2011
DOI: 10.1103/physreva.84.023612
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Direct simulation Monte Carlo method for cold-atom dynamics: Classical Boltzmann equation in the quantum collision regime

Abstract: In this paper, we develop a direct simulation Monte Carlo method for simulating highly nonequilibrium dynamics of nondegenerate ultracold gases. We show that our method can simulate the high-energy collision of two thermal clouds in the regime observed in experiments [Thomas et al. Phys. Rev. Lett. 93, 173201 (2004)], which requires the inclusion of beyond s-wave scattering. We also consider the long-time dynamics of this system, demonstrating that this would be a practical experimental scenario for testing th… Show more

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Cited by 29 publications
(41 citation statements)
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“…The test particles are binned into collision cells to determine possible collision partners. Because the density of the atom cloud can vary considerably, we use an adaptive cartesian grid in real space as outlined in [77], while keeping a global time step.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The test particles are binned into collision cells to determine possible collision partners. Because the density of the atom cloud can vary considerably, we use an adaptive cartesian grid in real space as outlined in [77], while keeping a global time step.…”
Section: Methodsmentioning
confidence: 99%
“…It is interesting to note that our ZNG method remains at least qualitatively correct even for this unusually warm starting state. It suggests that the primary limitations of the method are the simulation run time and the s-wave scattering approximation, which is valid up to approximately 100 µK [77].…”
Section: Distance Seriesmentioning
confidence: 99%
“…The only available option would be to use a Monte Carlo method (see, e.g., Ref. [24]). Additionally we note that several realistic experiments have been modeled within the ergodic approximation and in general have found excellent agreement with the experimental data [18][19][20][21].…”
Section: A Model Overviewmentioning
confidence: 99%
“…The use of optical fields means that atoms in any internal state can be explored in the collider, that collisions can take place in free space since the lasers can be switched off on a nanosecond timescale, and, crucially, magnetic bias fields can be applied to investigate magnetic Feshbach resonances. program we have also developed analysis methods where effects of multiple scattering are taken into account via direct simulation Monte Carlo (DSMC) modelling [21]. In these proceedings we present a summary of collision experiments that we have undertaken using our second-generation optical collider.…”
Section: Introductionmentioning
confidence: 99%