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Phys. Rev. Lett. 93, 260603 (2004) [4 pages]

Non-Markovian Particle Dynamics in Continuously Controlled Quantum Gases

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D. Ivanov and S. Wallentowitz
Fachbereich Physik, Universität Rostock, Universitätsplatz 3, D-18051 Rostock, Germany

Received 21 September 2004; published 22 December 2004

For a quantum gas, being subject to continuous feedback of a macroscopic observable, the single-particle dynamics is studied. Despite feedback-induced particle correlations, it is shown that analytic solutions are obtained by formally extending the single-particle Hilbert space by an auxiliary degree of freedom. The particle’s motion is then fed by colored noise, which effectively maps quantum-statistical correlations onto the single particle. Thus, the single particle in the continuously controlled gas follows a non-Markovian trajectory in phase space.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.260603
DOI:
10.1103/PhysRevLett.93.260603
PACS:
05.40.–a, 05.30.Jp