Quantum depletion and superfluid density of a supersolid in Raman spin-orbit-coupled Bose gases. Chen, X., L., Wang, J., Li, Y., Liu, X., J., & Hu, H. Physical Review A, 98(1):013614, 2018. ![Quantum depletion and superfluid density of a supersolid in Raman spin-orbit-coupled Bose gases [pdf]](https://bibbase.org/img/filetypes/pdf.svg "pdf")
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Website abstract bibtex We theoretically investigate a three-dimensional weakly interacting Bose gas with one-dimensional Raman-type spin-orbit coupling at zero temperature. By employing an improved ansatz, including high-order harmonics in the stripe phase, we show that the critical transition from the stripe to the plane-wave phases is shifted to a relatively larger Rabi frequency compared to the prediction by previous work [Li $\textitet al.$, Phys. Rev. Lett. $\textbf108$, 225301 (2012)] using a first-order stripe ansatz. We also determine the quantum depletion and superfluid density over a large range of Rabi frequency in different phases. The depletion exhibits an intriguing behavior with a discontinuous jump at the transition between the stripe and plane-wave phases, and a maximum at the transition between the plane-wave and zero-momentum phases. The superfluid density is derived through a phase-twist method. In the plane-wave and zero-momentum phases, it is significantly suppressed along the spin-orbit-coupling direction and vanishes at the transition, consistent with a recent work [Zhang $\textitet al.$, Phys. Rev. A $\textbf94$, 033635 (2016)], while in the stripe phase, it smoothly decreases with increasing Rabi frequency. Our predictions would be useful for further theoretical and experimental studies of the exotic supersolid stripe phase.
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title = {Quantum depletion and superfluid density of a supersolid in Raman spin-orbit-coupled Bose gases},
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abstract = {We theoretically investigate a three-dimensional weakly interacting Bose gas with one-dimensional Raman-type spin-orbit coupling at zero temperature. By employing an improved ansatz, including high-order harmonics in the stripe phase, we show that the critical transition from the stripe to the plane-wave phases is shifted to a relatively larger Rabi frequency compared to the prediction by previous work [Li $\textitet al.$, Phys. Rev. Lett. $\textbf108$, 225301 (2012)] using a first-order stripe ansatz. We also determine the quantum depletion and superfluid density over a large range of Rabi frequency in different phases. The depletion exhibits an intriguing behavior with a discontinuous jump at the transition between the stripe and plane-wave phases, and a maximum at the transition between the plane-wave and zero-momentum phases. The superfluid density is derived through a phase-twist method. In the plane-wave and zero-momentum phases, it is significantly suppressed along the spin-orbit-coupling direction and vanishes at the transition, consistent with a recent work [Zhang $\textitet al.$, Phys. Rev. A $\textbf94$, 033635 (2016)], while in the stripe phase, it smoothly decreases with increasing Rabi frequency. Our predictions would be useful for further theoretical and experimental studies of the exotic supersolid stripe phase.},
bibtype = {article},
author = {Chen, Xiao Long and Wang, Jia and Li, Yun and Liu, Xia Ji and Hu, Hui},
journal = {Physical Review A},
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