.1385 · doi:10.1103/PhysRevA.83.030101
Abstract
PT-symmetric systems can have a real spectrum even when their Hamiltonian is non-hermitian, but develop a complex spectrum when the degree of non-hermiticity increases. Here we utilize random-matrix theory to show that this spontaneous PT-symmetry breaking can occur via two distinct mechanisms, whose predominance is associated to different universality classes. Present optical experiments fall into the orthogonal class, where symmetry-induced level crossings render the characteristic absorption rate independent of the coupling strength between the symmetry-related parts of the system.
4 pages, 2 figures
References in corpus (9)
- Making Sense of Non-Hermitian Hamiltonians
- Coherent Perfect Absorbers: Time-reversed Lasers
- PT-symmetry breaking and laser-absorber modes in optical scattering systems
- Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
- Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
- PT-Symmetric Wave Chaos
- Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
- Interface between Hermitian and non-Hermitian Hamiltonians in a model calculation
- Random cyclic matrices
Cited by in corpus (5)
- PT-symmetric quantum Liouvillian dynamics
- Transfer matrix study of the Anderson transition in non-Hermitian systems
- From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
- Dynamical stabilization and time in open quantum systems
- Random-matrix theory of amplifying and absorbing resonators with PT or PTT' symmetry