Magnetic Richtmyer-Meshkov instability in a two-component Bose-Einstein condensate

Bezett, A.; Bychkov, Vitaly; Lundh, Emil; Kobyakov, Dmitry; Marklund, Mattias

doi:10.1103/physreva.82.043608

Cited by 44 publications

(55 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this turbulence, not only the velocity field but also the spin density vector field is disturbed, so we call it spin turbulence. Though QT in the binary [151,152,153,154,155,156,157] and spin-2 spinor BECs [136,158] have been studied, we do not address these in this review.…”

Section: Theoretical Studies Of Turbulence In Spinor Becsmentioning

confidence: 99%

“…Recently, studies of QT in this system have been carried out [136,151,152,153,154,155,156,157,158], in which correlation functions for the velocity field and spin density vector were investigated and some power laws were reported. However, these address binary QT in limited parameter regions, and QT in a mass imbalance system or QT with spin-orbit coupling have never been investigated.…”

Section: Qt In a Binary Becmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Studies of Quantum Turbulence

2017

View full text Add to dashboard Cite

We review numerical studies of quantum turbulence. Quantum turbulence is currently one of the most important problems in low temperature physics and is actively studied for superfluid helium and atomic Bose-Einstein condensates. A key aspect of quantum turbulence is the dynamics of condensates and quantized vortices. The dynamics of quantized vortices in superfluid helium are described by the vortex filament model, while the dynamics of condensates are described by the Gross-Pitaevskii model. Both of these models are nonlinear, and the quantum turbulent states of interest are far from equilibrium. Hence, numerical studies have been indispensable for studying quantum turbulence. In fact, numerical studies have contributed in revealing the various problems of quantum turbulence. This article reviews the recent developments in numerical studies of quantum turbulence. We start with the motivation and the basics of quantum turbulence and invite readers to the frontier of this research. Though there are many important topics in the quantum turbulence of superfluid helium, this article focuses on inhomogeneous quantum turbulence in a channel, which has been motivated by recent visualization experiments. Atomic Bose-Einstein condensates are a modern issue in quantum turbulence, and this article reviews a variety of topics in the quantum turbulence of condensates e.g. two-dimensional quantum turbulence, weak wave turbulence, turbulence in a spinor condensate, etc., some of which has not been addressed in superfluid helium and paves the novel way for quantum turbulence researches. Finally we discuss open problems.

show abstract

Section: Theoretical Studies Of Turbulence In Spinor Becsmentioning

confidence: 99%

Section: Qt In a Binary Becmentioning

confidence: 99%

Numerical Studies of Quantum Turbulence

2017

View full text Add to dashboard Cite

show abstract

“…Employing such adjustability and selectability, intriguing phenomena that depend on the degree of miscibility have been experimentally observed, e.g., soliton generation in a counterflow of miscible fluids [8,9], quantum tunneling across spin domains [10] and suppression of relative flow by multiple domains [11] in immiscible systems. Theoretically, quantum turbulence in a counterflow of miscible BECs [12,13] and pattern formation by instabilities at interfaces in immiscible BECs [14][15][16][17][18] have been predicted.…”

mentioning

confidence: 99%

Bouncing motion and penetration dynamics in multicomponent Bose-Einstein condensates

et al. 2016

View full text Add to dashboard Cite

We investigate dynamic properties of bouncing and penetration in colliding binary and ternary Bose-Einstein condensates comprised of different Zeeman or hyperfine states of 87 Rb. Through the application of magnetic field gradient pulses, two-or three-component condensates in an optical trap are spatially separated and then made to collide. The subsequent evolutions are classified into two categories: repeated bouncing motion and mutual penetration after damped bounces. We experimentally observed mutual penetration for immiscible condensates, bouncing between miscible condensates, and domain formation for miscible condensates. From numerical simulations of the Gross-Pitaevskii equation, we find that the penetration time can be tuned by slightly changing the atomic interaction strengths. Multicomponent Bose-Einstein condensates (BECs) in dilute atomic gases are an attractive system for studying hydrodynamics of multicomponent quantum fluids owing to their unprecedented controllability. One of the significant properties characterizing multicomponent fluid systems is their miscibility; different fluids are either mutually miscible or phase separation occurs. In multicomponent BECs, the miscibility is determined by inter-and intra-species atomic interaction strengths [1] and, importantly, they can be experimentally controlled using Feshbach resonances [2,3] and Rabi coupling [4,5]. Multicomponent BECs with various degrees of miscibility are also available by choosing the internal states [6] or atomic species [7]. Employing such adjustability and selectability, intriguing phenomena that depend on the degree of miscibility have been experimentally observed, e.g., soliton generation in a counterflow of miscible fluids [8,9] The condition for miscibility in multicomponent BECs is determined by linear stability analysis of a static or steady state, and is not naively applicable to dynamical situations. Let us consider a situation in which two wave packets of different BECs collide with each other. One may think that the two wave packets pass through each other without much reflection for miscible BECs, while for immiscible BECs they do not. However, we will show that these simple predictions from the miscibility do not apply to a highly dynamic situation.In this Rapid Communication, we generate multicomponent BECs with various degrees of miscibility by utilizing the rich spin degrees of freedom of the 87 Rb atom, and investigate the dynamical properties of bouncing and penetration in colliding binary and ternary BECs in an optical trap. We observed various dynamics, including bouncing between miscible BECs and mutual penetration of immiscible BECs, which seems counterintuitive at first glance. In miscible and weakly immiscible binary and ternary systems, after a few bounces, BECs mutually penetrate and create the domain structure. In contrast, in the case of a relatively strongly immiscible system, binary BECs continue to bounce. Such repetitive bouncing motion between atoms has been observed only in a Tonks-Girardeau ga...

show abstract

“…In order to find the steady-state solutionZ 0j ≡ Z j (t < 0), one may calculate the interaction force F 12 (t < 0) using the equilibrium profiles (13). However, it is enough to note that to first order in γ , and neglecting the curvature of the trapping potential, the components add up to form a flat interface: n 2(int) (z) = n 0 − n 1(int) (z).…”

Section: A Preliminary Stage: Bulk Oscillationsmentioning

confidence: 99%

“…Recently there has been much interest in the quantum hydrodynamics and nonlinear responce of two-component BECs [1][2][3][4][5][6][7][8][9] and, in particular, in the development of quasihydrodynamic instabilities at the interface separating the immiscible components [10][11][12][13][14][15][16]. Among these phenomena, the quantum Rayleigh-Taylor instability (RTI) is, probably, one of the most representative and fascinating [12,16].…”

Section: Introductionmentioning

confidence: 99%

Quantum swapping of immiscible Bose-Einstein condensates as an alternative to the Rayleigh-Taylor instability

et al. 2012

Self Cite

View full text Add to dashboard Cite

We consider a two-component Bose-Einstein condensate in a quasi-one-dimensional harmonic trap, where the immiscible components are pressed against each other by an external magnetic force. The zero-temperature nonstationary Gross-Pitaevskii equations are solved numerically; analytical models are developed for the key steps in the process. We demonstrate that if the magnetic force is strong enough, then the condensates may swap their places in the trap due to dynamic quantum interpenetration of the nonlinear matter waves. The swapping is accompanied by development of a modulational instability leading to quasiturbulent excitations. Unlike the multidimensional Rayleigh-Taylor instability in a similar geometry of two-component quantum fluid systems, quantum interpenetration has no classical analog. In a two-dimensional geometry a crossover between the Rayleigh-Taylor instability and the dynamic quantum interpenetration is investigated.

show abstract

Magnetic Richtmyer-Meshkov instability in a two-component Bose-Einstein condensate

Cited by 44 publications

References 27 publications

Numerical Studies of Quantum Turbulence

Numerical Studies of Quantum Turbulence

Bouncing motion and penetration dynamics in multicomponent Bose-Einstein condensates

Quantum swapping of immiscible Bose-Einstein condensates as an alternative to the Rayleigh-Taylor instability

Contact Info

Product

Resources

About