Quenching dynamics of the bright solitons and other localized states in spin–orbit coupled Bose–Einstein condensates

Ravisankar, Rajamanickam; Sriraman, Thangarasu; Salasnich, Luca; Muruganandam, Paulsamy

doi:10.1088/1361-6455/aba661

Cited by 15 publications

(16 citation statements)

References 76 publications

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“…Note that the symmetric nature of the density plots become more pronounced at Ω = 2.5. This behaviour has also been found in recent numerical studies [32,59,68]. In the following section we explore the effect of couplings on the miscibility state of the condensates.…”

Section: Different Ground State Phasessupporting

confidence: 79%

“…Generally, in the experiment two internal hyperfine states |F = 1, m F = −1 and |F = 1, m F = 0 are considered which can be attributed, respectively, to the pseudo-spin up |↑ , and pseudo-spin down |↓ states of our model. These two spin states have equal number of atoms, and their intra-and interspecies interaction strengths can be controlled by tuning s-wave scattering lengths through Feshbach resonance [45,46] and by varying the magnetic field [33,58,59]. Following the experiment we set a ↑↑ = a ↓↓ = a ↑↓ = 0.43a 0 (a 0 is the Bohr radius) which gives the dimensionless interaction strengths as α = β ≈ 1.…”

Section: Mean-field Model and Numerical Simulation Detailsmentioning

confidence: 99%

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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

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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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Section: Different Ground State Phasessupporting

confidence: 79%

Section: Mean-field Model and Numerical Simulation Detailsmentioning

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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“…Numerical simulations have played an important role in unravelling different interesting phases in coupled BECs. The stability and dynamics of matter-wave bright and dark solitons in one-dimensional SO coupled BECs have been investigated quite extensively using coupled Gross-Pitaevskii equations (GPEs) [26][27][28]. In two dimension Rashba SO coupled BECs with weak harmonic trap exhibits plane and stripe wave phases while under strong harmonic trap it displays the presence of vortex pairs, honeycomb-lattice and half-quantum vortices upon varying the Rabi (zero momentum) coupling strength [29].…”

Section: Introductionmentioning

confidence: 99%

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

Ravisankar,

Fabrelli,

Gammal

et al. 2021

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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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“…Solitons show up in various context of physics from condensed matter physics [21,22], biological systems [23,24] to high energy physics [25,26]. In ultracold atomic systems, the dynamics of soliton has been studied under several conditions such as the quench dynamics [27,28], the dynamics in * koichiro.furutani@phd.unipd.it FIG. 1.…”

Section: Introductionmentioning

confidence: 99%

“…the presence of a spin-orbit coupling [27,29], and solitons in an annular geometry [18,20,30]. Based on these developments, it is significant to clarify and characterize the property of superfluid that involves modulational changes.…”

Section: Introductionmentioning

confidence: 99%

Superfluid properties of bright solitons in a ring

Furutani,

Salasnich

2021

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We theoretically investigate superfluid properties of a one-dimensional annular superfluid with a boost. We derive the formula of the superfluid fraction in the one-dimensional superfluid, which was originally derived by Leggett in the context of supersolid. We see that the superfluid fraction given by Leggett's formula detects the emergence of solitons in the one-dimensional annular superfluid. The formation of a bright soliton at a critical interaction strength decreases the superfluid fraction. At a critical boost velocity, a node appears in the soliton and the superfluid fraction vanishes. With a transverse dimension, the soliton alters to a more localized one and it undergoes dynamical instability at a critical transverse length. Consequently, the superfluid fraction decreases as one increases the length up to the critical length. With a potential barrier along the ring, the uniform density alters to an inhomogeneous configuration and it develops a soliton localized at one of the potential minima by increasing the interaction strength.

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Quenching dynamics of the bright solitons and other localized states in spin–orbit coupled Bose–Einstein condensates

Cited by 15 publications

References 76 publications

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

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

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

Superfluid properties of bright solitons in a ring

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