Open quantum systems with loss and gain
arXiv:1409.2670 · doi:10.1007/s10773-014-2375-3
Abstract
We consider different properties of small open quantum systems coupled to an environment and described by a non-Hermitian Hamilton operator. Of special interest is the non-analytical behavior of the eigenvalues in the vicinity of singular points, the so-called exceptional points (EPs), at which the eigenvalues of two states coalesce and the corresponding eigenfunctions are linearly dependent from one another. The phases of the eigenfunctions are not rigid in approaching an EP and providing therewith the possibility to put information from the environment into the system. All characteristic properties of non-Hermitian quantum systems hold true not only for natural open quantum systems that suffer loss due to their embedding into the continuum of scattering wavefunctions. They appear also in systems coupled to different layers some of which provide gain to the system. Thereby gain and loss, respectively, may be fixed inside every layer, i.e. characteristic of it.
Correction of a few misprints; addition of a few new references; paper will appear in a Special Issue of International Journal of Theoretical Physics related to several conferences on PHHQP in 2014; accepted 10 October 2014; available: DOI 10.1007/s10773-014-2375-3
References in corpus (14)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Experimental Study of Active LRC Circuits with PT-Symmetries
- Physical realization of -symmetric potential scattering in a planar slab waveguide
- Conductance of Open Quantum Billiards and Classical Trajectories
- Open quantum systems and Dicke superradiance
- Fano resonances in the overlapping regime
- Interfering resonances in a quantum billiard
- Whispering gallery modes in open quantum billiards
- Spectroscopic studies in open quantum systems
- Width bifurcation and dynamical phase transitions in open quantum systems
- Effective Hamiltonian and unitarity of the S matrix
- Dynamical stabilization and time in open quantum systems
Cited by in corpus (8)
- A review of progress in the physics of open quantum systems: theory and experiment
- Nearby states in non-Hermitian quantum systems
- Topology and Observables of the Non-Hermitian Chern Insulator
- Quantum Zeno effect and nonclassicality in a PT symmetric system of coupled cavities
- Exceptional point in a coupled Swanson system
- All-optical photonic band control in a quantum metamaterial
- Artificial Hawking radiation, weak pseudo-Hermiticity and Weyl semimetal blackhole analogy
- A weak pseudo-Hermitian two band model, artificial Hawking radiation and tunneling