Critical wetting, first-order wetting, and prewetting phase transitions in binary mixtures of Bose-Einstein condensates

Schaeybroeck, Bert Van; Indekeu, Joseph

doi:10.1103/physreva.91.013626

Cited by 26 publications

(30 citation statements)

References 80 publications

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“…In other words, in the generic case the bare capillary wave is enhanced and decorated with a modulation of the segregation, apparent as a modulation of the overlap of the order parameters at the interface. This overlap is in principle measurable because it corresponds to the first derivative, with respect to the reduced interaction K, of the grand potential [15].…”

Section: E Interface Deformation Ripplon Amplitude Enhancement and mentioning

confidence: 99%

Capillary-wave dynamics and interface structure modulation in binary Bose-Einstein condensate mixtures

et al. 2018

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The localized low-energy interfacial excitations, or Nambu-Goldstone modes, of phase-segregated binary mixtures of Bose-Einstein condensates are investigated analytically by means of a doubleparabola approximation (DPA) to the Lagrangian density in Gross-Pitaevskii theory for a system in a uniform potential. Within this model analytic expressions are obtained for the excitations underlying capillary waves or "ripplons" for arbitrary strength K (> 1) of the phase segregation.The dispersion relation ω ∝ k 3/2 is derived directly from the Bogoliubov-de Gennes equations in limit that the wavelength 2π/k is much larger than the healing length ξ. The proportionality constant in the dispersion relation provides the static interfacial tension. A correction term in ω(k) of order k 5/2 is calculated analytically, entailing a finite-wavelength correction factor (1 +). This prediction may be tested experimentally using (quasi-)uniform optical-box traps. Explicit expressions are obtained for the structural deformation of the interface due to the passing of the capillary wave. It is found that the amplitude of the wave is enhanced by an amount that is quadratic in the ratio of the phase velocity ω/k to the sound velocity c. For generic asymmetric mixtures consisting of condensates with unequal healing lengths an additional modulation is predicted of the common value of the condensate densities at the interface.

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Section: E Interface Deformation Ripplon Amplitude Enhancement and mentioning

confidence: 99%

Capillary-wave dynamics and interface structure modulation in binary Bose-Einstein condensate mixtures

et al. 2018

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“…Likewise, for describing a condensate, say 1, adsorbed at an (ideal) optical wall [25] at z = 0, we again consider an order parameter that is translationally invariant along x and y, and solve the TIGPE with the boundary conditions…”

Section: Brief Recapitulation Of Gross-pitaevskii Theorymentioning

confidence: 99%

“…These experiments also revived the theoretical interest, much of which is focused on physical phenomena where the interface, separating the BEC components, plays a key role. Different contributions in this context can be found in [24] and a few very recent and relevant research activities concern the statics of interface characteristics [25][26][27][28], capillary wave dispersion relations [29,30], the kinetics [31] and domain formation [21,22,32] during phase segregation, and Nambu-Goldstone modes [29,[33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Interfacial tension and wall energy of a Bose–Einstein condensate binary mixture: Triple-parabola approximation

Deng

Schaeybroeck

Lin

et al. 2016

Physica A: Statistical Mechanics and its Applications

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Accurate and useful analytic approximations are developed for order parameter profiles and interfacial tensions of phase-separated binary mixtures of Bose-Einstein condensates. The pure condensates 1 and 2, each of which contains a particular species of atoms, feature healing lengths ξ 1 and ξ 2 . The inter-atomic interactions are repulsive. In particular, the effective inter-species repulsive interaction strength is K. A triple-parabola approximation (TPA) is proposed, to represent closely the energy density featured in Gross-Pitaevskii (GP) theory. This TPA allows us to define a model, which is a handy alternative to the full GP theory, while still possessing a simple analytic solution. The TPA offers a significant improvement over the recently introduced double-parabola approximation (DPA). In particular, a more accurate amplitude for the wall energy (of a single condensate) is derived and, importantly, a more correct expression for the interfacial tension (of two condensates) is obtained, which describes better its dependence on K in the strong segregation regime, while also the interface profiles undergo a qualitative improvement.

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“…However, close to the order-parameter boundaries, where the atomic densities are low, the TF approximation cannot provide the condensate density profile. Knowing the wave function of the condensate around these boundaries is very important in order to characterize, for instance, the actual kinetic energy [32,33], the tunneling rate across a potential barrier [32,34], or in the case of immiscible TCBECs the penetration of one component into the other [27], which has been reported to be highly relevant when characterizing the * juan.polo@uab.cat physics at the interface [35][36][37][38]. Several works have proposed new analytical approximations beyond the TF approximation for single-component BECs [32,33,[39][40][41][42][43], and for the twocomponent case in the immiscible regime [27,37,38].…”

Section: Introductionmentioning

confidence: 99%

Analysis beyond the Thomas-Fermi approximation of the density profiles of a miscible two-component Bose-Einstein condensate

et al. 2015

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. (2015) 'Analysis beyond the Thomas-Fermi approximation of the density proles of a miscible two-component Bose-Einstein condensate.', Physical review A., 91 (5). 053626.Further information on publisher's website:http://dx.doi.org/10.1103/PhysRevA.91.053626Publisher's copyright statement:Reprinted with permission from the American Physical Society: Physical Review A 91, 053626 c 2015 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modied, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We investigate a harmonically trapped two-component Bose-Einstein condensate within the miscible regime, close to its boundaries, for different ratios of effective intra-and interspecies interactions. We derive analytically a universal equation for the density around the different boundaries in one, two, and three dimensions, for both the coexisting and spatially separated regimes. We also present a general procedure to solve the Thomas-Fermi approximation in all three spatial dimensionalities, reducing the complexity of the Thomas-Fermi problem for the spatially separated case in one and three dimensions to a single numerical inversion. Finally, we analytically determine the frontier between the two different regimes of the system.

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Critical wetting, first-order wetting, and prewetting phase transitions in binary mixtures of Bose-Einstein condensates

Cited by 26 publications

References 80 publications

Capillary-wave dynamics and interface structure modulation in binary Bose-Einstein condensate mixtures

Capillary-wave dynamics and interface structure modulation in binary Bose-Einstein condensate mixtures

Interfacial tension and wall energy of a Bose–Einstein condensate binary mixture: Triple-parabola approximation

Analysis beyond the Thomas-Fermi approximation of the density profiles of a miscible two-component Bose-Einstein condensate

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