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.
arXiv comment4 pages, 2 figures
References in corpus (25)
- Quantum Spin Hall Effect in Graphene
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Topological Order and the Quantum Spin Hall Effect
- Making Sense of Non-Hermitian Hamiltonians
- Random-Matrix Theory of Quantum Transport
- Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Localization transitions in non-Hermitian quantum mechanics
- Coherent Perfect Absorbers: Time-reversed Lasers
- PT-symmetry breaking and laser-absorber modes in optical scattering systems
- PT-symmetric laser-absorber
- Riemannian symmetric superspaces and their origin in random matrix theory
- Must a Hamiltonian be Hermitian?
- Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
- Optical realization of relativistic non-Hermitian quantum mechanics
- Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
- Non-Hermitean Random Matrix Theory: method of hermitization
- Quantum noise and self-sustained radiation of PT-symmetric systems
- PT symmetric square well
- PT-Symmetric Wave Chaos
- Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
- Induced superconductivity distinguishes chaotic from integrable billiards
- Conceptual Problems in Scattering from Localized non-Hermitian Potentials
- Interface between Hermitian and non-Hermitian Hamiltonians in a model calculation
- Effect of the coupling to a superconductor on the level statistics of a metal grain in a magnetic field
- Random cyclic matrices
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- Non-Hermitian Physics
- PT symmetry and spontaneous symmetry breaking in a microwave billiard
- PT-symmetric quantum Liouvillian dynamics
- Quantum noise and mode nonorthogonality in nonhermitian PT-symmetric optical resonators
- Degrees and signatures of broken PT-symmetry in (non-uniform) lattices
- Transfer matrix study of the Anderson transition in non-Hermitian systems
- From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
- Gain/loss induced localization in one-dimensional PT-symmetric tight-binding models
- Nonlinear localized modes in PT-symmetric optical media with competing gain and loss
- Scattering Experiments with Microwave Billiards at an Exceptional Point under Broken Time Reversal Invariance
- Generic examples of PT-symmetric qubit (spin 1/2) Liouvillians
- Dynamical stabilization and time in open quantum systems
- Random-matrix theory of amplifying and absorbing resonators with PT or PTT' symmetry
- N-site-lattice analogues of
- Non-hermitian model for resonant cavities coupled by a chiral mirror
- Coulomb potential and the paradoxes of PT-symmetrization