Collective excitation of two-dimensional Bose–Einstein condensate in liquid phase with spin–orbit coupling

Sahu, Saswata; Majumder, Dwipesh

doi:10.1088/1361-6455/ab7528

Cited by 8 publications

(8 citation statements)

References 40 publications

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“…The collective excited state can be considered as ψ exc = ψ + δψ. The perturbation part can be written as [33,34],…”

Section: Collective Excitationmentioning

confidence: 99%

Collective Excitations of Bose–Einstein Condensate in a Rydberg Atom

Banerjee,

Majumder

2024

J Low Temp Phys

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In this work, we investigated a Bose-Einstein condensate (BEC) inside a Rydberg atom. We first observed the system's density profile using the Gross-Pitaevskii equation, and then we used the Bogoliubov theory to examine the collective excitation spectra. We have also extended our study by taking into account a hybrid of two BEC species. Again, for this new system, the density profile and the collective excitation are investigated in a similar manner. The results of the BEC for one species reveal that the Rydberg atom can trap the BEC and that the excitation curve moves upward with increasing Rydberg atom interaction. We have seen roton minima for two species of BEC, and the depth of the minima shifts with the Rydberg interaction.

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“…The collective excited state can be considered as ψ exc = ψ + δψ. The perturbation part can be written as [33,34],…”

Section: Collective Excitationmentioning

confidence: 99%

Collective Excitations of Bose–Einstein Condensate in a Rydberg Atom

Banerjee,

Majumder

2024

J Low Temp Phys

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“…Depending upon the Rabi and SO coupling parameters range, these soliton-like states are either of single peak (bright soliton) or multiple peaks (stripe soliton) nature [19,21]. Some of these works demonstrate the existence of soliton, as well droplet nature of the self-bound state for the effective one component binary BECs in one dimension [22] and binary mixture with SO coupling in two dimension [20,23]. The transition between the quantum soliton and quantum droplet regime depends on several parameters, like, the atom number (N ), interaction strength, the strength of the confining potential, etc.…”

Section: Introductionmentioning

confidence: 99%

“…Since the proposition of the non-trivial attractive nature of the LHY term in quasi-one dimensional quantum droplet [16], it has caught great attention of the scientific community. A significant number of theoretical and numerical works have been performed in recent years using the effective one component [17], binary [18] and SO and Rabi coupled binary BECs [19,20] that explored the structure and dynamics of the Quantum droplet. In SO-coupled BECs, it has been demonstrated that the self-bound states are solitonic for vanishing mean-field contribution [19].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of quantum soliton in Lee-Huang-Yang spin-orbit coupled Bose-Einstein condensates

Gangwar¹,

Ravisankar²,

Paulsamy³

et al. 2022

Preprint

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We present the numerical results of the structure and dynamics of self-bound ground state arising solely because of presence of beyond mean field quantum fluctuation in spin-orbit coupled binary Bose-Einstein condensates in one dimension. Depending upon spin-obit and Rabi couplings, we obtain that the ground state exhibits either bright (plane) or stripe soliton nature. We find an analytical solution of soliton for non-zero SO coupling that matches quite well with the numerical results. Further, we investigate the dynamical stability of these solitons by adopting three protocols, such as adding initial velocity to each component, quenching of the SO and Rabi coupling parameters at initial and finite time, and allowing collision of the two spin-components from an equal and opposite direction velocity. Many interesting dynamical features of the solitons, like, mutifragamented, repelling, and breathing in time as well in both space and time, are observed. For given Rabi coupling frequency, the breathing frequency of the soliton increases upon increase in SO coupling and attains a maximum at the critical SO coupling parameters where phase transition from the bright to stripe soliton occurs. We find that the critical breathing frequency exhibits power law dependence on the Rabi coupling frequency with an exponent ∼ 0.16. The quenching of SO and Rabi coupling frequency leads to the appearance of dynamical phase transition from bright to stripe soliton, from breathing stripe to bright soliton, etc. In absence of the SO and Rabi couplings, depending upon the velocity of the up-spin and down-spin component the collision between them is either elastic or inelastic in nature which is consistent with the earlier numerical and experimental observation.

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“…Further Yu et al used this idea in obtaining the ground state phase diagram particularly, excitations of zero momentum phases in quasi-2D SO coupled BECs [46]. In the liquid phase it was demonstrated that the quasi-2D BECs exhibits different excitation modes, like, phonon, roton and double roton modes with different SO couplings as the interaction strengths are varied [47].…”

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

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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Collective excitation of two-dimensional Bose–Einstein condensate in liquid phase with spin–orbit coupling

Cited by 8 publications

References 40 publications

Collective Excitations of Bose–Einstein Condensate in a Rydberg Atom

Collective Excitations of Bose–Einstein Condensate in a Rydberg Atom

Dynamics of quantum soliton in Lee-Huang-Yang spin-orbit coupled Bose-Einstein condensates

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

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