Structure and dynamics of a rotating superfluid Bose-Fermi mixture

Wen, Liu; Li, Jinghong

doi:10.1103/physreva.90.053621

Cited by 29 publications

(19 citation statements)

References 61 publications

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“…(13) and ζ = ζ b − ζ f , we see from Eq (17),. that the Bose-coordinate ζ b and the Fermi-coordinate ζ f both have the two common frequencies ω 0,b, f andω b, f ; see Figs.…”

mentioning

confidence: 86%

“…Recently, the two-species superfluid 6 Li-41 K and 6 Li-176 Yb has been experimentally realized [11,12]. Among the new effects predicted for mixtures of Bose-Fermi superfluids we mention the existence of vortices in a rotating quasi-two-dimensional Fermi-Bose mixtures [13], Faraday waves [14], a prediction of the existence of super-counter-fluid phase [15], the existence of dark-bright solitons [16], and the multiple periodic domain formation [17]. Collective oscillations of the Fermi-Bose mixtures for different settings has earlier been analyzed in Refs.…”

Section: Introductionmentioning

confidence: 94%

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Collective dynamics of Fermi-Bose mixtures with an oscillating scattering length

Abdullaev

Ögren

Sørensen³

2019

Phys. Rev. A

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“…(13) and ζ = ζ b − ζ f , we see from Eq (17),. that the Bose-coordinate ζ b and the Fermi-coordinate ζ f both have the two common frequencies ω 0,b, f andω b, f ; see Figs.…”

mentioning

confidence: 86%

Section: Introductionmentioning

confidence: 94%

Collective dynamics of Fermi-Bose mixtures with an oscillating scattering length

Abdullaev

Ögren

Sørensen³

2019

Phys. Rev. A

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“…To obtain the ground state of the system, we numerically calculate the coupled Gross-Pitaevskii (GP) equations by using standard imaginarytime propagation method. 26,48) The results show that one can obtain the desired ground-state phases by controlling the DDI strength and SOC strength and regulating the phase transition between different ground states. In addition, we find that the system supports rich topological structures and exotic spin textures which are expected to be observed in the future coldatom experiments.…”

Section: Introductionmentioning

confidence: 97%

Ground States of Dipolar Spin–Orbit-Coupled Bose–Einstein Condensates in a Toroidal Trap

2019

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We investigate the ground-state structures of dipolar spin-orbit-coupled Bose-Einstein condensates in a toroidal trap. Combined effects of dipole-dipole interaction (DDI) and spin-orbit coupling (SOC) on the ground states of the system are discussed. A ground-state phase diagram is obtained as a function of the SOC and DDI strengths. As two new degrees of freedom, the DDI and SOC can be used to obtain the desired ground-state phases and to control the phase transition between various ground states. In particular, the system displays exotic topological structures and spin textures, such as half-quantum vortex, vortex string, vortex necklace, complex vortex lattice including giant vortex and hidden antivortex chains, different skyrmions, meron (half-skyrmion)-antimeron (half-antiskyrmion) necklace, and composite meron-antimeron lattice.

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“…The recent experimental realization of a mixture of Bose and Fermi superfluids in ultracold atoms has generated much interest in the properties of this new state of matter [1][2][3][4][5][6], and led to a surge of theoretical activity [7][8][9][10][11][12][13][14][15][16][17][18]. Collective excitations that characterize a system's response to small perturbations constitute one of the main sources of information for understanding the physics of many-body systems [19,20].…”

Section: Introductionmentioning

confidence: 99%

Collective oscillation modes of a superfluid Bose–Fermi mixture

Wen

Wang

2019

New J. Phys.

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In this work, we present a theoretical study for the collective oscillation modes, i.e. quadrupole, radial and axial mode, of a mixture of Bose and Fermi superfluids in the crossover from a Bardeen-Cooper-Schrieffer (BCS) superfluid to a molecular Bose-Einstein condensate (BEC) in harmonic trapping potentials with cylindrical symmetry of experimental interest. To this end, we start from the coupled superfluid hydrodynamic equations for the dynamics of Bose-Fermi superfluid mixtures and use the scaling theory that has been developed for a coupled system. The collective oscillation modes of Bose-Fermi superfluid mixtures are found to crucially depend on the overlap integrals of the spatial derivations of density profiles of the Bose and Fermi superfluids at equilibrium. We not only present the explicit expressions for the overlap density integrals, as well as the frequencies of the collective modes provided that the effective Bose-Fermi coupling is weak, but also test the valid regimes of the analytical approximations by numerical calculations in realistic experimental conditions. In the presence of a repulsive Bose-Fermi interaction, we find that the frequencies of the three collective modes of the Bose and Fermi superfluids are all upshifted, and the change speeds of the frequency shifts in the BCS-BEC crossover can characterize the different groundstate phases of the Bose-Fermi superfluid mixtures for different trap geometries. superfluid mixtures of 7 Li-6 Li [1, 2], 41 K-6 Li [6], and 174 Yb-6 Li [5], and the Bose-Fermi interaction gives rise to a rich behavior. In the presence of a repulsive Bose-Fermi interaction, the frequencies of the dipole oscillations of the Bose and Fermi superfluids are both downshifted in the weakly confined direction [1,5,6], and the frequency shifts increase monotonically from the BCS side to the BEC side [48,49]. In contrast, the frequency in the tight confinement for the Bose superfluid is upshifted, whereas the frequency for the Fermi superfluid is still downshifted [6]. The frequency shifts show non-monotonic and resonantlike behaviors in both directions around the BCS side [6], which may be originated from the effects of fermionic pairs breaking [50].It is naturally to ask how Bose-Fermi interaction affects the collective modes of Bose and Fermi superfluids in the BCS-BEC crossover, which is of great interest recently. However, a theoretical study for the collective oscillation modes of Bose-Fermi superfluid mixtures in a realistic experimental situation is highly nontrivial. In this work, to study quadrupole, radial and axial modes in cylindrically symmetric traps, we start from the coupled superfluid hydrodynamic equations describing the dynamics of the Bose-Fermi superfluid mixtures. The scaling method for coupled systems is then applied, and the eigenvalue equations for the coupled collective modes are obtained, which are crucially sensitive to the overlap integrals of the spatial derivations of the Bose and Fermi densities at groundstate. To present the explicit expressio...

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Structure and dynamics of a rotating superfluid Bose-Fermi mixture

Cited by 29 publications

References 61 publications

Collective dynamics of Fermi-Bose mixtures with an oscillating scattering length

Collective dynamics of Fermi-Bose mixtures with an oscillating scattering length

Ground States of Dipolar Spin–Orbit-Coupled Bose–Einstein Condensates in a Toroidal Trap

Collective oscillation modes of a superfluid Bose–Fermi mixture

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