Large-N limit of spontaneous superradiance

Abstract

We investigate the thermodynamic limit of Dicke superradiance. We find an expression for the system's density matrix that we can prove is exact in the limit of large atom numbers N. This is in contrast to previously known solutions whose accuracy has only been established numerically and that are valid only for a range of times. We also introduce an asymptotically exact solution when the system is subject to additional incoherent decay of excitations as this is a common occurrence in experiment.

5+10 pages, comments welcome

References in corpus (12)

• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Single-Photon Switching and Entanglement of Solid-State Qubits in an Integrated Nanophotonic System
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• Demonstration of a memory for tightly guided light in an optical nanofiber
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• Suppressing and restoring the Dicke superradiance transition by dephasing and decay
• Collective generation of quantum states of light by entangled atoms
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• Collective radiative dynamics of an ensemble of cold atoms coupled to an optical waveguide
• Dicke phase transition without total spin conservation
• Observation of coherent coupling between super- and subradiant states of an ensemble of cold atoms collectively coupled to a single propagating optical mode

Cited by in corpus (12)

• Many-body superradiance and dynamical mirror symmetry breaking in waveguide QED
• Characterizing superradiant dynamics in atomic arrays via a cumulant expansion approach
• Dicke superradiance requires interactions beyond nearest-neighbors
• Determining the validity of cumulant expansions for central spin models
• Unraveling superradiance: Entanglement and mutual information in collective decay
• Unraveling Dicke Superradiant Decay with Separable Coherent Spin States
• Effects of retardation on many-body superradiance in chiral waveguide QED
• Superradiant phase transition in a large interacting driven atomic ensemble in free space
• Solving Dicke superradiance analytically: A compendium of methods
• Stability of macroscopic spin ensembles against inhomogeneous dephasing
• An exact analytical solution for Dicke superradiance
• Ground-state selection via many-body superradiant decay