Exciting the Goldstone Modes of a Supersolid Spin-Orbit-Coupled Bose Gas

Geier, Kevin T.; Martone, Giovanni I.; Hauke, Philipp; Stringari, Sandro

doi:10.48550/arxiv.2102.02221

Cited by 3 publications

(5 citation statements)

References 42 publications

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“…Mode hybridization is one of the most striking consequences of the spin-orbit coupling. A similar phenomenon of beat between two hybrid modes was recently studied in the context of trapped atomic spin-orbit-coupled Bose-Einstein condensates, where it can be observed when the gas is in the supersolid phase [47]. Our setting provides an alternative and viable way to study the impact of spin-orbit coupling on the collective modes of an interacting optical system.…”

Section: B Phase Shift Experimentssupporting

confidence: 54%

“…For that purpose, we construct a general formalism for spin mixtures of fluids of light that goes beyond the paraxial approximation in which, by construction, any coupling between polarization and orbital motion is discarded. By linearizing the full nonlinear Helmholtz equation describing the system and computing the Bogoliubov modes, we show that the excitation spectrum exhibits features, like the anisotropy of the frequencies and the hybridization of the density and spin modes, that are typical of spin-orbit-coupled atomic Bose gases [45][46][47]. We also discuss specific experimental setups aiming to detect these phenomena.…”

Section: Introductionmentioning

confidence: 96%

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Spin-orbit-coupled fluids of light in bulk nonlinear media

Martone,

Bienaimé,

Cherroret

2021

Preprint

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We show that nonparaxial polarized light beams propagating in a bulk nonlinear Kerr medium naturally exhibit a coupling between the motional and the polarization degrees of freedom, realizing a spin-orbit-coupled mixture of fluids of light. We investigate the impact of this mechanism on the Bogoliubov modes of the fluid, using a suitable density-phase formalism built upon a linearization of the exact Helmholtz equation. The Bogoliubov spectrum is found to be anisotropic, and features both low-frequency gapless branches and high-frequency gapped ones. We compute the amplitudes of these modes and propose a couple of experimental protocols to study their excitation mechanisms. This allows us to highlight a phenomenon of hybridization between density and spin modes, which is absent in the paraxial description and represents a typical fingerprint of spin-orbit coupling.

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Section: B Phase Shift Experimentssupporting

confidence: 54%

Section: Introductionmentioning

confidence: 96%

Spin-orbit-coupled fluids of light in bulk nonlinear media

Martone,

Bienaimé,

Cherroret

2021

Preprint

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“…The Goldstone modes in the stripe phase have been recently theoretically investigated also in the presence of harmonic trapping (81,80). In this case one finds that, while in the PW and ZM phase the density and spin modes are fully hybridized, corresponding to the existence of a single gapless branch, in the stripe phase one finds the emergence of a novel low frequency excitation of spin nature (see Figure 9), whose experimental observation would represent a further crucial evidence of supersolidity.…”

Section: Elementary Excitations and Goldstone Modesmentioning

confidence: 93%

“…The black curve corresponds to the upper bound ωx/ 1 + k 2 0 χ M to the lowest dipole oscillation, proving the occurrence of a lower frequency mode in the stripe phase. Above the transition the spin dipole mode is fully hybridized to the axial breathing mode From (80) . the wall of a moving container, the superfluid component ρs = ρ − ρn being able to move without friction.…”

Section: Superfluidity and Moment Of Inertiamentioning

confidence: 99%

Coherently Coupled Mixtures of Bose-Einstein Condensed Gases

Recati,

Stringari

2021

Preprint

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This paper summarizes some of the relevant features exhibited by binary mixtures of Bose-Einstein condensates in the presence of coherent coupling at zero temperature. The coupling, which is experimentally produced by proper photon transitions, can either involve negligible momentum transfer from the electromagnetic radiation (Rabi coupling) or large momentum transfer (Raman coupling) associated with spin-orbit effects. The nature of the quantum phases exhibited by coherently coupled mixtures is discussed in detail, including their paramagnetic, ferromagnetic, and, in the case of spin-orbit coupling, supersolid phases. The behavior of the corresponding elementary excitations is discussed, with explicit emphasis on the novel features caused by the spin-like degree of freedom. Focus is further given to the topological excitations (solitons, vortices) as well as to the superfluid properties. The paper also points out relevant open questions which deserve more systematic theoretical and experimental investigations.

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“…The effect of SO, Rabi couplings and nonlinear interactions provide collective oscillations, which has a transition from harmonicity to anharmonicity [42]. In a recent work Geier et al found the signature of Goldstone modes in harmonically trapped SO coupled BECs [43].…”

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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Exciting the Goldstone Modes of a Supersolid Spin-Orbit-Coupled Bose Gas

Cited by 3 publications

References 42 publications

Spin-orbit-coupled fluids of light in bulk nonlinear media

Spin-orbit-coupled fluids of light in bulk nonlinear media

Coherently Coupled Mixtures of Bose-Einstein Condensed Gases

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

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