Rayleigh-Taylor instability in a two-component Bose-Einstein condensate with rotational symmetry

Kadokura, Tsuyoshi; Aioi, Tomohiko; Sasaki, Kazuki; Kishimoto, T.; Saito, Hiroki

doi:10.1103/physreva.85.013602

Cited by 62 publications

(40 citation statements)

References 24 publications

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“…Whereas other studies have characterized the IMT of dipolar Bose gases via full mean-field simulations in one dimension [28] and Monte-Carlo simulations in twodimensions [29], we perform full mean-field simulations in addition to an analytic Bogoliubov treatment, allowing us to characterize the IMT very efficiently in a large parameter space. Additionally, we note that other theoretical works on non-dipolar binary BECs have predicted finite wavelength phenomenon regarding, for example, the boundaries of immiscible systems [30][31][32][33] and quenches deep into immiscible parameter space [34]. These phenomena, however, are not roton-like in that the threshold defining the transition parameters is determined by long-wavelength, or phonon-like excitations in each case.…”

Section: Introductionmentioning

confidence: 95%

Roton immiscibility in a two-component dipolar Bose gas

et al. 2012

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We characterize the immiscibility-miscibility transition (IMT) of a two-component Bose-Einstein condensate (BEC) with dipole-dipole interactions. In particular, we consider the quasi-two dimensional geometry, where a strong trapping potential admits only zero-point motion in the trap direction, while the atoms are more free to move in the transverse directions. We employ the Bogoliubov treatment of the two-component system to identify both the well-known long-wavelength IMT in addition to a roton-like IMT, where the transition occurs at finite-wave number and is reminiscent of the roton softening in the single component dipolar BEC. Additionally, we verify the existence of the roton IMT in the fully trapped, finite systems by direct numerical simulation of the two-component coupled non-local Gross-Pitaevskii equations.

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Section: Introductionmentioning

confidence: 95%

Roton immiscibility in a two-component dipolar Bose gas

et al. 2012

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“…[19][20][21][22][23][24][25][26][27][28][29][30][31][32], The interfacial phenom om enology in Bose m ixtures has been explored in Refs. [33][34][35][36][37][38][39][40] and the phase diagram at finite tem perature was investigated in Refs. [41][42][43][44], O ur focus in this paper is on the calculation o f static interfa cial properties o f BEC binary m ixtures w ithin G ross-Pitaevskii (GP) theory [45].…”

Section: Introductionmentioning

confidence: 99%

Static interfacial properties of Bose-Einstein-condensate mixtures

et al. 2015

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The interfacial profiles and interfacial tensions of phase-separated binary mixtures of Bose-Einstein condensates are studied theoretically. The two condensates are characterized by their respective healing lengths and £2 and by the interspecies repulsive interaction K. An exact solution to the Gross-Pitaevskii (GP) equations is obtained for the special case I 2/ I 1 = 1/2 and K = 3/2. Furthermore, applying a double-parabola approximation (DPA) to the energy density featured in GP theory allows us to define a DPA model, which is much simpler to handle than GP theory but nevertheless still captures the main physics. In particular, a compact analytic expression for the interfacial tension is derived that is useful for all f ,, | 2, and K. An application to wetting phenomena is presented for condensates adsorbed at an optical wall. The wetting phase boundary obtained within the DPA model nearly coincides with the exact one in GP theory.

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“…However, there may be a difference in the temperature at which the condensed components are initially held (if condensed separately), and there can easily be situations in which nonequilibrium dynamics are prevalent. A number of studies have reported the development of fundamental instabilities in two-component condensates, such as collective oscillations in colliding condensates [36,37], Rayleigh-Taylortype instabilities [38][39][40], Kelvin-Helmholtz-type instabilities [41,42], counter-superflow instabilities [43,44], and crossovers between Kelvin-Helmholtz-type instabilities and countersuperflow instabilities [45]. A separate line of studies has focused on "exotic" condensates, such as the spin-orbit condensate [46][47][48], the two-or three-component condensate with a Rabi coupling [49,50], spin-orbit together with Rabi coupling [51], and dipole-dipole interactions in two-component condensates [52].…”

Section: Introductionmentioning

confidence: 99%

Number-conserving approaches ton-component Bose-Einstein condensates

Mason

Gardiner

2014

Phys. Rev. A

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We develop the number-conserving approach that has previously been used in a single component Bose-Einstein condensed dilute atomic gas, to describe consistent coupled condensate and noncondensate number dynamics, to an n-component condensate. The resulting system of equations comprises, for each component, of a generalised Gross-Pitaevskii equation coupled to modified Bogoliubov-de Gennes equations. Lower-order approximations yield general formulations for multi-component Gross-Pitaevskii equations, and systems of multicomponent Gross-Pitaevskii equations coupled to multi-component modified number-conserving Bogoliubovde Gennes equations. The analysis is left general, such that, in the n-component condensate, there may or may not be mutually coherent components. An expansion in powers of the ratio of noncondensate to condensate particle numbers for each coherent set is used to derive the self-consistent, second-order, dynamical equations of motion. The advantage of the analysis developed in this article is in its applications to dynamical instabilities that appear when two (or more) components are in conflict and where a significant noncondensed fraction of atoms is expected to appear.

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Rayleigh-Taylor instability in a two-component Bose-Einstein condensate with rotational symmetry

Cited by 62 publications

References 24 publications

Roton immiscibility in a two-component dipolar Bose gas

Roton immiscibility in a two-component dipolar Bose gas

Static interfacial properties of Bose-Einstein-condensate mixtures

Number-conserving approaches ton-component Bose-Einstein condensates

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