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Non-Markovian decay of a three-level cascade atom in a structured reservoir

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posted on 2023-06-07, 23:04 authored by B J Dalton, Barry M. GarrawayBarry M. Garraway
The dynamics of a three-level atom in a cascade (or ladder) configuration with both transitions coupled to a single structured reservoir of quantized electromagnetic field modes is treated using Laplace transform methods applied to the coupled amplitude equations. In this system two-photon excitation of the reservoir occurs, and both sequences for emitting the two photons are allowed and included in the theory. An integral equation is found to govern the complex amplitudes of interest. It is shown that the dynamics of the atomic system is completely determined in terms of reservoir structure functions, which are products of the mode density with the coupling constant squared. This dependence on reservoir structure functions rather than on the mode density or coupling constants alone, shows that it may be possible to extend pseudomode theory to treat multiphoton excitation of a structured reservoirb

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review A

ISSN

1050-2947

Issue

3

Volume

68

Page range

033809

Department affiliated with

  • Physics and Astronomy Publications

Notes

This paper goes beyond standard treatments of decaying quantum systems and makes a careful study of the emission of successive photons into a strongly coupled and structured reservoir. There are fewer approximations and comparison is made with standard master equations.

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

First Open Access (FOA) Date

2013-07-05

First Compliant Deposit (FCD) Date

2013-07-05

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