dorsal/arxiv
View SchemaNon-Markovian dynamics in pulsed and continuous wave atom lasers
| Authors | H. P. Breuer, D. Faller, B. Kappler, F. Petruccione |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9906119 |
| URL | https://arxiv.org/abs/quant-ph/9906119 |
| DOI | 10.1103/PhysRevA.60.3188 |
Abstract
The dynamics of atom lasers with a continuous output coupler based on two-photon Raman transitions is investigated. With the help of the time-convolutionless projection operator technique the quantum master equations for pulsed and continuous wave (cw) atom lasers are derived. In the case of the pulsed atom laser the power of the time-convolutionless projection operator technique is demonstrated through comparison with the exact solution. It is shown that in an intermediate coupling regime where the Born-Markov approximation fails the results of this algorithm agree with the exact solution. To study the dynamics of a continuous wave atom laser a pump mechanism is included in the model. Whereas the pump mechanism is treated within the Born-Markov approximation, the output coupling leads to non-Markovian effects. The solution of the master equation resulting from the time-convolutionless projection operator technique exhibits strong oscillations in the occupation number of the Bose-Einstein condensate. These oscillations are traced back to a quantum interference which is due to the non-Markovian dynamics and which decays slowly in time as a result of the dispersion relation for massive particles.
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"abstract": "The dynamics of atom lasers with a continuous output coupler based on\ntwo-photon Raman transitions is investigated. With the help of the\ntime-convolutionless projection operator technique the quantum master equations\nfor pulsed and continuous wave (cw) atom lasers are derived. In the case of the\npulsed atom laser the power of the time-convolutionless projection operator\ntechnique is demonstrated through comparison with the exact solution. It is\nshown that in an intermediate coupling regime where the Born-Markov\napproximation fails the results of this algorithm agree with the exact\nsolution. To study the dynamics of a continuous wave atom laser a pump\nmechanism is included in the model. Whereas the pump mechanism is treated\nwithin the Born-Markov approximation, the output coupling leads to\nnon-Markovian effects. The solution of the master equation resulting from the\ntime-convolutionless projection operator technique exhibits strong oscillations\nin the occupation number of the Bose-Einstein condensate. These oscillations\nare traced back to a quantum interference which is due to the non-Markovian\ndynamics and which decays slowly in time as a result of the dispersion relation\nfor massive particles.",
"arxiv_id": "quant-ph/9906119",
"authors": [
"H. P. Breuer",
"D. Faller",
"B. Kappler",
"F. Petruccione"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.60.3188",
"title": "Non-Markovian dynamics in pulsed and continuous wave atom lasers",
"url": "https://arxiv.org/abs/quant-ph/9906119"
},
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