Master equation for collective spontaneous emission with quantized atomic motion

Abstract

We derive a markovian master equation for the internal dynamics of an ensemble of two-level atoms including all effects related to the quantization of their motion. Our equation provides a unifying picture of the consequences of recoil and indistinguishability of atoms beyond the Lamb-Dicke regime on both their dissipative and conservative dynamics, and applies equally well to distinguishable and indistinguishable atoms. We give general expressions for the decay rates and the dipole-dipole shifts for any motional states, and we find closed-form formulas for a number of relevant states (Gaussian states, Fock states and thermal states). In particular, we show that dipole-dipole interactions and cooperative photon emission can be modulated through the external state of motion.

16 pages, 7 figures, minor corrections

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• Superbunching and Nonclassicality as new Hallmarks of Superradiance
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• Proposal for teleportation of charge qubits via superradiance
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Cited by in corpus (14)

• Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
• Light scattering from dense cold atomic media
• Super- and subradiance by entangled free particles
• Cooperative spontaneous emission from indistinguishable atoms in arbitrary motional quantum states
• Synchronization dynamics in a designed open system
• Determining the validity of cumulant expansions for central spin models
• Competition between finite-size effects and dipole-dipole interactions in few-atom systems
• Photon induced atom recoil in collectively interacting planar arrays
• Modified dipole-dipole interactions in the presence of a nanophotonic waveguide
• Decoherence by spontaneous emission: a single-atom analog of superradiance
• Disentangling Pauli blocking of atomic decay from cooperative radiation and atomic motion in a 2D Fermi gas
• Generating nonclassical states of motion using spontaneous emission
• Hybrid sub- and superradiant states in emitter arrays with quantized motion
• Exact solvability and two-frequency Rabi oscillation in cavity-QED setup with moving emitter