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Stability of atomic–molecular coherent states of hybrid Bose–Einstein condensates

Sergey A Gredeskul1,2 and Yuri S Kivshar2

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We study the stability of coherent atomic–molecular states of hybrid Bose–Einstein condensates in the framework of the parametrically coupled Gross–Pitaevskii equations with a weak 'short-correlated' noise, also taking into account the self-interaction effects described by the cubic nonlinearity. We show that the stationary states of the hybrid atomic–molecular condensates are much more robust against the effect of noise than the condensate in the critical regime, describing a complete transformation of the atomic fraction into a molecular condensate, where instability develops essentially faster, with the characteristic time proportional to the logarithm of the noise amplitude.


PACS

42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps

42.50.Dv Quantum state engineering and measurements

03.75.Nt Other Bose-Einstein condensation phenomena

Subjects

Quantum gases, liquids and solids

Optics, quantum optics and lasers

Dates

Issue 5 (May 2005)

Received 18 January 2005, accepted for publication 24 March 2005

Published 15 April 2005



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