dorsal/arxiv
View SchemaNon-Markovian Decay of a Three Level Cascade Atom in a Structured Reservoir
| Authors | B. J. Dalton, B. M. Garraway |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304178 |
| URL | https://arxiv.org/abs/quant-ph/0304178 |
| DOI | 10.1103/PhysRevA.68.033809 |
| Journal | Phys. Rev. A 68, 033809 (2003). |
Abstract
We present a formalism that enables the study of the non-Markovian dynamics of a three-level ladder system in a single structured reservoir. The three-level system is strongly coupled to a bath of reservoir modes and two quantum excitations of the reservoir are expected. We show that the dynamics only depends on reservoir structure functions, which are products of the mode density with the coupling constant squared. This result may enable pseudomode theory to treat multiple excitations of a structured reservoir. The treatment uses Laplace transforms and an elimination of variables to obtain a formal solution. This can be evaluated numerically (with the help of a numerical inverse Laplace transform) and an example is given. We also compare this result with the case where the two transitions are coupled to two separate structured reservoirs (where the example case is also analytically solvable).
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"abstract": "We present a formalism that enables the study of the non-Markovian dynamics\nof a three-level ladder system in a single structured reservoir. The\nthree-level system is strongly coupled to a bath of reservoir modes and two\nquantum excitations of the reservoir are expected. We show that the dynamics\nonly depends on reservoir structure functions, which are products of the mode\ndensity with the coupling constant squared. This result may enable pseudomode\ntheory to treat multiple excitations of a structured reservoir. The treatment\nuses Laplace transforms and an elimination of variables to obtain a formal\nsolution. This can be evaluated numerically (with the help of a numerical\ninverse Laplace transform) and an example is given. We also compare this result\nwith the case where the two transitions are coupled to two separate structured\nreservoirs (where the example case is also analytically solvable).",
"arxiv_id": "quant-ph/0304178",
"authors": [
"B. J. Dalton",
"B. M. Garraway"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.033809",
"journal_ref": "Phys. Rev. A 68, 033809 (2003).",
"title": "Non-Markovian Decay of a Three Level Cascade Atom in a Structured Reservoir",
"url": "https://arxiv.org/abs/quant-ph/0304178"
},
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