Transition to the giant vortex state in a harmonic-plus-quartic trap

Fu, Han; Zaremba, E.

doi:10.1103/physreva.73.013614

Cited by 44 publications

(35 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…III) the limit s → +∞ cannot be interchanged with the TF limit ε → 0, which is the basis of most rigorous treatments of the GP theory, including the present one. Provided the confining potential is stronger than quadratic, i.e., s > 2, one can distinguish three critical speeds at which major phase transitions occur in the BEC (references in the literature concerning these phenomena include [CD,Fe2,FB,FJS,FZ,KTU,KB,KF]):…”

Section: )mentioning

confidence: 99%

Critical rotational speeds for superfluids in homogeneous traps

Correggi

Pinsker

Rougerie

et al. 2012

Journal of Mathematical Physics

View full text Add to dashboard Cite

We present an asymptotic analysis of the effects of rapid rotation on the ground state properties of a superfluid confined in a two-dimensional trap. The trapping potential is assumed to be radial and homogeneous of degree larger than two in addition to a quadratic term. Three critical rotational velocities are identified, marking respectively the first appearance of vortices, the creation of a 'hole' of low density within a vortex lattice, and the emergence of a giant vortex state free of vortices in the bulk. These phenomena have previously been established rigorously for a 'flat' trap with fixed boundary but the 'soft' traps considered in the present paper exhibit some significant differences, in particular the giant vortex regime, that necessitate a new approach. These differences concern both the shape of the bulk profile and the size of vortices relative to the width of the annulus where the bulk of the superfluid resides. Close to the giant vortex transition the profile is of Thomas-Fermi type in 'flat' traps, whereas it is gaussian for soft traps, and the 'last' vortices to survive in the bulk before the giant vortex transition are small relative to the width of the annulus in the former case but of comparable size in the latter.MSC: 35Q55,47J30,76M23. PACS: 03.75.Hh, 47.37.+q.

show abstract

Section: )mentioning

confidence: 99%

Critical rotational speeds for superfluids in homogeneous traps

Correggi

Pinsker

Rougerie

et al. 2012

Journal of Mathematical Physics

View full text Add to dashboard Cite

show abstract

“…The transition from a vortex lattice to a giant vortex phase in anharmonic traps has been studied by various methods over the past 10 years, e.g., in [22][23][24][25][26][27], and was recently established with full mathematical rigor (see [15] for references). We stress, however, that this transition is physically and mathematically quite different from the one studied here.…”

Section: Introductionmentioning

confidence: 99%

Quantum Hall states of bosons in rotating anharmonic traps

2013

View full text Add to dashboard Cite

We study a model of bosons in the lowest Landau level in a rotating trap where the confinement potential is a sum of a quadratic and a quartic term. The quartic term improves the stability of the system against centrifugal deconfinement and allows to consider rotation frequencies beyond the frequency of the quadratic part. The interactions between particles are modeled by a Dirac delta potential. We derive rigorously conditions for ground states of the system to be strongly correlated in the sense that they are confined to the kernel of the interaction operator, and thus contain the correlations of the Bose-Laughlin state. Rigorous angular momentum estimates and trial state arguments indicate a transition from a pure Laughlin state to a state containing in addition a giant vortex at the center of the trap (Laughlin quasi-hole). There are also indications of a second transition where the density changes from a flat profile in a disc or an annulus to a radial Gaussian confined to a thin annulus

show abstract

“…The weak link alters the local critical velocity affecting the current in the ring, and forms a closedloop atom circuit with applications in atomtronics [26]. In annular geometry, many-vortex states such as a circular array of vortex-antivortex pairs can also be produced via the snake instability of a ring dark soliton [27][28][29], whose subsequent vortex dynamics has been studied in a circular container [30,31], and in a harmonic plus quartic trap [32,33]. It was found that when the BEC is rotated sufficiently rapidly, an annular geometry with a vortex lattice that evolves into a ring of vortices can emerge [33].…”

Section: Introductionmentioning

confidence: 99%

Analytic vortex dynamics in an annular Bose-Einstein condensate

Toikka

Suominen

2016

Phys. Rev. A

View full text Add to dashboard Cite

We consider analytically the dynamics of an arbitrary number and configuration of vortices in an annular Bose-Einstein condensate obtaining expressions for the free energy and vortex precession rates to logarithmic accuracy. We also obtain lower bounds for the lifetime of a single vortex in the annulus. Our results enable a closed-form analytic treatment of vortex-vortex interactions in the annulus that is exact in the incompressible limit. The incompressible hydrodynamics that is developed here paves the way for more general analytical treatments of vortex dynamics in nonsimply connected geometries.

show abstract

Transition to the giant vortex state in a harmonic-plus-quartic trap

Cited by 44 publications

References 12 publications

Critical rotational speeds for superfluids in homogeneous traps

Critical rotational speeds for superfluids in homogeneous traps

Quantum Hall states of bosons in rotating anharmonic traps

Analytic vortex dynamics in an annular Bose-Einstein condensate

Contact Info

Product

Resources

About