On the survival of the quantum depletion of a condensate after release from a magnetic trap

Ross, J. A.; Deuar, P.; Shin, D. K.; Thomas, K. F.; Henson, B. M.; Hodgman, S. S.; Truscott, A. G.

doi:10.48550/arxiv.2103.15283

Cited by 5 publications

(8 citation statements)

References 78 publications

(145 reference statements)

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“…This formed a sensitive measurement of the optical dipole polarizability of helium and in turn the tune-out frequency, at which the dipole polarizability vanishes, as a stringent test of QED. The ability to measure the trap frequency of multiple axes simultaneously allowed for quick calibration in [8] where it was used to quantitatively compare theoretical predictions with experimental measurements. In [38] we used both the frequency and amplitude and measurements as a measure of excitation after superfluid transport.…”

Section: Discussionmentioning

confidence: 99%

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Trap Frequency Measurement with a Pulsed Atom Laser

Henson,

Thomas,

Mehdi

et al. 2022

Preprint

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We describe a novel method of single-shot trap frequency measurement for a confined Bose-Einstein Condensate, which uses an atom laser to repeatedly sample the mean velocity of trap oscillations as a function of time. In our experiment this approach is able to determine the trap frequency to an accuracy of 39 ppm (16 mHz) in a single experimental realization, improving on the literature by a factor of three. Further, we show that by employing a reconstructive aliasing approach our method can be applied to trap frequencies much higher than the sampling frequency.

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Section: Discussionmentioning

confidence: 99%

“…Improving the precision, speed and convenience of trap frequency measurement will allow higher precision investigations of BEC physics including many body physics phenomena (e.g. quantum depletion [7][8][9], thermalization [10], collective excitations [11], and phase transitions [12]) and improve the capability of curvature sensing.…”

Section: Introductionmentioning

confidence: 99%

Trap Frequency Measurement with a Pulsed Atom Laser

Henson,

Thomas,

Mehdi

et al. 2022

Preprint

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“…[45] (see also [50]). Such equations have been used to successfully describe several experimental results on Bose-Einstein condensate collisions [45,[51][52][53][54][55][56], and a more recent extension of this approach was used to characterize the quantum depletion of an expanding condensate [57]. We point out that the stochastic Bogoliubov equations themselves are equivalent to the usual Bogoliubov approach [15,16,58,59] in which the Bose field operator is expanded as Ψ = Ψ 0 + δ ψ where Ψ 0 is the mean-field order parameter obeying equation ( 22) and δ ψ represents small fluctuations around the mean-field obeying…”

Section: Comparison With Bogoliubov Approachesmentioning

confidence: 99%

“…Some situations where this type of advantage has already been exploited can be found in Refs. [45,55,57]. In these cases, the systems being considered require an extremely large numerical lattice or an unreasonable number of modes for simulation.…”

Section: Comparison With Bogoliubov Approachesmentioning

confidence: 99%

“…By contrast however, the usual Bogoliubov and stochastic Bogoliubov schemes presented here do provide corrections to the mean-field density in the sense that they are not number conserving. While more elaborate number conserving approaches are possible [57,62,65,66], where the number of particles in the mean-field or condensate mode Ψ 0 remains constant, and the number of particles in the excitations can vary. This can lead to dynamical population growth in the total particle number density of the system where the initial state of the fluctuating component is assumed to be a vacuum state.…”

Section: Comparison With Bogoliubov Approachesmentioning

confidence: 99%

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Phase-space stochastic quantum hydrodynamics for interacting Bose gases

Simmons¹,

Pillay²,

Kheruntsyan³

2022

Preprint

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Hydrodynamic theories offer successful approaches that are capable of simulating the otherwise difficult-to-compute dynamics of quantum many-body systems. In this work we derive, within the positive-P phase-space formalism, a new stochastic hydrodynamic method for the description of interacting Bose gases. It goes beyond existing hydrodynamic approaches, such as superfluid hydrodynamics or generalized hydrodynamics, in its capacity to simulate the full quantum dynamics of these systems: it possesses the ability to compute non-equilibrium quantum correlations, even for short-wavelength phenomena. Using this description, we derive a linearized stochastic hydrodynamic scheme which is able to simulate such non-equilibrium situations for longer times than the full positive-P approach, at the expense of approximating the treatment of quantum fluctuations, and show that this linearized scheme can be directly connected with existing Bogoliubov approaches. Furthermore, we go on to demonstrate the usefulness and advantages of this formalism by exploring the correlations that arise in a quantum shock wave scenario and comparing its predictions to other established quantum many-body approaches.

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Close-coupled model of Feshbach resonances in ultracold He3 and He4 atomic collisions

2021

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Helium atoms in the metastable 2 3 S 1 state (He * ) have unique advantages for ultracold atomic experiments. However, there is no known accessible Feshbach resonance in He * which could be used to manipulate the scattering length and hence unlock several new experimental possibilities. Previous experimental and theoretical studies for He * have produced contradictory results. We aimed to resolve this discrepancy with a theoretical search for Feshbach resonances, using a close-coupled model of He * collisions in the presence of an external magnetic field. Several resonances were detected and the existing literature discrepancy was resolved. Although none of the resonances identified are readily experimentally usable, an interesting non-Feshbach scattering length variation with magnetic field was observed in heteronuclear collisions, at field strengths that are experimentally accessible.

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On the survival of the quantum depletion of a condensate after release from a magnetic trap

Cited by 5 publications

References 78 publications

Trap Frequency Measurement with a Pulsed Atom Laser

Trap Frequency Measurement with a Pulsed Atom Laser

Phase-space stochastic quantum hydrodynamics for interacting Bose gases

Close-coupled model of Feshbach resonances in ultracold He3 and He4 atomic collisions

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On the survival of the quantum depletion of a condensate after release from a magnetic trap

Cited by 5 publications

References 78 publications

Trap Frequency Measurement with a Pulsed Atom Laser

Trap Frequency Measurement with a Pulsed Atom Laser

Phase-space stochastic quantum hydrodynamics for interacting Bose gases

Close-coupled model of Feshbach resonances in ultracold He*3 and He*4 atomic collisions

Contact Info

Product

Resources

About

Close-coupled model of Feshbach resonances in ultracold He3 and He4 atomic collisions