Dynamics of the inhomogeneous Dicke model

Abstract

We study the time dynamics of a single boson coupled to a bath of two-level systems (spins 1/2) with different excitation energies, described by an inhomogeneous Dicke model. Analyzing the time-dependent Schrodinger equation exactly we find that at resonance the boson decays in time to an oscillatory state with a finite amplitude characterized by a single Rabi frequency if the inhomogeneity is below a certain threshold. In the limit of small inhomogeneity, the decay is suppressed and exhibits a complex (mainly Gaussian-like) behavior, whereas the decay is complete and of exponential form in the opposite limit. For intermediate inhomogeneity, the boson decay is partial and governed by a combination of exponential and power laws.

6 pages, 1 figure

References in corpus (6)

• Quantum nature of a strongly-coupled single quantum dot-cavity system
• Observation of Strong Coupling between One Atom and a Monolithic Microresonator
• Cavity QED with a Bose-Einstein condensate
• Spin dynamics in InAs-nanowire quantum-dots coupled to a transmission line
• Ultra-long distance interaction between spin qubits
• Effective Quantum Dynamics of Interacting Systems with Inhomogeneous Coupling

Cited by in corpus (23)

• Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
• Extended Dicke quantum battery with interatomic interactions and driving field
• Gaudin models solver based on the Bethe ansatz/ordinary differential equations correspondence
• Bethe Ansatz and Ordinary Differential Equation Correspondence for Degenerate Gaudin Models
• On the determinant representations of Gaudin models' scalar products and form factors
• Thermodynamics from indistinguishability: mitigating and amplifying the effects of the bath
• Non-equilibrum dynamics in the strongly excited inhomogeneous Dicke model
• Magnetic Properties and Thermal Entanglement on a Triangulated Kagome Lattice
• The classical and quantum dynamics of the inhomogeneous Dicke model and its Ehrenfest time
• Collective quantum coherent oscillations in a globally coupled array of qubits
• Poor man's derivation of the Bethe-Ansatz equations for the Dicke model
• Thermodynamics and Superradiant Phase Transitions in a three-level Dicke Model
• Dynamics of the collective modes of an inhomogeneous spin ensemble in a cavity
• Extended JC-Dicke model for a two-component atomic BEC inside a cavity
• Determinant representations of spin-operator matrix elements in the XX spin chain and their applications
• Cooperative Light Emission in the Presence of Strong Inhomogeneous Broadening
• Dynamics of mesoscopic qubit ensemble coupled to cavity: role of collective dark states
• Field-dependent superradiant quantum phase transition of molecular magnets in microwave cavities
• Dicke model: entanglement as a finite size effect
• Universality class and exact phase boundary in the superradiant phase transition
• Dynamically generated darkness in the Dicke model
• Theory of dynamical superradiance in organic materials
• Comparison of the semiclassical and quantum optical field dynamics in a pulse-excited optical cavity with a finite number of quantum emitters