Quantum Depletion of a Homogeneous Bose-Einstein Condensate

Lopes, Raphaël; Eigen, Christoph; Navon, Nir; Clément, David; Smith, Robert P.; Hadzibabic, Zoran

doi:10.1103/physrevlett.119.190404

Cited by 139 publications

(125 citation statements)

References 31 publications

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“…However, finite-size errors might still be significant especially when system sizes are small. Our results are directly applicable to different types of disorder experiments, as we have studied effects of unbounded Gaussian type of disorder that is related to the exponential type of disorder of speckle fields [6], as well as the more idealistic box type of disorder that can be realized in experiments with homogeneous traps [65,66].…”

Section: Discussionmentioning

confidence: 94%

Properties of the superfluid in the disordered Bose-Hubbard model

et al. 2018

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We investigate the properties of the superfluid phase in the three-dimensional disordered Bose-Hubbard model using quantum Monte Carlo simulations. The phase diagram is generated using Gaussian disorder on the onsite potential. Comparisons with box and speckle disorder show qualitative similarities leading to the reentrant behavior of the superfluid. Quantitative differences that arise are controlled by the specific shape of the disorder. Statistics pertaining to disorder distributions are studied for a range of interaction strengths and system sizes, where strong finite-size effects are observed. Despite this, both the superfluid fraction and compressibility remain self-averaging throughout the superfluid phase. Close to the superfluid-Bose-glass phase boundary, finite-size effects dominate but still suggest that self-averaging holds. Our results are pertinent to experiments with ultracold atomic gases where a systematic disorder averaging procedure is typically not possible.

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Section: Discussionmentioning

confidence: 94%

Properties of the superfluid in the disordered Bose-Hubbard model

et al. 2018

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“…Finite temperature (T 0 ¹ ) effects should also be considered for real experiments. The finite temperature usually increases depletion in both fermionic [18] and bosonic [39] gases and it also would affect the formation of pairs making the coboson ansatz less efficient. If the temperature is sufficiently low, quantitatively lower than the Fermi temperature, our results remain correct, but in general the effect of the temperature would result in a loss of the metrological precision [40].…”

Section: Resultsmentioning

confidence: 99%

Molecular interferometers: effects of Pauli principle on entangled-enhanced precision measurements

et al. 2019

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Feshbach molecules forming a Bose-Einstein condensate (BEC) behave as non-ideal bosonic particles due to their underlying fermionic structure. We study the observable consequences of the fermion exchange interactions in the interference of molecular BECs for entangled-enhanced precision measurements. Our many-body treatment of the molecular condensate is based on an ansatz of composite two-fermion bosons which accounts for all possible fermion exchange correlations present in the system. The Pauli principle acts prohibitively on the particle fluctuations during the interference process leading to a loss of precision in phase estimations. However, we find that, in the regime where molecular dissociations do not jeopardize the interference dynamics, measurements of the phase can still be performed with a precision beyond the classical limit comparable to atomic interferometers. We also show that the effects of Pauli principle increases with the noise of the particle detectors such that molecular interferometers would require more efficient detectors.

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“…Bose systems in a rectangular box are not merely an interesting object allowing for detailed calculations, but it can also be realized experimentally inside box-shaped traps [25][26][27].…”

Section: Particle Fluctuations and Stabilitymentioning

confidence: 99%

Particle Fluctuations in Mesoscopic Bose Systems

Yukalov

2019

Symmetry

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Particle fluctuations in mesoscopic Bose systems of arbitrary spatial dimensionality are considered. Both ideal Bose gases and interacting Bose systems are studied in the regions above the Bose-Einstein condensation temperature T c as well as below this temperature. The strength of particle fluctuations defines whether the system is stable or not. Stability conditions depend on the spatial dimensionality d and on the confining dimension D of the system. The consideration shows that mesoscopic systems, experiencing Bose-Einstein condensation, are stable when: (i) ideal Bose gas is confined in a rectangular box of spatial dimension d > 2 above T c and in a box of d > 4 below T c ; (ii) ideal Bose gas is confined in a power-law trap of a confining dimension D > 2 above T c and of a confining dimension D > 4 below T c ; (iii) interacting Bose system is confined in a rectangular box of dimension d > 2 above T c , while below T c particle interactions stabilize the Bose-condensed system making it stable for d = 3; (iv) nonlocal interactions diminish the condensation temperature, as compared with the fluctuations in a system with contact interactions.

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Quantum Depletion of a Homogeneous Bose-Einstein Condensate

Cited by 139 publications

References 31 publications

Properties of the superfluid in the disordered Bose-Hubbard model

Properties of the superfluid in the disordered Bose-Hubbard model

Molecular interferometers: effects of Pauli principle on entangled-enhanced precision measurements

Particle Fluctuations in Mesoscopic Bose Systems

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