Zero-momentum coupling induced transitions of ground states in Rashba spin–orbit coupled Bose–Einstein condensates

Jin, Jingjing; Zhang, Suying; Han, Wei

doi:10.1088/0953-4075/47/11/115302

Cited by 11 publications

(31 citation statements)

References 40 publications

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“…In Ref. [49], transitions of ground states, induced by the zero-momentum coupling in the Rashba-SO-coupled BEC with pseudospin 1/2, were investigated in the presence of the confining HO potential. Fragmentation of SO-coupled spinor BEC was studied in Ref.…”

Section: Introductionmentioning

confidence: 99%

Localized modes in quasi-two-dimensional Bose-Einstein condensates with spin-orbit and Rabi couplings

2014

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We consider a two-component pancake-shaped, i.e., effectively two-dimensional (2D), Bose-Einstein condensate coupled by the spin-orbit (SO) and Rabi terms. The SO coupling adopted here is of the mixed Rashba-Dresselhaus type. For this configuration, we derive a system of two 2D nonpolynomial Schrödinger equations (NPSEs), for both attractive and repulsive interatomic interactions. In the low- and high-density limits, the system amounts to previously known models, namely, the usual 2D Gross-Pitaevskii equation, or the Schrödinger equation with the nonlinearity of power 7/3. We present simple approximate localized solutions, obtained by treating the SO and Rabi terms as perturbations. Localized solutions of the full NPSE system are obtained in a numerical form. Remarkably, in the case of the attractive nonlinearity acting in free space (i.e., without any 2D trapping potential), we find parameter regions where the SO and Rabi couplings make 2D fundamental solitons dynamically stable

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Section: Introductionmentioning

confidence: 99%

Localized modes in quasi-two-dimensional Bose-Einstein condensates with spin-orbit and Rabi couplings

2014

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“…We consider a pseudospin-1/2 Bose-Einstein condensates, with Rashba spin-orbit and Rabi couplings trapped under a harmonic potential with strong axial confinement. The properties of such a SO coupled BECs can be described by a set of coupled Gross-Pitaevskii (GP) equations in dimensionless form as [29,33]:…”

Section: Mean-field Model and Numerical Simulation Detailsmentioning

confidence: 99%

“…However, under the influence of a strong harmonic trap with zero Rabi coupling vortex pairs can be formed for each component, which gets organized on honeycomb vortex-antivortex (VA) lattice. This configuration leads to three kinds of spin textures: up HQV, down HQV and spin-2 textures [33]. Sinha et al showed that interplay between the SO coupling and mean-field nonlinearity in trapped 2D SO coupled BECs leads to the formation of vortex lattice and vortex stripe configuration even in the absence of external angular momentum [34].…”

Section: Introductionmentioning

confidence: 99%

Influence of Rashba spin-orbit and Rabi couplings on the miscibility and ground state phases of binary Bose-Einstein condensates

Ravisankar,

Sriraman,

Kumar

et al. 2021

Preprint

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We study the miscibility properties and ground state phases of two-component spin-orbit (SO) coupled Bose-Einstein condensates (BECs) in a harmonic trap with strong axial confinement. By numerically solving the coupled Gross-Pitaevskii equations in the two-dimensional setting, we analyze the SO-coupled BECs for two possible permutations of the intra-and interspecies interactions, namely (i) weak intra-and weak interspecies interactions (W-W) and (ii) weak intra-and strong interspecies interactions (W-S). Considering the density overlap integral as a miscibility order parameter, we investigate the miscible-immiscible transition by varying the coupling parameters. We obtain various ground state phases, including plane wave, half quantum vortex, elongated plane wave, and different stripe wave patterns for W-W interactions. For finite Rabi coupling, an increase in SO coupling strength leads to the transition from the fully miscible to the partially miscible state. We also characterize different ground states in the coupling parameter space using the root mean square sizes of the condensate. The spin density vector for the ground state phases exhibits density, quadrupole and dipole like spin polarizations. For the W-S interaction, in addition to that observed in the W-W case, we witness semi vortex, mixed mode, and shell-like immiscible phases. We notice a wide variety of spin polarizations, such as density, dipole, quadrupole, symbiotic, necklace, and stripe-like patterns for the W-S case. A detailed investigation in the coupling parameter space indicates immiscible to miscible state phase transition upon varying the Rabi coupling for a fixed Rashba SO coupling. The critical Rabi coupling for the immiscible-miscible phase transition decreases upon increasing the SO coupling strength.

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“…It is straightforward to note that the energy spectrum is a simple free-particle parabolic dispersion, indicating the existence of non-degenerate single-point lowest energy ground state. Figure 1(b) is the case with only Rashba SO coupling and the single-particle energy spectrum consists of ring of infinitely degenerate lowest energy states in momentum space, which is typically identified as Rashba ring [24,31,32].…”

Section: The Model Equationmentioning

confidence: 99%

“…The particular feature of the Rashba type SO coupling is the existence of infinite degeneracy in the minima of single particle energy spectrum in the momentum space [24,31,32]. The system also admits two kinds of phases namely, the plane wave (PW) phase and the stripe wave phase (SW) as a consequence of the competition between the inter-and intra-component interaction.…”

Section: Introductionmentioning

confidence: 99%

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

2018

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We study the system of spin-orbit (SO) coupled Bose-Einstein condensates (BEC) with Rabi coupling in quasi-two dimensions characterized by unequal Rashba and Dresselhaus couplings. The ground state properties and the phase diagram of the system are studied within the mean-field approximation at T=0. The energy-momentum dispersion relation corresponding to the single-particle ground state exhibits an infinitely degenerate Rashba ring, whose degeneracy is destroyed by the Rabi coupling, leading to a single-point lowest energy. The effect of Rabi coupling and interaction in the system show up three different phases, namely stripe, plane wave and zero momentum phase. At a particular parametric condition, the system admits a critical point separating all three different phases, known as the tri-critical point. For further insight, the momentum distribution, the energy and the longitudinal/transverse spin polarization corresponding to the quantum phases are comprehensively discussed.

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Zero-momentum coupling induced transitions of ground states in Rashba spin–orbit coupled Bose–Einstein condensates

Cited by 11 publications

References 40 publications

Localized modes in quasi-two-dimensional Bose-Einstein condensates with spin-orbit and Rabi couplings

Localized modes in quasi-two-dimensional Bose-Einstein condensates with spin-orbit and Rabi couplings

Influence of Rashba spin-orbit and Rabi couplings on the miscibility and ground state phases of binary Bose-Einstein condensates

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

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