Vortices in Multicomponent Bose–einstein Condensates

Kasamatsu, Kenichi; Tsubota, Makoto; Ueda, Masahito

doi:10.1142/s0217979205029602

Cited by 257 publications

(350 citation statements)

References 167 publications

(182 reference statements)

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“…Another motivation for the implementation of a symmetry-locked phase with ultracold fermionic mixtures as proposed here is that -even with only global symmetries -non-Abelian fractional vortices (NAFV) appear. Remarkably the NAFV studied in this paper differ from the previously observed ones [51][52][53] in the origin of their non-Abelianity and fractionally. As a consequence their braiding properties are also different.…”

contrasting

confidence: 77%

Simulation of two-flavor symmetry-locking phases in ultracold fermionic mixtures

Lepori

Trombettoni

Vinci

2015

EPL

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We describe an ultracold fermionic set-up where it is possible to synthesize a superfluid phase with symmetry obtained by locking independent invariance groups of the normal state. In this phase, named two-flavors symmetry-locking phase (TFSL), non-Abelian fractional vortices with semi-integer flux and gapless non-Abelian Goldstone modes localized on them appear. Considerations on the possible experimental realization of the TFSL are also provided. [3]. The possibility to synthesize Abelian and non-Abelian gauge fields, also in the presence of optical lattices [4][5][6][7][8][9], promises a better understanding of an increasing number of relevant physical systems and new phases of gauge field theories. In the non-Abelian case, hyperfine levels of suitable atoms are typically used as internal degrees of freedom where the gauge potential is defined: an advantageous proposal is given by earth-alkaline atoms [10]. To date, only static gauge fields have been experimentally simulated, but proposals for dynamical fields recently appeared in literature [11][12][13][14][15]. A further promising and challenging application of ultracold atoms and synthetic gauge fields is the emulation of relativistic models relevant to high energy physics: recent proposals focused on 2D [16][17][18][19][20][21][22][23] These intensive efforts are also expected to progress towards a better understanding of strongly coupled nonAbelian gauge theories, like quantum chromodynamics (QCD), and potentially to give new insights on the QCD phase diagram. Indeed in QCD various problems stay unsolved, like the origin of color confinement [32], chiral symmetry breaking (CSB), as well as the dynamics of nucleons, nuclear matter or quarks under extreme conditions [33,34]. In the light of the developments mentioned above, ultracold atoms can become a precious tool in the investigation of these important topics.

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contrasting

confidence: 77%

Simulation of two-flavor symmetry-locking phases in ultracold fermionic mixtures

Lepori

Trombettoni

Vinci

2015

EPL

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“…Although the theories and numerical methods presented here apply to multi-component BEC with any number of components [43,40,1,28,30], we concentrate here on two-component BEC for simplicity [28,29,42,33]. At temperatures T much smaller than the critical temperature T c [44,20], in the rotating frame, a two-component BEC with an external driving field can be well described by two self-consistent nonlinear Schrödinger equations (NLSEs), also known as coupled Gross-Pitaevskii equations (CGPEs) [32,22,37,36],…”

Section: Introductionmentioning

confidence: 99%

Analysis and efficient computation for the dynamics of two-component Bose-Einstein condensates

Bao¹

2008

Stationary and Time Dependent Gross-Pitaevskii Equations

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Abstract. In this paper, we review some recent results on the analysis and efficient computation for the dynamics of rotating two-component Bose-Einstein condensates (BECs). We begin with the three-dimensional (3D) coupled GrossPitaevskii equations (GPEs) with an angular momentum rotation term and an external driving field, show how to scale it into dimensionless form, reduce it to a 2D and 1D GPE in the limiting regime of strong anisotropic confinement and present its semiclassical scaling and geometric optics. Dynamic laws on the angular momentum expectation, density of each component, condensate widths and analytical solutions of stationary states with its center shifted from the trapping center are presented. In addition, efficient and accurate numerical methods for computing the dynamics of rotating two-component BEC are presented and some numerical results are reported to demonstrate the efficiency and accuracy of the numerical methods.

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“…The ability to create condensates mixture of two or more types of particles and vortex states in these more complex systems [11][12][13] has been implemented. The vortices in two-component BEC in trap have been studied theoretically in papers [14][15][16][17][18][19] and for the spatially homogeneous two-component case in papers [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Composite structure of vortices in two-component Bose-Einstein condensate

Ivashin

Poluektov

2015

Open Physics

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Abstract:In contrast to one-component Bose-Einstein condensate case, the vortices in two-component condensate can have various complicated structures. The vortices in a space-homogeneous Bose-Einstein condensate have been studied in this paper. It is shown that the vortex structure is described by three dimensionless parameters. This is totally different from the usual one-component condensate case, where an isolated vortex is described by a parameterless dimensionless equation. The two-component vortex structure strongly depends on the sign of "interaction" constant of the components. A few types of vortices with different qualitative structure are explored. We show that the "super-density vortices" can exist, when the "interaction" constant is positive. The "super-density vortices" have the near-axis density greater than the equilibrium density of a homogeneous space Bose-Einstein condensate. We also show that the vortices with opposite direction of the condensate component rotation near the axis and far off the axis can exist.

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Vortices in Multicomponent Bose–einstein Condensates

Cited by 257 publications

References 167 publications

Simulation of two-flavor symmetry-locking phases in ultracold fermionic mixtures

Simulation of two-flavor symmetry-locking phases in ultracold fermionic mixtures

Analysis and efficient computation for the dynamics of two-component Bose-Einstein condensates

Composite structure of vortices in two-component Bose-Einstein condensate

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