Interface tension of Bose-Einstein condensates

Schaeybroeck, Bert Van

doi:10.1103/physreva.78.023624

Cited by 102 publications

(134 citation statements)

References 54 publications

(114 reference statements)

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“…In our model, the velocity of each component is assumed to be uniform between the vortex sheets of the same component; the value of v i increases by 2Ωb across every sheet. We neglect the effect of the trapping potential, so that the total density n T = n 1 +n 2 is approximately uniform even in the presence of the domain boundaries with the penetration depth λ p of the order of the healing length ξ =h/ √ 2mµ [16,31,32]. Although the actual condensate density is nonuniform because of the trapping potential, this model could be valid for condensates with large size in the central region of the trapping potential.…”

Section: Estimation Of the Intersheet Distancementioning

confidence: 99%

“…[31,32]; for m 1 = m 2 = m and a 1 = a 2 = a, the surface tension in a weak segregated regime (δ ≃ 1) is given by…”

Section: Estimation Of the Intersheet Distancementioning

confidence: 99%

“…Besides the sheet distance, we have the other characteristic length scales in this system: (i) the penetration depth λ p of the domain boundary; for the weakly segregated regime, this is given by ∼ ξ/ √ δ − 1 [32], (ii) the Thomas-Fermi radius R TF given by Eq. (8).…”

Section: Estimation Of the Intersheet Distancementioning

confidence: 99%

“…Then, in the space in which only one density is nonvanishing (n i = |Ψ i | 2 = 0 and n j = 0, for i = j), the density profile is given by the single-component Thomas-Fermi profile n i = [µ i − V i (r)]/g i . Since the Thomas-Fermi approximation fails to describe the domain boundary region, more careful analysis is necessary to determine the explicit density profile in this region [31,32].…”

Section: Vortex Sheet In Trapped Two-component Becs a Coupled Gmentioning

confidence: 99%

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Vortex sheet in rotating two-component Bose-Einstein condensates

Kasamatsu

Tsubota

2009

Phys. Rev. A

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We investigate vortex states of immiscible two-component Bose-Einstein condensates under rotation through numerical simulations of the coupled Gross-Pitaevskii equations. For strong intercomponent repulsion, the two components undergo phase separation to form several density domains of the same component. In the presence of the rotation, the nucleated vortices are aligned between the domains to make up winding chains of singly quantized vortices, a vortex sheet, instead of periodic vortex lattices. The vortices of one component are located at the region of the density domains of the other component, which results in the serpentine domain structure. The sheet configuration is stable as long as the imbalance of the intracomponent parameter is small. We employ a planar sheet model to estimate the distance between neighboring sheets, determined by the competition between the surface tension of the domain wall and the kinetic energy of the superflow via quantized vortices. By comparing the several length scales in this system, the phase diagram of the vortex state is obtained.

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Section: Estimation Of the Intersheet Distancementioning

confidence: 99%

“…[31,32]; for m 1 = m 2 = m and a 1 = a 2 = a, the surface tension in a weak segregated regime (δ ≃ 1) is given by…”

Section: Estimation Of the Intersheet Distancementioning

confidence: 99%

Section: Estimation Of the Intersheet Distancementioning

confidence: 99%

Section: Vortex Sheet In Trapped Two-component Becs a Coupled Gmentioning

confidence: 99%

See 2 more Smart Citations

Vortex sheet in rotating two-component Bose-Einstein condensates

Kasamatsu

Tsubota

2009

Phys. Rev. A

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“…The Lagrangian of Eq. (1.4) can then be rewritten as 13) where α is the interface tension coefficient α [52,53], which originates from the excess energy at the interface, and…”

Section: Interface Instabilitymentioning

confidence: 99%

Quantized Vortices and Quantum Turbulence

Tsubota

Kasamatsu

2013

Physics of Quantum Fluids

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Abstract. We review recent important topics in quantized vortices and quantum turbulence in atomic Bose-Einstein condensates (BECs). They have previously been studied for a long time in superfluid helium. Quantum turbulence is currently one of the most important topics in low-temperature physics. Atomic BECs have two distinct advantages over liquid helium for investigating such topics: quantized vortices can be directly visualized and the interaction parameters can be controlled by the Feshbach resonance. A general introduction is followed by a description of the dynamics of quantized vortices, hydrodynamic instability, and quantum turbulence in atomic BECs. IntroductionBose-Einstein condensation is often considered to be a macroscopic quantum phenomenon because bosons occupy the same single-particle ground state below the critical temperature for Bose-Einstein condensation so that they have a macroscopic wave function (order parameter) Ψ (r, t) = |Ψ (r, t)|e iθ(r,t) that extends over the entire system. Here, the absolute squared amplitude |Ψ | 2 = n gives the condensate density and the gradient of the phase θ(r, t) gives the superfluid velocity field v s = (h/m)∇θ with boson mass m as the potential flow. Since the macroscopic wave function should be single-valued for the space coordinate r, the circulation Γ = v s · dℓ for an arbitrary closed loop in the fluid will be quantized with the quantum κ = h/m. A vortex with such quantized circulation is known as a quantized vortex. Any rotational motion of a superfluid is sustained only by quantized vortices. Hydrodynamics dominated by quantized vortices is called quantum hydrodynamics (QHD), and turbulence comprised of quantized vortices is known as quantum turbulence (QT).A quantized vortex is a stable topological defect that is a characteristic of a Bose-Einstein condensate (BEC). It differs from a vortex in a classical

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Surface Tension of the Black Hole Horizon

Shu

Cui

Liu

et al. 2019

Fortschritte der Physik

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The idea of treating the horizon of a black hole as a stretched membrane with surface tension has a long history. In this work, we discuss the microscopic origin of the surface tension of the horizon in quantum pictures of spaces, which are Bose-Einstein condensates of gravitons. The horizon is a phase interface of gravitons, the surface tension of which is found to be a result of the difference in the strength of the interaction between the gravitons on its two sides. The gravitational source, such as a Schwarzschild black hole, creates a transitional zone by changing the energy and distribution of its surrounding gravitons. Archimedes' principle for gravity can be expressed as follows: "the gravity on an object is equal to the weight of the gravitons that it displaces."

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Interface tension of Bose-Einstein condensates

Cited by 102 publications

References 54 publications

Vortex sheet in rotating two-component Bose-Einstein condensates

Vortex sheet in rotating two-component Bose-Einstein condensates

Quantized Vortices and Quantum Turbulence

Surface Tension of the Black Hole Horizon

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