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Classical and Quantum Properties of the Spin-Boson Dicke Model: Chaos, Localization, and Scarring
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This review article describes major developments associated with the Dicke model, from its introduction in the 1950s to explain the transition from a normal to a superradiant phase to its modern applications in quantum many-body physics. Over the decades, this interacting spin-boson model has played a central role in the study of collective light-matter interactions, chaos, and quantum phase transitions. We focus on properties and phenomena that are best understood when seen from both the classical and quantum perspectives, with particular emphasis on the emergence of chaos, localization, and scarring. While our primary emphasis is on the isolated model, we also discuss recent advances in the open Dicke model, where environmental couplings are needed for describing realistic experimental platforms and exploring new regimes of quantum dynamics.
Forward citations
Cited by 3 Pith papers
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Complexity transition in the Dicke model of light-matter interaction
Long-time-averaged Krylov complexity in the Dicke model drops smoothly, then rises sharply across a coupling threshold, revealing a regular-to-chaotic dynamical crossover with distinct N-scaling.
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Superradiant Phase is a Finite Size Effect in Two-photon Processes
The reported superradiant phase of the two-photon Dicke model shrinks as the system grows and vanishes in the thermodynamic limit, leaving spectral collapse as the only surviving collective phenomenon.
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Dissipative Phase Transition in the Two-Photon Dicke Model
Adding two-photon loss stabilizes the open two-photon Dicke model and creates a thermodynamic-limit superradiant phase that coexists with the normal phase, as predicted by a second-order cumulant expansion and support...
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