“Cherenkov radiation” of a sound in a Bose condensed gas

Kovrizhin, D. L.; Maksimov, L. A.

doi:10.1016/s0375-9601(01)00197-9

Cited by 25 publications

(30 citation statements)

References 3 publications

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“…For dd = 0, Eq. (13) recovers the previous result with a pure s-wave [19,20]. For dd > 0, the dissipation rate is numerically calculated as a function of velocity v, and the results for θ v = π/4 are displayed in Fig.…”

Section: Arxiv:170108686v2 [Cond-matquant-gas] 17 Mar 2017supporting

confidence: 84%

Landau criterion for an anisotropic Bose-Einstein condensate

2017

Phys. Rev. A

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In this work, we discuss the Landau's criterion for anisotropic superfluidity. To this end, we consider a point-like impurity moving in a uniform Bose-Einstein condensate with either interparticle dipole-dipole interaction or Raman induced spin-orbit coupling. In both cases, we find that the Landau critical velocity vc is generally smaller than the sound velocity in the moving direction. Beyond vc, the energy dissipation rate is explicitly calculated via a perturbation approach. In the plane-wave phase of a spin-orbit coupled Bose gas, the dissipationless motion is suppressed by the Raman coupling even in the direction orthogonal to the recoil momentum. Our predictions can be tested in the experiments with ultracold atoms.

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Section: Arxiv:170108686v2 [Cond-matquant-gas] 17 Mar 2017supporting

confidence: 84%

Landau criterion for an anisotropic Bose-Einstein condensate

2017

Phys. Rev. A

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“…In the present paper, we prove some results complementary to those in [2] for the same model. (For earlier results on related models, see also [7,6]. )…”

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confidence: 97%

Ballistic motion of a tracer particle coupled to a Bose gas

Fröhlich

Gang

2014

Advances in Mathematics

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We study the motion of a heavy tracer particle weakly coupled to a dense interacting Bose gas exhibiting Bose-Einstein condensation. In the so-called mean-field limit, the dynamics of this system approaches one determined by nonlinear Hamiltonian evolution equations. We derive the effective dynamics of the tracer particle, which is described by a non-linear integro-differential equation with memory, and prove that if the initial speed of the tracer particle is below the speed of sound in the Bose gas the motion of the particle approaches an inertial motion at constant velocity at large times.

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“…In the present paper, we prove results complementary to those in [4] for the same model: Assuming that the initial speed of the tracer particle is larger than the speed of sound in the Bose gas, we show that this particle decelerates by emission of Cherenkov radiation of sound waves into the gas until its speed is equal to (or smaller than) the speed of sound. For some earlier results on related models, see also [15,12].…”

Section: Background From Physics and Equations Of Motionmentioning

confidence: 99%

Emission of Cherenkov radiation as a mechanism for Hamiltonian friction

Fröhlich

Gang

2014

Advances in Mathematics

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We study the motion of a heavy tracer particle weakly coupled to a dense, weakly interacting Bose gas exhibiting Bose-Einstein condensation. In the so-called mean-field limit, the dynamics of this system approaches one determined by nonlinear Hamiltonian evolution equations. We prove that if the initial speed of the tracer particle is above the speed of sound in the Bose gas, and for a suitable class of initial states of the Bose gas, the particle decelerates due to emission of Cherenkov radiation of sound waves, and its motion approaches a uniform motion at the speed of sound, as time t tends to ∞.

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“Cherenkov radiation” of a sound in a Bose condensed gas

Cited by 25 publications

References 3 publications

Landau criterion for an anisotropic Bose-Einstein condensate

Landau criterion for an anisotropic Bose-Einstein condensate

Ballistic motion of a tracer particle coupled to a Bose gas

Emission of Cherenkov radiation as a mechanism for Hamiltonian friction

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