The stochastic Gross?Pitaevskii equation: II
By C. Gardiner, Matthew J. Davis. 2002
155 citations recorded by the source corpus.
We show how to adapt the ideas of local energy and momentum conservation in order to derive modifications to the Gross-Pitaevskii equation which can be used phenomenologically to describe irreversible effects in a Bose-Einstein condensate. Our approach involves the derivation of a simplified quantum kinetic theory, in which all processes are treated locally. It is shown that this kinetic theory can then be transformed into a number of phase-space representations, of which the Wigner function description, although approximate, is shown to be the most advantageous. In this description, the quantum kinetic master equation takes the form of a Gross-Pitaevskii equation with noise and damping added according to a well defined prescription - an equation we call the stochastic Gross-Pitaevskii equation. From this, a very simplified description we call the phenomenological growth equation can be derived. We use this equation to study?(i) the nucleation and growth of vortex lattices, and?(ii) nonlinear losses in a hydrogen condensate, which it is shown can lead to a curious instability phenomenon.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/09f8b46591a11b10c2caf965eb3d56a25b650642
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In Atomic and Molecular Physics, and Optics
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- Ashton S. Bradley
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- Sadhan K. Adhikari
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Citations in the corpus
- Spontaneous vortices in the formation of Bose–Einstein condensates (2008, methodology): “We simulate condensate formation using the stochastic Gross-Pitaevskii equation (SGPE) formalism [ 13 , 14] that describes 3”
- Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation (2003, methodology): “Among these we believe that numerical studies of collapsing condensates with attractive interactions and multi-component condensates taking into account all experimentally relevant extensions of the GPE as well as on extensions of the GPE dealing with dissipation mechanisms [28] will be feasible by ”