Spotlighting phase separation in Rashba spin-orbit coupled Bose–Einstein condensates in two dimensions

Bhuvaneswari, S.; Nithyanandan, K.; Muruganandam, Paulsamy

doi:10.1088/2399-6528/aaa85e

Cited by 10 publications

(6 citation statements)

References 48 publications

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“…However, for Ω < k 2 L stripe wave will exist. We do not observe any zero momentum (ZM) phase for k L = 0 which was realized in one dimensional SO coupled BEC [53,54] and in two-dimensional BECs [29,55] with nonlinear contact interactions.…”

Section: Single-particle Spectrummentioning

confidence: 70%

Effect of Rashba spin-orbit and Rabi couplings on the excitation spectrum of binary Bose-Einstein condensates

Ravisankar,

Fabrelli,

Gammal

et al. 2021

Preprint

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We present the collective excitation spectrum analysis of binary Bose-Einstein condensates (BECs) with spin-orbit (SO) and Rabi couplings in a quasi-two-dimensional system. In particular, we investigate the role of SO and Rabi coupling strengths in determining the dynamical stability of the coupled BECs using Bogoliubov-de Gennes (BdG) theory. Using the eigenergy of BdG spectrum, we confirm the existence of phonon, roton, and maxon modes with weak repulsive intra-and interspecies contact interactions. The depth of the minimum corresponding to the roton mode depends strongly on the coupling strength. We find that the increase of the SO coupling leads to instability, while the increase in the Rabi coupling stabilizes the system. Also the eigenvectors of BdG spectrum indicates the presence of density like mode in the stable regime and spin like modes in unstable regimes. A phase diagram demonstrating the stability regime in the plane of SO and Rabi coupling strengths is obtained. Finally, we complement the observation of the excitation spectrum with the direct numerical simulation results of coupled Gross-Pitaevskii equations.

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Section: Single-particle Spectrummentioning

confidence: 70%

Effect of Rashba spin-orbit and Rabi couplings on the excitation spectrum of binary Bose-Einstein condensates

Ravisankar,

Fabrelli,

Gammal

et al. 2021

Preprint

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“…As we have seen in the last section, the total number density for the ferromagnetic and P M states vary in a similar fashion as shown in Eqs. (15,27). So for these states assuming T-F radius is R 1 ,…”

Section: A T-f Energy Comparison For Three Dimensional Isotropic Conf...mentioning

confidence: 98%

“…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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“…‡e fXÚ g^-; ÍÜÄk´3g^-1 87 Rb BEC XÚ¥|^üå.ù-1¢y, éA XÚ Ÿþ´ g^-1/2 XÚ. gÄg¢ ¢yg^-; ÍÜ BEC ±5 §ég^-1/2 BECXÚ®²k OEþïÄ, ¿uy ´L Ôny-, X^«ƒ [23] !ƒ©l [24] !µ^[ 25,26] , ‡ ƒ [27,28] . Óž, Š•;.…”

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Soliton solutions of the spin-orbit coupled binary Bose-Einstein condensate system

Li¹,

Qi²,

Zhao³

et al. 2023

Acta Phys. Sin.

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In a quantum system with spin, spin-orbit coupling is manifested by linking the spin angular momentum of a particle with its orbital angular momentum, which leads to many exotic phenomena. The experimental realization of synthetic spin-orbit coupling effects in ultra-cold atomic systems provides a completely new platform for exploring quantum simulations. In a spinor Bose-Einstein condensate, the spin-orbit coupling can change the properties of the system significantly, which offers a great opportunity to investigate the influence of spin-orbit coupling to the quantum state at the macroscopic level. As typical states of macroscopic quantum effects, solitons in spin-orbit coupled Bose-Einstein condensates can be manipulated by spin-orbit coupling directly, this makes the study on spin-orbit coupled Bose-Einstein condensates become one of the hottest topics in the research of ultracold atomic physics in recent years. This paper investigates exact vector soliton solutions of the Gross-Pitaevskii equation for the one-dimensional spin-orbit coupled binary Bose-Einstein condensates, which has four parameters μ,δ,α and β, where μ denotes the strength of the spin-orbit coupling, δ is the detuning parameter,α and β are the parameters of the self-and cross-interaction, respectively. For the case β=α, by a direct ansatz, two kinds of stripe solitons, namely, the oscillating dark-dark solitons are obtained; meanwhile, a transformation is presented such that from the solutions of the integrable Manakov system, one can get soliton solutions for the spin-orbit coupled Gross-Pitaevskii equation. For the case β=3α, a bright-W type soliton for α>0 and a kink-antikink type soliton for α<0 are presented. It is found that the relation between μ and δ can affect the states of the solitons. Based on these solutions, the corresponding dynamics and the impact of the spin-orbit coupling effects on the quantum magnetization and spin-polarized domains are discussed. Our results show that spin-orbit coupling can result in rich kinds of soliton states in the two-component Bose gases, including the stripe solitons as well as the classical non-stripe solitons, and various kinds of multi-solitons. Furthermore, spin-orbit coupling has remarkable influence on the behaviors of quantum magnetization. In the experiments of Bose-Einstein condensates, there have been many different methods to observe the soliton states of the population distribution, the magnetic solitons, and the spin domains, so our results provide some possible options for the related experiments.

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Spotlighting phase separation in Rashba spin-orbit coupled Bose–Einstein condensates in two dimensions

Cited by 10 publications

References 48 publications

Effect of Rashba spin-orbit and Rabi couplings on the excitation spectrum of binary Bose-Einstein condensates

Effect of Rashba spin-orbit and Rabi couplings on the excitation spectrum of binary Bose-Einstein condensates

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

Soliton solutions of the spin-orbit coupled binary Bose-Einstein condensate system

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