2017
DOI: 10.1103/physreva.95.033616
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Collective excitation of a trapped Bose-Einstein condensate with spin-orbit coupling

Abstract: We investigate the collective excitations of a Raman-induced spin-orbit coupled Bose-Einstein condensate confined in a quasi one-dimension harmonic trap using the Bogoliubov method. By tuning the Raman coupling strength, three phases of the system can be identified. By calculating the transition strength, we are able to classify various excitation modes that are experimentally relevant. We show that the three quantum phases possess distinct features in their collective excitation properties. In particular, the… Show more

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Cited by 26 publications
(22 citation statements)
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“…Similar dispersion laws have been obtained in Ref. [39] by solving the Bogoliubov equations for a spin-orbit-coupled mixture in one dimension. With respect to Ref.…”
supporting
confidence: 83%
“…Similar dispersion laws have been obtained in Ref. [39] by solving the Bogoliubov equations for a spin-orbit-coupled mixture in one dimension. With respect to Ref.…”
supporting
confidence: 83%
“…It is important to note that for stronger interspecies interaction, U ↑↓ /U > 1, we do not observe the ST phase. This is consistent to the quantum phases of continuum system with SOC where the tuning of Raman coupling for strong interspecies interaction does not lead to ST phase [38].…”
Section: (B)-(c)supporting
confidence: 87%
“…In particular, they show stripe-like distributions in the lattice. It is worth mentioning, similar SF states have been previously discussed in the continuum where the phases were characterized using the properties of collective excitations [38].…”
Section: Quantum Phases and Order Parametersmentioning
confidence: 81%
“…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%