Master equation for dissipative interacting qubits in a common environment

Abstract

In this paper, we derive a microscopic master equation for a pair of XY-coupled two-level systems interacting with the same memoryless reservoir. In particular, we apply this master equation to the case of a pair of two-level atoms in free space where we can clearly contrast the predictions made with the microscopic master equation obtained here and the phenomenological approaches where the atom-atom coupling is included just \textit{a posteriori}, i.e, not taking into account in the derivation of the open system equation of motion. We show, for instance, that the phenomenological approach fails completely in the assessment of the role played by the symmetric and antisymmetric decay channels. As a consequence, the predictions related to collective effects such as superradiance, for instance, are misleading in the phenomenological approach. We also obtain the fluorescence spectrum using the microscopic model developed here.

11 pages, 7 figures

References in corpus (8)

• Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
• Dephasing assisted transport: Quantum networks and biomolecules
• Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
• Non-Markovian entanglement dynamics of noisy continuous variable quantum channels
• Microscopic derivation of the Jaynes-Cummings model with cavity losses
• First-order super-radiant phase transitions in a multi-qubit--cavity system
• Coherent control of an effective two-level system in a non-Markovian biomolecular environment
• Decoherence of floating qubits due to capacitive coupling

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