Radiation of linear waves in the stationary flow of a Bose-Einstein condensate past an obstacle

Gladush, Yuriy G.; El, Gennady; Gammal, A.; Камчатнов, А. М.

doi:10.1103/physreva.75.033619

Cited by 50 publications

(80 citation statements)

References 14 publications

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“…An analytic discussion of their shape is discussed in detail in [41]; their one-dimensional restriction was first mentioned in [40]. In the next section we shall present analytical formulas for an approximated theory where the single particle region of the Bogoliubov dispersion is modeled with the parabolic dispersion of single-particle excitations.…”

Section: Superfluidity Vs Bogoliubov-cerenkov Wakementioning

confidence: 99%

The C̆erenkov Effect Revisited: From Swimming Ducks to Zero Modes in Gravitational Analogues

Carusotto

Rousseaux²

2013

Lecture Notes in Physics

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We present an interdisciplinary review of the generalizedCerenkov emission of radiation from uniformly moving sources in the different contexts of classical electromagnetism, superfluid hydrodynamics, and classical hydrodynamics. The details of each specific physical systems enter our theory via the dispersion law of the excitations. A geometrical recipe to obtain the emission patterns in both real and wavevector space from the geometrical shape of the dispersion law is discussed and applied to a number of cases of current experimental interest. Some consequences of these emission processes onto the stability of condensed-matter analogs of gravitational systems are finally illustrated.

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Section: Superfluidity Vs Bogoliubov-cerenkov Wakementioning

confidence: 99%

The C̆erenkov Effect Revisited: From Swimming Ducks to Zero Modes in Gravitational Analogues

Carusotto

Rousseaux²

2013

Lecture Notes in Physics

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“…It means that similar computation methods [18,19] can be used in the case of Bose-Einstein condensate. In [16] such a theory was developed and shape of waves crests was obtained. It was shown that this theory agrees very well with numerical simulations.…”

Section: Introductionmentioning

confidence: 99%

“…Some of the elementary characteristics of these structures were derived from the dispersion law (1). In the paper [16] it was noticed that these waves have a physical origin analogous to Kelvin's ship waves [17] generated by a ship moving in a still water. It means that similar computation methods [18,19] can be used in the case of Bose-Einstein condensate.…”

Section: Introductionmentioning

confidence: 99%

Generation of linear waves in Bose-Einstein condensate flow past an obstacle

Gladush

Камчатнов

2007

J. Exp. Theor. Phys.

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The theory of linear wave structures generated in Bose-Einstein condensate flow past an obstacle is developed. The shape of wave crests and dependence of amplitude on coordinates far enough from the obstacle are calculated. The results are in good agreement with the results of numerical simulations obtained earlier. The theory gives a qualitative description of experiments with BoseEinstein condensate flow past an obstacle after condensate's release from a trap.

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“…It was found that the critical velocity at which superfluid behavior breaks down is about V c ∼ = 0.35c s , where c s denotes the sound velocity in a uniform condensate far enough from the obstacle. For the flow velocity above the sound velocity, V > c s , a new channel of dissipation opens-Cherenkov radiation of Bogoliubov waves whose interference results in formation of a specific "ship wave" pattern located, due to the properties of the Bogoliubov dispersion relation, outside the Mach cone [6][7][8][9]. Emission of vortices dominates in the interval of velocities c s < V < 1.43c s where vortices form so-called "vortex streets" located inside the Mach cone.…”

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confidence: 99%

Wave patterns generated by a flow of a two-component Bose-Einstein condensate with spin-orbit interaction past a localized obstacle

Kartashov¹,

Камчатнов²

2014

EPL

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It is shown that spin-orbit interaction leads to drastic changes in wave patterns generated by a flow of two-component Bose-Einstein condensate (BEC) past an obstacle. The combined Rashba and Dresselhaus spin-orbit interaction affects in different ways two types of excitations-density and polarization waves-which can propagate in a two-component BEC. We show that the density and polarization "ship wave" patterns rotate in opposite directions around the axis located at the obstacle position and the angle of rotation depends on the strength of spin-orbit interaction. This rotation is accompanied by narrowing of the Mach cone. The influence of spin-orbit coupling on density solitons and polarization breathers is studied numerically. Physically, Landau criterion corresponds to the threshold value of the flow velocity for generation of linear quasiparticles-phonons and rotons in HeII. In reality, the loss of superfluidity can occur at smaller flow velocity which corresponds to the threshold of generation of nonlinear excitations, e.g., vortices or vortex rings in HeII [3], and this effect has been intensely studied theoretically in the model of weakly nonlinear Bose gas and realized experimentally in experiments with cold atoms (see, e.g., [4,5] and references therein). It was found that the critical velocity at which superfluid behavior breaks down is about V c ∼ = 0.35c s , where c s denotes the sound velocity in a uniform condensate far enough from the obstacle. For the flow velocity above the sound velocity, V > c s , a new channel of dissipation opens-Cherenkov radiation of Bogoliubov waves whose interference results in formation of a specific "ship wave" pattern located, due to the properties of the Bogoliubov dispersion relation, outside the Mach cone [6][7][8][9]. Emission of vortices dominates in the interval of velocities c s < V < 1.43c s where vortices form so-called "vortex streets" located inside the Mach cone. For velocities V > 1.43c s the vortex streets transform into oblique dark solitons [10] which become effectively stable with respect to decay into vortices due to transition from absolute instability of dark solitons to their convective instability in the reference frame related with the obstacle [11][12][13]. Such oblique solitons have been realized in experiments with polariton condensates [14,15].

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Radiation of linear waves in the stationary flow of a Bose-Einstein condensate past an obstacle

Cited by 50 publications

References 14 publications

The C̆erenkov Effect Revisited: From Swimming Ducks to Zero Modes in Gravitational Analogues

The C̆erenkov Effect Revisited: From Swimming Ducks to Zero Modes in Gravitational Analogues

Generation of linear waves in Bose-Einstein condensate flow past an obstacle

Wave patterns generated by a flow of a two-component Bose-Einstein condensate with spin-orbit interaction past a localized obstacle

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