Nonequilibrium statistical mechanics in one-dimensional bose gases

Baldovin, Fulvio; Cappellaro, Alberto; Orlandini, Enzo; Salasnich, Luca

doi:10.1088/1742-5468/2016/06/063303

Cited by 8 publications

(14 citation statements)

References 36 publications

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“…x + p 2 y )/(2m) with p = (p x , p y ) the planar linear momentum, a condition actual experiments can provide quite easily. The 3D system is then forced to occupy the longitudinal ground state along the confining axis and one finds [21] that the planar distribution f (r, p) of atoms in the 4D single-particle phase space ((r, p) = (x, y, p x , p y )) satisfies the effective 2D Landau-Vlasov equation [9,10].…”

Section: Introductionmentioning

confidence: 99%

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Collisionless dynamics in two-dimensional bosonic gases

2018

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We study the dynamics of dilute and ultracold bosonic gases in a quasi two-dimensional (2D) configuration and in the collisionless regime. We adopt the 2D Landau-Vlasov equation to describe a three-dimensional gas under very strong harmonic confinement along one direction. We use this effective equation to investigate the speed of sound in quasi 2D bosonic gases, i.e. the sound propagation around a Bose-Einstein distribution in collisionless 2D gases. We derive coupled algebraic equations for the real and imaginary parts of the sound velocity, which are then solved taking also into account the equation of state of the 2D bosonic system. Above the Berezinskii-Kosterlitz-Thouless critical temperature we find that there is rapid growth of the imaginary component of the sound velocity which implies a strong Landau damping. Quite remarkably, our theoretical results are in good agreement with very recent experimental data obtained with a uniform 2D Bose gas of 87 Rb atoms.

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Section: Introductionmentioning

confidence: 99%

“…In the limit of weakly damped wave, i.e. c I ≪ c R , an elegant formulation is provided for the real and imaginary part of c [21]. In particular, one finds two coupled equations for the real part c R and the imaginary part c I of the speed of sound.…”

Section: Introductionmentioning

confidence: 99%

Collisionless dynamics in two-dimensional bosonic gases

2018

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“…Consequently, no thermalization is possible, as verified in ultracold bosonic atoms trapped in 1D optical lattices [10,11]. For these dilute 1D bosonic systems, the Landau-Vlasov equation is applicable, provided the gas does not contain a quasi-condensate and that it is not in the Tonks-Girardeau regime, with fermionic properties [10,12]. We are following the terminology of ultracold atoms community [12] (and references therein) when referring to the Landau-Vlasov equation.…”

Section: Introductionmentioning

confidence: 99%

“…For these dilute 1D bosonic systems, the Landau-Vlasov equation is applicable, provided the gas does not contain a quasi-condensate and that it is not in the Tonks-Girardeau regime, with fermionic properties [10,12]. We are following the terminology of ultracold atoms community [12] (and references therein) when referring to the Landau-Vlasov equation. Namely, it is collisionless so that it has no "Landau collision operator", as would be implied in the context of plasma physics.…”

Section: Introductionmentioning

confidence: 99%

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Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation

Haas

Vidmar

2022

Atoms

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The one-dimensional Landau–Vlasov equation describing ultracold dilute bosonic gases in the mean-field collisionless regime under strong transverse confinement is analyzed using traditional methods of plasma physics. Time-independent, stationary solutions are found using a similar approach as for the Bernstein–Greene–Kruskal nonlinear plasma modes. Linear stationary waves similar to the Case–Van Kampen plasma normal modes are also shown to be available. The new bosonic solutions have no decaying or growth properties, in the same sense as the analog plasma solutions. The results are applied for real ultracold bosonic gases accessible in contemporary laboratory experiments.

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Upper and lower bounds on phase-space rearrangements

Kolmes,

Fisch

2024

Physics of Plasmas

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Broad classes of plasma phenomena can be understood in terms of phase-space rearrangements. For example, the net effect of a wave–particle interaction may consist of moving populations of particles from one region of phase space to another. Different phenomena drive rearrangements that obey different rules. When those rules can be specified, it is possible to calculate bounds that limit the possible effects the rearrangement could have (such as limits on how much energy can be extracted from the particles). This leads to two problems. The first is to understand the mapping between the allowed class of rearrangements and the possible outcomes that these rearrangements can have on the overall distribution. The second is to understand which rules are appropriate for which physical systems. There has been recent progress on both fronts, but a variety of interesting questions remain unanswered.

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Nonequilibrium statistical mechanics in one-dimensional bose gases

Cited by 8 publications

References 36 publications

Collisionless dynamics in two-dimensional bosonic gases

Collisionless dynamics in two-dimensional bosonic gases

Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation

Upper and lower bounds on phase-space rearrangements

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