Dynamics of phase separation in two-species Bose-Einstein condensates with vortices

Bandyopadhyay, Soumik; Roy, Arko; Angom, D.

doi:10.1103/physreva.96.043603

Cited by 31 publications

(30 citation statements)

References 59 publications

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“…Besides increasing the winding numbers κ j beyond the value 2 to reveal further splitting patterns [105], there are several other ways to extend this work. Incorporating the immiscible regime Γ > 1 and the associated nonaxisymmetric stationary vortex states would present an opportunity to investigate the interplay [106] between vortex dynamics, phase separation [107][108][109], and instabilities associated with fluid interfaces [110][111][112]. Generalizing the study to threedimensional dynamics would enable us to study the splittinginduced intertwining of vortices [23,25,26] as well as the dynamics of composite defects consisting of vortex lines and interfaces [113][114][115].…”

Section: Discussionmentioning

confidence: 99%

Splitting of singly and doubly quantized composite vortices in two-component Bose-Einstein condensates

et al. 2019

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We study numerically the dynamical instabilities and splitting of singly and doubly quantized composite vortices in nonrotated two-component Bose-Einstein condensates harmonically confined to quasi two dimensions. In this system, the vortices become pointlike composite defects that can be classified in terms of an integer pair (κ 1 ,κ 2 ) of phase-winding numbers. Our numerical simulations based on zero-temperature mean-field theory reveal several vortex splitting behaviors that stem from the multicomponent nature of the system and do not have direct counterparts in single-component condensates. By calculating the Bogoliubov quasiparticle excitations of stationary axisymmetric composite vortices, we find complex-frequency excitations (dynamical instabilities) for the singly quantized (1,1) and (1,−1) vortices and for all variants of doubly quantized vortices, which we define by max j=1,2 |κ j | = 2. While the predictions of the linear Bogoliubov analysis are confirmed by direct time integration of the Gross-Pitaevskii equations of motion, the latter also reveals intricate long-time decay behavior not captured by the linearized dynamics. Firstly, the (1,±1) vortex is found to be unstable against splitting into a (1,0) and a (0,±1) vortex. Secondly, the (2,1) vortex exhibits a two-step decay process by splitting first into a (2,0) and a (0,1) vortex followed by the off-axis splitting of the (2,0) vortex into two (1,0) vortices. Thirdly, the (2,−2) vortex is observed to split into a (−1,1) vortex, three (1,0) vortices, and three (0,−1) vortices. Each of these exotic splitting modes is the dominant dynamical instability of the respective stationary vortex in a wide range of intercomponent interaction strengths and relative populations of the two condensate components and should be amenable to experimental detection. Our results contribute to a better understanding of vortex physics, hydrodynamic instabilities, and two-dimensional quantum turbulence in multicomponent superfluids.The aforementioned studies of vortex splitting [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] were conducted for a solitary scalar BEC, which is described by a single C-valued order parameter. However, vortex physics becomes much more diverse when multiple, say K ∈ N, scalar condensates come into contact, interact with one another, and thereby constitute an K-component BEC described by a C K -valued vectorial order parameter. Already the simplest multicomponent system, the two-component BEC corresponding to K = 2, has been found to exhibit many stable vortex structures not encountered in single-component BECs, such as coreless vortices [6], square vortex lattices [47][48][49], serpentine vortex sheets [50], triangular lattices of vortex pairs [49], skyrmions [51][52][53], and meron pairs [54,55]. Although presently only the coreless vortices [6] and square vortex lattices [48] from this list have been verified experimentally, studies of exotic vortex configurations in twocomponent BECs are becoming more and more within reach ...

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Section: Discussionmentioning

confidence: 99%

Splitting of singly and doubly quantized composite vortices in two-component Bose-Einstein condensates

et al. 2019

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“…Then the dimensionless form of the coupled GP equations of Eq. (1) after integrating over φ σ (z), since we address a 2D system, is the following [92] i…”

Section: A the Setupmentioning

confidence: 99%

Quench induced vortex-bright-soliton formation in binary Bose-Einstein condensates

Mukherjee

Mistakidis

Kevrekidis

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

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We unravel the spontaneous generation of vortex-bright-soliton structures in binary Bose-Einstein condensates with a small mass imbalance between the species confined in a two-dimensional harmonic trap where one of the two species has been segmented into two parts by a potential barrier. To trigger the dynamics the potential barrier is suddenly removed and subsequently the segments perform a counterflow dynamics. We consider a relative phase difference of π between the segments, while a singly quantized vortex may be imprinted at the center of the other species. The number of vortex structures developed within the segmented species following the merging of its segments is found to depend on the presence of an initial vortex on the other species. In particular, a π phase difference in the segmented species and a vortex in the other species result in a single vortex-bright-soliton structure. However, when the non-segmented species does not contain a vortex the counterflow dynamics of the segmented species gives rise to a vortex dipole in it accompanied by two bright solitary waves arising in the non-segmented species. Turning to strongly mass imbalanced mixtures, with a heavier segmented species, we find that the same overall dynamics takes place, while the quench-induced nonlinear excitations become more robust. Inspecting the dynamics of the angular momentum we show that it can be transferred from one species to the other, and its transfer rate can be tuned by the strength of the interspecies interactions and the mass of the atomic species.

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“…Creation of vortex states in atomic Bose-Einstein condensates (BECs) has been the subject of quite intensive research, with particular focus on superfluid properties [1][2][3] and quantum turbulence [4][5][6][7][8][9][10]. A number of theoretical and experimental studies have considered the properties of vortex states in single and multicomponent BECs [11][12][13][14][15][16], their stability [17][18][19][20][21][22][23][24] and collective excitations [25][26][27][28][29], thus opening up an avenue of opportunities to explore and develop quantum state engineering in a macroscopic system [21,30,31]. Owing to the highly controllable state-of-the-art BEC experiments, the presence of a vortex in BECs can be detected and their dynamics can be monitored with good spatial and temporal resolution [31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of the Creation of a Rotating Bose–Einstein Condensation by Two Photon Raman Transition Using a Laguerre–Gaussian Laser Pulse

Mukherjee

Bandyopadhyay

Angom

et al. 2021

Atoms

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We present numerical simulations to unravel the dynamics associated with the creation of a vortex in a Bose–Einstein condensate (BEC), from another nonrotating BEC using two-photon Raman transition with Gaussian (G) and Laguerre–Gaussian (LG) laser pulses. In particular, we consider BEC of Rb atoms at their hyperfine ground states confined in a quasi two dimensional harmonic trap. Optical dipole potentials created by G and LG laser pulses modify the harmonic trap in such a way that density patterns of the condensates during the Raman transition process depend on the sign of the generated vortex. We investigate the role played by the Raman coupling parameter manifested through dimensionless peak Rabi frequency and intercomponent interaction on the dynamics during the population transfer process and on the final population of the rotating condensate. During the Raman transition process, the two BECs tend to have larger overlap with each other for stronger intercomponent interaction strength.

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Dynamics of phase separation in two-species Bose-Einstein condensates with vortices

Cited by 31 publications

References 59 publications

Splitting of singly and doubly quantized composite vortices in two-component Bose-Einstein condensates

Splitting of singly and doubly quantized composite vortices in two-component Bose-Einstein condensates

Quench induced vortex-bright-soliton formation in binary Bose-Einstein condensates

Dynamics of the Creation of a Rotating Bose–Einstein Condensation by Two Photon Raman Transition Using a Laguerre–Gaussian Laser Pulse

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