Abstract

A toolbox for the quantum simulation of polarons in ultracold atoms is presented. Motivated by the impressive experimental advances in the area of ultracold atomic mixtures, we theoretically study the problem of ultracold atomic impurities immersed in a Bose-Einstein condensate mixture (BEC). The coupling between impurity and BEC gives rise to the formation of polarons whose mutual interaction can be effectively tuned using an external laser driving a quasi-resonant Raman transition between the BEC components. Our scheme allows one to change the effective interactions between polarons in different sites from attractive to zero. This is achieved by simply changing the intensity and the frequency of the two lasers. Such arrangement opens new avenues for the study of strongly correlated condensed matter models in ultracold gases.

Highlights

  • Ultracold atomic gases are one of the most advanced experimental and theoretical platform for quantum simulations,[1] ranging from continuous systems in shallow traps to discrete models on a lattice,[2,3] with either short contact or long range dipolar interactions, with various dimensionalities and in the presence of impurities or disorder.[4]

  • Motivated by the impressive experimental advances in the area of ultracold atomic mixtures, we theoretically study the problem of ultracold atomic impurities immersed in a Bose-Einstein condensate mixture (BEC)

  • We have analysed the properties of polarons which originate from the coupling of atomic impurities with a two component BEC

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Summary

Introduction

Ultracold atomic gases are one of the most advanced experimental and theoretical platform for quantum simulations,[1] ranging from continuous systems in shallow traps to discrete models on a lattice,[2,3] with either short contact or long range dipolar interactions, with various dimensionalities and in the presence of impurities or disorder.[4]. Ultracold polarons are a well established area of both theoretical and experimental investigation Triggered by experimental advances in cold atomic mixtures and impurities immersed in Bose-Einstein condensates (BEC),[11,12,13,14] many theoretical works have analysed interesting problems in this context These include the study of effective polaron-polaron interactions,[15,16,17,18,19] clustering and transport of polarons,[20,21,22,23,24] self-trapping of impurities,[25] multi-polaron problems,[26,27,28] probing BEC with impurities,[29,30,31,32] BEC-generated entanglement of impurities,[33] non-Markovian environments.[34] attractive and repulsive polarons have been theoretically studied[35,36,37] and, in the fermionic case, experimentally observed.[38,39] A two-band model for the impurity has been recently considered in.[40]

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