Superradiance in finite quantum systems randomly coupled to continuum
arXiv:1907.11576 · doi:10.1103/PhysRevE.100.042119
Abstract
We study the effect of superradiance in open quantum systems, i.e., the separation of short- and long-living eigenstates when a certain subspace of states in the Hilbert space acquires an increasing decay width. We use several Hamiltonian forms of the initial closed system and generate their coupling to continuum by means of the random matrix theory. We average the results over a large number of statistical realizations of an effective non-Hermitian Hamiltonian and relate robust features of the superradiance process to the distribution of its exceptional points. We show that the superradiance effect is enhanced if the initial system is at the point of quantum criticality.
arXiv comment12 pages, 11 figures
References in corpus (14)
- The physics of exceptional points
- A review of progress in the physics of open quantum systems: theory and experiment
- Super-Radiant Dynamics, Doorways, and Resonances in Nuclei and Other Open Mesoscopic Systems
- Collectivity, Phase Transitions and Exceptional Points in Open Quantum Systems
- Coulomb analogy for nonhermitian degeneracies near quantum phase transitions
- Phase transitions in open quantum systems
- Resonances in open quantum systems
- Open quantum systems and Dicke superradiance
- Distribution of Resonance Widths and Dynamics of Continuum Coupling
- Excited-state quantum phase transitions in systems with two degrees of freedom: III. Interacting boson systems
- Non-Hermitian Hamiltonian approach to the microwave transmission through one- dimensional qubit chain
- Excited State Quantum Phase Transitions Studied from a Non-Hermitian Perspective
- Gain and loss in open quantum systems
- Exceptional points near first- and second-order quantum phase transitions