Impurity crystal in a Bose-Einstein condensate

Abstract

We investigate the behavior of impurity fields immersed in a larger condensate field in 1, 2, and 3 dimensions. We discuss the localization of a single impurity field within a condensate and note the effects of surface energy. We derive the functional form of the attractive interaction between two impurities due to mediation from the condensate. Generalizing the analysis to $N$ impurity fields, we show that within various parameter regimes a crystal of impurity fields can form spontaneously in the condensate. Finally, the system of condensate and crystallized impurity structure is shown to have nonclassical rotational inertia, which is characteristic of superfluidity, i.e. the system can be seen to exhibit supersolid behavior.

5 pages, 3 color figures; Accepted to Phys. Rev. Lett

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• Field-theoretical approach to the Casimir-like interaction in a one-dimensional Bose gas
• Mean-field study of repulsive 2D and 3D Bose polarons
• Polaron in the dilute critical Bose condensate
• Polaronic effects in one- and two-band quantum systems
• Self-localization of a small number of Bose particles in a superfluid Fermi system
• Sticking Transition in a Minimal Model for the Collisions of Active Particles in Quantum Fluids
• Angular self-localization of impurities rotating in a bosonic bath
• Intermolecular forces and correlations mediated by a phonon bath
• Impurity in a three-dimensional unitary Bose gas
• Induced interaction and crystallization of self-localized impurity fields in a Bose-Einstein condensate