Tools for designing atom interferometers in a microgravity environment

Ashwood, Elizabeth; Wells, Ed Wesley; Kürkçüoğlu, Doğa Murat; Sapp, Robert Colson; Clark, Charles W.; Edwards, Mark

doi:10.1103/physreva.99.043615

Cited by 1 publication

(5 citation statements)

References 25 publications

(31 reference statements)

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“…We note here that the variational potential definition given here is smaller than that defined in Ref. [60] by a factor of 2.…”

mentioning

confidence: 80%

“…The space and width gradients of U (3D) int (x, w) appearing in the variational equations of motion are derived in Ref. [60]. The result for the space gradients is where η = x, y, z.…”

Section: Discussionmentioning

confidence: 99%

“…We have developed and implemented [60] a variational model that provides rapid approximate solutions for the rotating-frame Gross-Pitaevskii equation (RFGPE) given by [58] ih…”

Section: Variational Gpe Solver Modelmentioning

confidence: 99%

“…Expressions for F jη (x, w) and W jη (x, w) were derived in Ref. [60] and are given in full in Appendix B.…”

Section: Model Equations Of Motion For a Power-law Potentialmentioning

confidence: 99%

“…We assume that the behavior of the condensate in this experiment can be described by the rotating-frame Gross-Pitaevskii equation (RFGPE) [60]. Simulating this experiment by direct numerical solution of the RFGPE is impractical due to the large interferometer areas and long system evolution times involved.…”

Section: Introductionmentioning

confidence: 99%

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Modeling Atom Interferometry Experiments with Bose–Einstein Condensates in Power-Law Potentials

Thomas

Sapp

Henry

et al. 2022

Atoms

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Recent atom interferometry (AI) experiments involving Bose–Einstein condensates (BECs) have been conducted under extreme conditions of volume and interrogation time. Numerical solution of the rotating-frame Gross–Pitaevskii equation (RFGPE), which is the standard mean-field theory applied to these experiments, is impractical due to the excessive computation time and memory required. We present a variational model that provides approximate solutions of the RFGPE for a power-law potential on a practical time scale. This model is well-suited to the design and analysis of AI experiments involving BECs that are split and later recombined to form an interference pattern. We derive the equations of motion of the variational parameters for this model and illustrate how the model can be applied to the sequence of steps in a recent AI experiment where BECs were used to implement a dual-Sagnac atom interferometer rotation sensor. We use this model to investigate the impact of finite-size and interaction effects on the single-Sagnac-interferometer phase shift.

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“…We note here that the variational potential definition given here is smaller than that defined in Ref. [60] by a factor of 2.…”

mentioning

confidence: 80%

“…The space and width gradients of U (3D) int (x, w) appearing in the variational equations of motion are derived in Ref. [60]. The result for the space gradients is where η = x, y, z.…”

Section: Discussionmentioning

confidence: 99%

“…We have developed and implemented [60] a variational model that provides rapid approximate solutions for the rotating-frame Gross-Pitaevskii equation (RFGPE) given by [58] ih…”

Section: Variational Gpe Solver Modelmentioning

confidence: 99%

“…Expressions for F jη (x, w) and W jη (x, w) were derived in Ref. [60] and are given in full in Appendix B.…”

Section: Model Equations Of Motion For a Power-law Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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