Interspecies singlet pairing in a mixture of two spin-1 Bose condensates

Zhang, Jie; Li, Tiantian; Zhang, Yunbo

doi:10.1103/physreva.83.023614

Cited by 11 publications

(4 citation statements)

References 39 publications

(89 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We have solved the CGP numerically to obtain the solutions for 2-species spin-1 BEC, and we have derived and calculated the probabilities m P X and mn P AB extracted from the solutions. We have confirmed that the previous results under the SMA are qualitatively correct [8,14], and we have demonstrated that the spin-textures and the spin-transition can be identified via the observation of the probabilities. The following points are reminded.…”

Section: Discussionsupporting

confidence: 88%

See 1 more Smart Citation

Variation of the spin textures of 2-species spin-1 condensates studied beyond the single spatial mode approximation and the experimental identification of these textures

He¹,

Liu

Bao

2019

Phys. Scr.

View full text Add to dashboard Cite

Based on the numerical solutions of the coupled Gross-Pitaevskii equations, the spin-textures of a Bose-Einstein condensate with two kinds of spin-1 atoms have been studied. Besides, the probability densities of an atom in spin component µ and of two correlated atoms one in µ and one in ν have been calculated. By an analysis of the densities, four types of texture have been found. (i) Both species are in polar phase. (ii) Both species are in ferromagnetic (f) phase with all the spins lying along a direction. (iii) Both species are in f phase but the spins of different species are lying along opposite directions. (iv) One species in f phase, one species in quasi-f phase (where the spins are divided into two groups lying along opposite directions). This finding simplifies the previous classification. Moreover, we found that the variation and transition of the spin-textures can be sensitively reflected by these probability densities. Therefore, the theoretical and experimental studies on these densities provide a way to discriminate the spin-textures and/or to determine the parameters (say, the strengths of interaction) involved.

show abstract

Section: Discussionsupporting

confidence: 88%

“…Due to the influence of the spin-dependent interspecies interactions, the spin-textures of 2-species S-BEC become more complicated. These textures have been studied by a number of authors [7][8][9][10][11][12][13][14][15] . In the previous study the single spatial mode approximation has been adopted.…”

Section: Introductionmentioning

confidence: 99%

Variation of the spin textures of 2-species spin-1 condensates studied beyond the single spatial mode approximation and the experimental identification of these textures

He¹,

Liu

Bao

2019

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…In the p-phase the spins of atom are two-by-two coupled to zero to form the singlet pairs (s-pair), and the total spin of the condensate S = 0. In the f -phase all the spins are fully polarized, i.e., lying along a common direction, and S = N. For 2-species BEC it was found in [7][8][9][10][11][12][13][14][15][16][17] that there are three types of spin-textures, namely, (i) the p+p texture where both species are in p-phase; (ii) the f // f texture where both species are in f -phase, and the two total spins (each for a species) are lying either parallel or antiparallel to each other; and (iii) the f //q texture where one in f -phase and one in quasi-ferromagnetic phase (q-phase, a mixture of aligned spins and s-pairs).…”

Section: Introductionmentioning

confidence: 99%

Spin-structures of the Bose-Einstein condensates with three kinds of spin-1 atoms

Liu

Bao

2020

Sci Rep

View full text Add to dashboard Cite

We have performed a quantum mechanic calculation (including solving the coupled Gross-Pitaevskii equations to obtain the spatial wave functions, and diagonalizing the spin-dependent Hamiltonian in the spin-space to obtain the total spin state) together with an analytical analysis based on a classical model. Then, according to the relative orientations of the spins S A , S B and S C of the three species, the spin-textures of the ground state can be classified into two types. In Type-I the three spins are either parallel or anti-parallel to each others, while in Type-II they point to different directions but remain to be coplanar. Moreover, according to the magnitudes of S A , S B and S C the spin-textures can be further classified into four kinds, namely, p+p+p (all atoms of each species are in singlet-pairs), one species in f (fully polarized) and two species in q (a mixture of polarized atoms and singlet-pairs), two in f and one in q, and f + f + f . Other combinations are not allowed. The scopes of the parameters that supports a specific spin-texture have been specified. A number of spin-texture-transitions have been found. For Type-I, the critical values at which a transition takes place are given by simple analytical formulae, therefore these values can be predicted.• From the experience of 2-species BEC, the spin-textures are seriously affected by the compactness of the spatial wave functions (i.e., ϕ 4 A dr and ϕ 4 B dr) and the overlap (i.e., ϕ 2 A ϕ 2 B dr). For 3-species BEC, ϕ 4 J dr (J = A, B,C) and ϕ 2 J ϕ 2 J ′ dr are believed to be also important. Therefore, we solve the coupled Gross-Pitaevskii equations (CGP) under the Thomas-Fermi approximation (TFA) to obtain the spatial wave functions. It is well known that the TFA cannot correctly describe the tails of the wave functions. However, when the particle numbers are huge, the gross feature given by the TFA is good. Since only the gross feature is concerned, the TFA is acceptable.• Let S J be the total spin of the J-species. When the singlet-pairing force has been neglected, the three {S J } together with the total spin S of the mixture are good quantum numbers is the total spin-states Ξ. Ξ is obtained via a diagonalization of the Hamiltonian in the spin-space. In order to extract physical features from Ξ, in addition to the good quantum numbers, the averaged anglesθ JJ ′ between S J and S J ′ have also been calculated. Thereby various types of spin-textures specified by {S J } and {θ JJ ′ } can be identified. and the transitions among them are found.• In addition to the above quantum mechanic (QM) calculation, a corresponding classical model has been proposed and solved analytically. The results from the model are checked via a comparison with those from QM calculation. This model helps greatly to understand the complicated 3-species spin-textures Hamiltonian and the ground stateWe consider that the condensate is a mixture of three kinds of spin-1 atoms with particle numbers N J (J = A, B or C), and they are trapped by isotropic and harmonic potenti...

show abstract

“…In such two-species system the spin-dependent inter-species interaction can induce various types of spin-changing processes for two different atoms, i.e., the spin-mixing processes A 0 + B 0 A ±1 + B ∓1 as well as the spin-exchanging processes A 0 + B ±1 A ±1 + B 0 and A +1 + B −1 A −1 + B +1 , where A and B denote the atomic species and the subscript 0, ±1 denotes the atomic magnetic quantum number, as above. These processes can induce coherent het- * pengzhang@ruc.edu.cn eronuclear spin dynamics [27,28] and significantly influence the quantum phases of the two-species spin-1 BEC [29][30][31][32][33][34]. In the experiments one can control most of the above spin-changing processes via the bias magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Laser Control of Singlet-Pairing Process in an Ultracold Spinor Mixture

Jie,

Yu,

Wang

et al. 2020

Preprint

View full text Add to dashboard Cite

In the mixture of ultracold spin-1 atoms of two different species A and B (e.g., 23 Na (A) and 87 Rb (B)), inter-species singlet-pairing process A+1 + B−1 A−1 + B+1 can be induced by the spindependent inter-atomic interaction, where subscript ±1 denotes the magnetic quantum number. Nevertheless, one cannot isolate this process from other spin-changing processes by tuning the bias real magnetic field. As a result, so far the singlet-pairing process have not been clearly observed in the experiments, and the measurement of the corresponding interaction strength becomes difficult.In this work we propose to control the singlet-pairing process via combining the real magnetic field and a laser-induced species-dependent synthetic magnetic field. With our approach one can significantly enhance this process and simultaneously supperess all other spin-changing processes. We illustrate our approach for both a confined two-atom system and a binary mixture of spinor Bose-Einstein condensates. Our control scheme is helpful for the precise measurement of the weakly singlet-pairing interaction strength and the entanglement generation of two different atoms.

show abstract

Interspecies singlet pairing in a mixture of two spin-1 Bose condensates

Cited by 11 publications

References 39 publications

Variation of the spin textures of 2-species spin-1 condensates studied beyond the single spatial mode approximation and the experimental identification of these textures

Variation of the spin textures of 2-species spin-1 condensates studied beyond the single spatial mode approximation and the experimental identification of these textures

Spin-structures of the Bose-Einstein condensates with three kinds of spin-1 atoms

Laser Control of Singlet-Pairing Process in an Ultracold Spinor Mixture

Contact Info

Product

Resources

About