Vortex Phase Diagram in Rotating Two-Component Bose-Einstein Condensates

Kasamatsu, Kenichi; Tsubota, Makoto; Ueda, Masahito

doi:10.1103/physrevlett.91.150406

Cited by 228 publications

(286 citation statements)

References 24 publications

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“…The mean-field phase diagram for parallel magnetic fields is known [18,19] and summarized as follows. When g ↑↓ = 0, each component independently forms a triangular vortex lattice.…”

Section: Mean-field Theory For Large Filling Factorsmentioning

confidence: 99%

“…We determine the ground-state (GS) phase diagram in the space of the total filling factor Within the Gross-Pitaevskii mean-field theory, a large-νtot region exhibits the same vortex phase diagram as in the case of parallel magnetic fields studied previously [18,19]. For small νtot, however, (fractional) quantum spin Hall (QSH) states composed of a pair of nearly independent quantum Hall states (Laughlin, composite fermion, and Moore-Read states) appear over wide ranges of g ↑↓ /g (see horizontal bars) in dramatic contrast to the case of parallel magnetic fields where SU(2)-symmetric quantum Hall states emerge for g ↑↓ ≈ g at νtot = 4/3 [20][21][22]25] and 2 [23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

“…Examples include a bosonic Laughlin state at ν = 1/2 [14], a composite fermion state at ν = 2/3 [15], and a MooreRead Pfaffian state [16] at ν = 1 [17]. The coupling between two Bose gases in parallel magnetic fields leads to an even richer variety of phases as studied in both regimes of vortex lattices [18,19] and QH states [20][21][22][23][24][25][26]. We will make comparisons between the cases of parallel and antiparallel magnetic fields in the course of our analyses.…”

Section: Introductionmentioning

confidence: 99%

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Global phase diagram of two-component Bose gases in antiparallel magnetic fields

Furukawa

Ueda

2014

Phys. Rev. A

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We study the ground-state phase diagram of two-dimensional two-component (or pseudospin-1 2 ) Bose gases in mutually antiparallel synthetic magnetic fields in the space of the total filling factor and the ratio of the intercomponent coupling g ↑↓ to the intracomponent one g > 0. This time-reversalinvariant setting represents a bosonic analogue of spin Hall systems. Using exact diagonalization, we find that (fractional) quantum spin Hall states composed of a pair of nearly independent quantum Hall states are remarkably robust and persist for g ↑↓ up to as large as g. For g ↑↓ = −g, we find the exact many-body ground state in which particles in different spin states form pairs. This gives the exact critical line beyond which the system collapses.

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“…The mean-field phase diagram for parallel magnetic fields is known [18,19] and summarized as follows. When g ↑↓ = 0, each component independently forms a triangular vortex lattice.…”

Section: Mean-field Theory For Large Filling Factorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Global phase diagram of two-component Bose gases in antiparallel magnetic fields

Furukawa

Ueda

2014

Phys. Rev. A

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“…Two-component mixtures of trapped cold atoms experiencing BEC and superfluidity have been the subject of various experimental and theoretical studies [58][59][60][61]. The Hamiltonian of two-component Bose systems includes three terms corresponding to each type of interaction in the system: two terms for the interaction of bosons of the same species, and one term for the interaction of bosons of different species.…”

Section: Introductionmentioning

confidence: 99%

High-temperature superfluidity of the two-component Bose gas in a transition metal dichalcogenide bilayer

Berman

Kezerashvili

2016

Phys. Rev. B

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The high-temperature superfluidity of two-dimensional dipolar excitons in two parallel TMDC layers is predicted. We study Bose-Einstein condensation in the two-component system of dipolar A and B excitons. The effective mass, energy spectrum of the collective excitations, the sound velocity and critical temperature are obtained for different TMDC materials. It is shown that in the Bogolubov approximation the sound velocity in the two-component dilute exciton Bose gas is always larger than in any one-component. The difference between the sound velocities for two-component and one-component dilute gases is caused by the fact that the sound velocity for a two-component system depends on the reduced mass of A and B excitons, which is always smaller than the individual mass of A or B exciton. Due to this fact, the critical temperature Tc for superfluidity for the twocomponent exciton system in a TMDC bilayer is about one order of magnitude higher than Tc in any one-component exciton system. We propose to observe the superfluidity of two-dimensional dipolar excitons in two parallel TMDC layers, which causes two opposite superconducting currents in each TMDC layer.

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“…In addition, the more recent realization of atomic-gas BECs have allowed us to visualize and control the dynamics of vortices, such that the quantum Hall state with a very high density of vortices may soon be reached [70,71,72]. Unconventional vortices in multicomponent BECs [78] is another area that will likely produce new and interesting results. Given the recent history of rapid developments in these fields, even more unexpected phenomena are likely to emerge in the future.…”

Section: Discussionmentioning

confidence: 99%

Dynamics of Quantized Vortices in Superfluid Helium and Rotating Bose-Einstein Condensates

Tsubota

Kasamatsu

2005

J Low Temp Phys

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In this article, we review the research on the dynamics of quantized vortices in superfluid helium and rotating Bose-Einstein condensates with emphasis on the recent research done by our group. A quantized vortex is a topological defect that arises from the order parameter in Bose-Einstein condensation in which frictionless superfluid flows with quantized circulation around each vortex.A quantized vortex was both predicted and discovered first in superfluid 4 He which was the first example of a Bose-Einstein condensate. Quantized vortices have been thoroughly studied in superfluid 4 He; one of the principal problems was the superfluid turbulent state consisting of a tangle of quantized vortices in thermal counterflow. More recently, the interest has shifted to the nature of superfluid turbulence, apart from the case of counterflow. After briefly reviewing the earlier research and describing the current problems, we focus our review on superfluid turbulence and vortex filament dynamics. One of the important problems is how superfluid turbulence relates to classical turbulence. Superfluid turbulence was recently shown to have an energy spectrum consistent with the Kolmogorov law, which is an important statistical law in fully developed classical turbulence. We also describe the diffusion of an inhomogeneous vortex tangle with relation to the observed decay of vortices at very low temperatures where the normal fluid component is so negligible that the usual mutual friction does not work as a decay mechanism. In connection to the above discussion of groups of vortices, we describe the vortex states that appear in a rotating channel with counterflow. Rotational effects cause the vortices to form ordered arrays, whereas counterflow effects tend to cause disordered vortex tangles; the competition of these two effects makes a new state of "a polarized vortex tangle" which opens up superfluid phase diagrams as a new area of study.In the specific field of atomic-gas Bose-Einstein condensation, we discuss recent numerical analysis of the Gross-Pitaevskii equation that describes the structure and dynamics of the order parameter. Consistent with observations, the simulated condensate starts an elliptic oscillation after the rotation is turned on, which induces the surface-mode excitations. The vortices develop from these surface excitations and then enter the bulk condensate, eventually forming a vortex lattice. When a condensate is held in a quadratic-plus-quartic combined potential, the fast rotation makes "a giant vortex" in which most vortices are absorbed into a central hole around which the superflow circulates.

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Vortex Phase Diagram in Rotating Two-Component Bose-Einstein Condensates

Cited by 228 publications

References 24 publications

Global phase diagram of two-component Bose gases in antiparallel magnetic fields

Global phase diagram of two-component Bose gases in antiparallel magnetic fields

High-temperature superfluidity of the two-component Bose gas in a transition metal dichalcogenide bilayer

Dynamics of Quantized Vortices in Superfluid Helium and Rotating Bose-Einstein Condensates

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