Collisionless drag for a one-dimensional two-component Bose-Hubbard model

Abstract

We theoretically investigate the elusive Andreev-Bashkin collisionless drag for a two-component onedimensional Bose-Hubbard model on a ring. By means of tensor network algorithms, we calculate the superfluid stiffness matrix as a function of intra- and interspecies interactions and of the lattice filling. We then focus on the most promising region close to the so-called pair-superfluid phase, where we observe that the drag can become comparable with the total superfluid density. We elucidate the importance of the drag in determining the long-range behavior of the correlation functions and the spin speed of sound. In this way, we are able to provide an expression for the spin Luttinger parameter $K_S$ in terms of drag and the spin susceptibility. Our results are promising in view of implementing the system by using ultracold Bose mixtures trapped in deep optical lattices, where the size of the sample is of the same order of the number of particles we simulate. Importantly, the mesoscopicity of the system, far from being detrimental, appears to favor a large drag, avoiding the Berezinskii-Kosterlitz-Thouless jump at the transition to the pair-superfluid phase which would reduce the region where a large drag can be observed.

7 pages, 6 figures. Final version published as Letter in PRR

References in corpus (7)

• Quantum liquid droplets in a mixture of Bose-Einstein condensates
• Collisions of self-bound quantum droplets
• Spin-charge separation in two-component Bose-gases
• Creating a supersolid in one-dimensional Bose mixtures
• Andreev-Bashkin effect in superfluid cold gases mixture
• Spin-Dipole Oscillation and Polarizability of a Binary Bose-Einstein Condensate near the Miscible-Immiscible Phase Transition
• Excitations in two-component Bose-gases

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• Superfluidity in the 1D Bose-Hubbard Model
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• Detection of Berezinskii-Kosterlitz-Thouless transition via Generative Adversarial Networks
• Phase Diagram Detection via Gaussian Fitting of Number Probability Distribution
• Detecting Entrainment in Fermi-Bose Mixtures
• Spin conductivity spectrum and spin superfluidity in a binary Bose mixture
• Signature of Andreev-Bashkin superfluid drag from Cavity Optomechanics
• Drag-induced dynamical formation of dark solitons in Bose mixture on a ring
• Third quantization with Hartree approximation for open-system bosonic transport