Phase separation of a two-component dipolar Bose-Einstein condensate in the quasi-one-dimensional and quasi-two-dimensional regime

Xi, Kui-Tian; Li, Jinbin; Shi, Dan

doi:10.1103/physreva.84.013619

Cited by 21 publications

(8 citation statements)

References 41 publications

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“…So far, most of the previous studies (including the aforementioned works) on dipolar BEC have been restricted to single- or multi-component system, where each component has a dipole moment. Very recently, the ground-state and rotational properties of a binary dipolar gas, wherein only one component possesses magnetic dipole moment, have drawn considerable attentions 35 36 37 38 39 . Typically, the half-quantum vortex chain phase and a half-quantum vortex molecule in such a binary (or two-component) dipolar gas with harmonic potential was studied in 36 , and the phase separation in the quasi-one- and quasi-two-dimensional regime was investigated in 37 .…”

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confidence: 99%

Exotic vortex lattices in a rotating binary dipolar Bose-Einstein condensate

Zhang

Wen

Dai

et al. 2016

Sci Rep

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In the last decade, considerable advances have been made in the investigation of dipolar quantum gases. Previous theoretical investigations of a rotating binary dipolar Bose-Einstein condensate, where only one component possesses dipole moment, were mainly focused on two special orientations of the dipoles: perpendicular or parallel to the plane of motion. Here we study the ground-state and rotational properties of such a system for an arbitrary orientation of the dipoles. We demonstrate the ground-state vortex structures depend strongly on the relative strength between dipolar and contact interactions and the rotation frequency, as well as on the orientation of the dipoles. In the absence of rotation, the tunable dipolar interaction can be used to induce the squeezing or expansion of the cloud, and to derive the phase transition between phase coexistence and separation. Under finite rotation, the system is found to exhibit exotic ground-state vortex configurations, such as kernel-shell, vortex necklace, and compensating stripe vortex structures. We also check the validity of the Feynman relation, and find no significant deviations from it. The obtained results open up alternate ways for the quantum control of dipolar quantum gases.

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confidence: 99%

Exotic vortex lattices in a rotating binary dipolar Bose-Einstein condensate

Zhang

Wen

Dai

et al. 2016

Sci Rep

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“…Since the transition metal has a magnetic dipole interaction while the alkali metal does not have, we take into account this factor in this system. We take Cr as component 1 and Rb as component 2 [10]. Then the GP equations for this system can be written as…”

Section: The Nonlocal Gross-pitaevskii Equationmentioning

confidence: 99%

A Time-Splitting and Sine Spectral Method for Dynamics of Dipolar Bose-Einstein Condensate

Li¹,

Li²,

Hua³

2013

Advances in Mathematical Physics

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A two-component Bose-Einstein condensate (BEC) described by two coupled a three-dimension Gross-Pitaevskii (GP) equations is considered, where one equation has dipole-dipole interaction while the other one has only the usual s-wave contact interaction, in a cigar trap. The time-splitting and sine spectral method in space is proposed to discretize the time-dependent equations for computing the dynamics of dipolar BEC. The singularity in the dipole-dipole interaction brings significant difficulties both in mathematical analysis and in numerical simulations. Numerical results are given to show the efficiency of this method.

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“…By applying small magnetic field one can manipulate the population of different spin components by tuning linear and quadratic Zeeman terms, thus producing rich phase diagrams characteristic to the system. This easy tunability of magnetic terms paved the way of growing interest of exploring phase transition [7], phase separation and domain formation of different stationary phases [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Many associated phenomena arise including excitation, instabilities and associated quasi-particles across phase boundaries [27,28].…”

Section: Introductionmentioning

confidence: 99%

A variational approach for the ground state profile of a trapped spinor-BEC: A detailed study of phase transition in spin-1 condensate at zero magnetic field

Kanjilal¹,

Bhattacharyay²

2021

Preprint

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The ground state of a spin-1 Bose-Einstein condensate is selected based on the most energetically stable stationary state. It is well known that for the homogeneous condensate linear and quadratic term plays an important role to lift the degeneracy among the stationary states, giving a rich phase diagram. In this article, we investigate the ground state in absence of linear and quadratic Zeeman terms under realistic trapping potential. The spin-dependent interaction strength plays a key role in favoring one of the stationary states to have the lowest energy and thus producing the ground state of the system. We notice that the Thomas-Fermi approximated results predict that for anti-ferromagnetic condensates the energy difference between the competing stationary states is really small, requiring further analysis considering the full profile of the condensate. Thus, for the purpose of further refining results, we introduce a variational method which provides the full number density profile of the condensate with very good accuracy even for small condensates in 3dimensional isotropic harmonic confinement as well as in effective 1-dimensional harmonic trapping. Then we compare all the relevant physical parameters with those of Thomas-Fermi results.

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Phase separation of a two-component dipolar Bose-Einstein condensate in the quasi-one-dimensional and quasi-two-dimensional regime

Cited by 21 publications

References 41 publications

Exotic vortex lattices in a rotating binary dipolar Bose-Einstein condensate

Exotic vortex lattices in a rotating binary dipolar Bose-Einstein condensate

A Time-Splitting and Sine Spectral Method for Dynamics of Dipolar Bose-Einstein Condensate

A variational approach for the ground state profile of a trapped spinor-BEC: A detailed study of phase transition in spin-1 condensate at zero magnetic field

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