Description of the non-Markovian dynamics of atoms in terms of a pure state

Abstract

The quantum master equation (QME), used to describe the Markov process of interaction between atoms and field, has a number of significant drawbacks. It is extremely memory intensive, and also inapplicable to the case of long-term memory in the environment. An iterative algorithm for modeling the dynamics of an atomic system in the extended Tavis-Cummings model in terms of a pure state is proposed. The correctness of this algorithm is shown on the example of the interaction of an atomic system with the environment through the exchange of photons with the preservation of coherence. This algorithm is applicable to a wide class of processes associated with photonic machinery, in particular, to chemical reactions.

13 pages, 5 figures, 1 table

References in corpus (4)

• Theory of Nanoscale Organic Cavities: The Essential Role of Vibration-Photon Dressed States
• Environment-assisted quantum control of a solid-state spin via coherent dark states
• Spin entangled two-particle dark state in quantum transport through coupled quantum dots
• Dark-state and loss-induced phenomena in the quantum-optical regime of $\Lambda$-type three-level systems

Cited by in corpus (1)

• Simulating and investigating various dynamic aspects of the ${\mathrm{H}}_2\mathrm{O}$-related hydrogen bond model