Abstract
The authors study the interplay between interaction effects and the spin-orbit induced density oscillations of the stripe phase by taking quantum fluctuations into account.
Highlights
Spin-orbit coupling (SOC) can connect the spin of a particle not just with its orbital angular momentum, and its linear momentum
Quantum fluctuations, accounted for by pair correlations in the many-body wave function, lead to significant corrections with respect to mean-field results for all properties of a spin-orbit coupled 1D Bose gas
The stronger the interaction between the particles, the more our hypernetted-chain Euler-Lagrange (HNC-EL)/0 results for energy, density oscillation wave number, and polarization differ from the corresponding mean-field results, because for strong interactions or low density a 1D Bose gas enters the Tonks-Girardeau regime
Summary
Spin-orbit coupling (SOC) can connect the spin of a particle not just with its orbital angular momentum, and its linear momentum. In addition a Zeeman term is added, which mixes the spin components Such a one-dimensional SOC will be the primary concern of this work, we want to point out that numerous other schemes of SOC have been theoretically proposed or experimentally realized like pure Rashba coupling [7,8] in 2D with a Dirac point or isotropic SOC in three dimensions [9]. In spite of mean-field approaches providing valuable insight in the behavior of a Bose gas with SOC, those approaches significantly lack the ability to describe strongly correlated systems. This shortcoming becomes especially apparent in one-dimensional systems, where correlations are known to play an even more significant role than in higher dimensions and are stronger for lower densities [31]. We use an approximation of the inhomogeneous HNC-EL method [36,37], derived for periodic systems in Ref. [38]
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