Atom-chip diffraction of Bose-Einstein condensates: The role of interatomic interactions

Judd, T. E.; Scott, R. G.; Fromhold, T.M.

doi:10.1103/physreva.78.053623

Cited by 13 publications

(12 citation statements)

References 26 publications

(36 reference statements)

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“…In addition to domains with curved boundaries, it is possible to consider the role played by curved space domains on BECs. Here, we envision an experimental configuration where the BEC is formed on a surface, rather than a flat domain, with the effects of gravity negligible [57,58].…”

Section: Stationary Becs On Generic Bounded Domainsmentioning

confidence: 99%

Perturbation theory for Bose–Einstein condensates on bounded space domains

Gorder

2020

Proc. R. Soc. A.

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Bose–Einstein condensates (BECs), first predicted theoretically by Bose and Einstein and finally discovered experimentally in the 1990s, continue to motivate theoretical and experimental physics work. Although experiments on BECs are carried out in bounded space domains, theoretical work in the modelling of BECs often involves solving the Gross–Pitaevskii equation on unbounded domains, as the combination of bounded domains and spatial heterogeneity render most existing analytical approaches ineffective. Motivated by a lack of theory for BECs on bounded domains, we first derive a perturbation theory for both ground and excited stationary states on a given bounded space domain, allowing us to explore the role various forms of the self-interaction, external potential and space domain have on BECs. We are able to show that the shape and curvature of a space domain strongly influence BEC structure, and may be used as control mechanisms in experiments. We next derive a non-autonomous perturbation theory to predict BEC response to temporal changes in an external potential. In certain cases, our approach can be extended to unbounded domains, and we conclude by constructing a perturbation theory for bright solitons within external potentials on unbounded domains.

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Section: Stationary Becs On Generic Bounded Domainsmentioning

confidence: 99%

Perturbation theory for Bose–Einstein condensates on bounded space domains

Gorder

2020

Proc. R. Soc. A.

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“…For example, in addition to the work discussed above, superfluidity and hydrodynamics in a Josephson junction of a BEC were studied experimentally in an RF dressed double-well potential on a chip [ 315 ]. Theoretical studies of BEC coherence in a double-well potential typical of atom chips were performed using various approaches, including stochastic methods [ 316 , 317 ]. A theoretical study of a full interferometric process in a Mach–Zehnder configuration with interacting atoms [ 318 ] examined the effects of number-squeezing on the phase stability, showing that the standard quantum limit (SQL) for phase sensitivity can be overcome and the Heisenberg limit reached.…”

Section: Interferometry On An Atom Chipmentioning

confidence: 99%

Fifteen years of cold matter on the atom chip: promise, realizations, and prospects

Keil

Amit

Zhou

et al. 2016

Journal of Modern Optics

129

121

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Here we review the field of atom chips in the context of Bose–Einstein Condensates (BEC) as well as cold matter in general. Twenty years after the first realization of the BEC and 15 years after the realization of the atom chip, the latter has been found to enable extraordinary feats: from producing BECs at a rate of several per second, through the realization of matter-wave interferometry, and all the way to novel probing of surfaces and new forces. In addition, technological applications are also being intensively pursued. This review will describe these developments and more, including new ideas which have not yet been realized.

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“…In both the oscillatory and continuous cases we model the dynamics of the dipolar Bose-Einstein condensate (BEC) using the full three-dimensional Gross-Pitaevskii equation (GPE) [25,26], including the usual integral term for the dipolar potential [27] ih…”

Section: Numerical Approachmentioning

confidence: 99%

Transport of dipolar Bose-Einstein condensates in a one-dimensional optical lattice

Kühn

Judd

2013

Phys. Rev. A

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We show that magnetic dipolar interactions can stabilize superfluidity in atomic gases but the dipole alignment direction required to achieve this varies, depending on whether the flow is oscillatory or continuous. If a condensate is made to oscillate through a lattice, damping of the oscillations can be reduced by aligning the dipoles perpendicular to the direction of motion. However, if a lattice is driven continuously through the condensate, superfluid behavior is best preserved when the dipoles are aligned parallel to the direction of motion. We explain these results in terms of the formation of topological excitations and tunnel barrier heights between lattice sites.

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Atom-chip diffraction of Bose-Einstein condensates: The role of interatomic interactions

Cited by 13 publications

References 26 publications

Perturbation theory for Bose–Einstein condensates on bounded space domains

Perturbation theory for Bose–Einstein condensates on bounded space domains

Fifteen years of cold matter on the atom chip: promise, realizations, and prospects

Transport of dipolar Bose-Einstein condensates in a one-dimensional optical lattice

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