Supersonic flow of a Bose-Einstein condensate past an oscillating attractive-repulsive obstacle

Khamis, Eduardo Georges; Gammal, A.

doi:10.1103/physreva.87.045601

Cited by 11 publications

(13 citation statements)

References 32 publications

(40 reference statements)

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“…In order to characterize the superfluid or dissipative flow past the obstacle we invoke the drag force exerted on the fluid by the moving impurity. The drag force [21,62] in our inhomogeneous setting is defined as…”

Section: A Characterizing the Dissipative Flow Via The Drag Forcementioning

confidence: 99%

“…To infer about the dissipative flow we inspect the drag force [29,[62][63][64] exerted on the fluid by the Gaussian impurity. For very small or large driving frequencies the superfluid is dissipationless.…”

Section: Introductionmentioning

confidence: 99%

“…We investigate the system's dynamical response covering the range from weak to strong driving frequencies. To infer about the dissipative flow we inspect the drag force [29,[62][63][64] exerted on the fluid by the Gaussian impurity. For very small or large driving frequencies the superfluid is dissipationless.…”

Section: Introductionmentioning

confidence: 99%

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Many-body dissipative flow of a confined scalar Bose-Einstein condensate driven by a Gaussian impurity

et al. 2018

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The many-body dissipative flow induced by a mobile Gaussian impurity harmonically oscillating within a cigar-shaped Bose-Einstein condensate is investigated. For very small and large driving frequencies the superfluid phase is preserved. Dissipation is identified, for intermediate driving frequencies, by the non-zero value of the drag force whose abrupt increase signals the spontaneous downstream emission of an array of gray solitons. After each emission event, typically each of the solitary waves formed decays and splits into two daughter gray solitary waves that are found to be robust propagating in the bosonic background for large evolution times. In particular, a smooth transition towards dissipation is observed, with the critical velocity for solitary wave formation depending on both the characteristics of the obstacle, namely its driving frequency and width as well as on the interaction strength. The variance of a sample of single-shot simulations indicates the fragmented nature of the system; here it is found to increase during evolution for driving frequencies where the coherent structure formation becomes significant. Finally, we demonstrate that for fairly large particle numbers in-situ single-shot images directly capture the gray soliton's decay and splitting. arXiv:1805.08618v2 [cond-mat.quant-gas]

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Section: A Characterizing the Dissipative Flow Via The Drag Forcementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Many-body dissipative flow of a confined scalar Bose-Einstein condensate driven by a Gaussian impurity

et al. 2018

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“…The latter is analyzed in Ref. [79,89,138] in the case that an external potential is dragged through a BEC. Note that this external potential possesses a well-defined instantaneous position, independently of the exerted drag force.…”

Section: Dynamics Of Two-body Correlationsmentioning

confidence: 99%

Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe

Koutentakis,

Mistakidis,

Schmelcher

2021

Preprint

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Recent studies have demonstrated that higher than two-body bath-impurity correlations are not important for quantitatively describing the ground state of the Bose polaron. Motivated by the above, we employ the so-called Gross Ansatz (GA) approach to unravel the stationary and dynamical properties of the homogeneous one-dimensional Bose-polaron for different impurity momenta and bath-impurity couplings. We explicate that the character of the equilibrium state crossovers from the quasi-particle Bose polaron regime to the collective-excitation stationary dark-bright soliton for varying impurity momentum and interactions. Following an interspecies interaction quench the temporal orthogonality catastrophe is identified, provided that bath-impurity interactions are sufficiently stronger than the intraspecies bath ones, thus generalizing the results of the confined case. This catastrophe originates from the formation of dispersive shock wave structures associated with the zero-range character of the bath-impurity potential. For initially moving impurities, a momentum transfer process from the impurity to the dispersive shock waves via the exerted drag force is demonstrated, resulting in a final polaronic state with reduced velocity. Our results clearly demonstrate the crucial role of non-linear excitations for determining the behavior of the onedimensional Bose polaron.

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“…Vortices have been observed in [4,5], and the corresponding quantum theory was explored by a large number of authors [6,7]. Large vortices of the size of the condensate, reminding those observed in [4], have also been theoretically described as Rossby waves, similar to those occurring in planet atmospheres [8].…”

Section: Introductionmentioning

confidence: 99%

Equilibrium and oscillations in a turbulent Bose–Einstein condensate

Mendonça¹,

Gammal²,

Haas³

2015

J. Phys. B: At. Mol. Opt. Phys.

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A general approach to equilibrium and oscillations in a turbulent Bose-Einstein condensate, valid in the mean-field approximation, is proposed. Two different wave equations, describing the quasistatic equilibrium and the elementary excitations of the medium are derived. In particular, it is shown that a modified Thomas-Fermi equilibrium can be defined in the presence of an arbitrary spectrum of oscillations.The oscillating modes are also determined using Bogoliubov de Gennes equations, valid in different geometrical configurations, such as infinite, cylindrical and toroidal. The case of a nonhomogenous density is considered, which includes the modified equilibrium profiles. A general form of dispersion relation for the elementary excitations is derived. Twisted phonons, carrying a finite amount of angular momentum, are shown to be a particular class of Bogoliubov de Gennes modes. They were previously derived from fluid equations. Nonlinear analysis also shows that envelope dark solitons can exist, and correspond to a rarefaction of twisted phonons.

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Supersonic flow of a Bose-Einstein condensate past an oscillating attractive-repulsive obstacle

Cited by 11 publications

References 32 publications

Many-body dissipative flow of a confined scalar Bose-Einstein condensate driven by a Gaussian impurity

Many-body dissipative flow of a confined scalar Bose-Einstein condensate driven by a Gaussian impurity

Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe

Equilibrium and oscillations in a turbulent Bose–Einstein condensate

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