Exploring quantum dynamics in an open many-body system: Transition to superradiance

Abstract

We study the dynamics of a complex open quantum many-body system. The coupling to external degrees of freedom can be viewed as a coupling to a radiation field, to continuum states or to a measuring apparatus. This perturbation is treated in terms of an effective non-Hermitian Hamiltonian. The influence of such coupling on the properties of the many-body dynamics is discussed, with emphasis on new effects related to dynamical segregation of fast and slow decays and the phase transition to Dicke superradiance. Relations to quantum optics, continuum shell model, theory of measurement, quantum chaos, percolation theory, and to quantum reactions are stressed.

15 pages, 7 figures

References in corpus (7)

• Quantum Zeno subspaces
• Observation of the Quantum Zeno and Anti-Zeno effects in an unstable system
• Universal dynamical control of quantum mechanical decay: Modulation of the coupling to the continuum
• Observation of resonance trapping in an open microwave cavity
• Effective non-Hermitian Hamiltonian and continuum shell model
• Invariant Correlation Entropy and Complexity of Quantum States
• Coherent and chaotic properties of nuclear pairing

Cited by in corpus (7)

• Continuum Shell Model
• Extreme alpha-clustering in the 18O nucleus
• Absence of decoherence in the complex potential approach to nuclear scattering
• "Super-radiance" and the width of exotic baryons
• Quantum signal transmission through a single-qubit chain
• Perspectives on few-body cluster structures in exotic nuclei
• Influence of Impurity on the Rate of Single Photon Superradiance in Disordered N Qubit Chain