2016
DOI: 10.1103/physreva.94.033627
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Excitation spectra of a Bose-Einstein condensate with an angular spin-orbit coupling

Abstract: A theoretical model of a Bose-Einstein condensate with angular spin-orbit coupling has recently been proposed and it has been established that a half-skyrmion represents the ground state in a certain regime of spin-orbit coupling and interaction. Here we investigate low-lying excitations of this phase by using the Bogoliubov method and numerical simulations of the time-dependent Gross-Pitaevskii equation. We find that a sudden shift of the trap bottom results in a complex twodimensional motion of the system's … Show more

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Cited by 17 publications
(12 citation statements)
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“…ε j is the quasiparticle frequency and the quasiparticle amplitudes K ≡ u (or v) in Eq. (S7) can be written as K jσ (r, φ) = K (l) τ σ (r)r |lz +l| e i(lz+l)φ / √ 2π [28]. Here the index j is defined as j ≡ (l, τ ) with the integer angular momentum l ∈ Z and the branch index τ ∈ N 1 .…”
mentioning
confidence: 99%
“…ε j is the quasiparticle frequency and the quasiparticle amplitudes K ≡ u (or v) in Eq. (S7) can be written as K jσ (r, φ) = K (l) τ σ (r)r |lz +l| e i(lz+l)φ / √ 2π [28]. Here the index j is defined as j ≡ (l, τ ) with the integer angular momentum l ∈ Z and the branch index τ ∈ N 1 .…”
mentioning
confidence: 99%
“…In this case, we generalize the Bogoliubov theory at zero temperature to study low-energy elementary excitations [26,27], including dipole and breathing modes. The transitions between different phases may then be understood from possible instabilities of the collective modes.…”
Section: B Gross-pitaevskii Approach Within the Bogoliubov Approximamentioning
confidence: 99%
“…In addition, ε j is the quasiparticle frequency and the quasiparticle amplitudes K ≡ u (or v) in Eq. (5) can be written as [27]. Here the index j is defined as j ≡ (l, τ ), with the integer angular momentum l ∈ Z and the branch index τ ∈ N 1 .…”
Section: B Gross-pitaevskii Approach Within the Bogoliubov Approximamentioning
confidence: 99%
“…Dynamical properties also play an important role in characterizing spinor BECs. In the past decade, various topological collective excitations including exotic vortex or vortex pair [36][37][38][39][40][41][42][43], soliton [44][45][46][47][48][49][50], knot [51][52][53], skyrmion [54][55][56][57][58][59] have been proposed and their dynamical stability have either been theoretically discussed or experimentally verified in the framework of spinor BECs. Recently, a variety of studies were performed on the dynamics of a scalar BEC flow past an obstacle, especially after the experimental observation of the induced vortex-antivortex pairs [60,61], which have been shown to exhibit extraordinary behaviors [62][63][64][65][66][67][68][69][70].…”
Section: Introductionmentioning
confidence: 99%