Control of anomalous diffusion of a Bose polaron

Abstract

We study the diffusive behavior of a Bose polaron immersed in a coherently coupled two-component Bose-Einstein Condensate (BEC). Polaron superdiffuses if it couples in the same manner to both components, i.e. either attractively or repulsively to both of them. This is the same behavior as that of an impurity immersed in a single BEC. Conversely, the polaron exhibits a transient nontrivial subdiffusive behavior if it couples attractively to one of the components and repulsively to the other. The anomalous diffusion exponent and the duration of the subdiffusive interval can be controlled with the Rabi frequency of the coherent coupling between the two components, and with the coupling strength of the impurity to the BEC.

18 pages, 3 figures

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• Inducing spin-order with an impurity: phase diagram of the magnetic Bose polaron
• Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons
• Slow dynamics of a mobile impurity interacting with an Anderson insulator
• The Quantum Dynamics of Two-component Bose-Einstein Condensate: an $Sp(4,R)$ Symmetry Approach
• Quantum Echo in Two-Component Bose-Einstein Condensates
• Polarons in Binary Bose-Einstein Condensates
• Nonergodic dynamics for an impurity interacting with bosons in tilted lattice
• The Uhlmann Phase Winding in Bose-Einstein Condensates at Finite Temperature