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      Master equation for collective spontaneous emission with quantized atomic motion

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          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.

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          Author and article information

          Journal
          2015-12-21
          2015-12-24
          Article
          10.1103/PhysRevA.93.022124
          1512.06676
          e0c9094d-18d6-4010-8736-51dc11238741

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          Phys. Rev. A 93, 022124 (2016)
          16 pages, 7 figures, minor corrections
          quant-ph

          Quantum physics & Field theory
          Quantum physics & Field theory

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