Engineering impurity Bell states through coupling with a quantum bath

Abstract

We theoretically demonstrate the feasibility of creating Bell states in multi-component ultra-cold atomic gases by solely using the ability to control the inter-particle interactions via Feshbach resonances. For this we consider two distinguishable impurities immersed in an atomic background cloud of a few bosons, with the entire system being confined in a one-dimensional harmonic trap. By analyzing the numerically obtained ground states we demonstrate that the two impurities can form spatially entangled bipolaron states due to mediated interactions from the bosonic bath. Our analysis is based on calculating the correlations between the two impurities in a two-mode basis, which is experimentally accessible by measuring the particles positions in the left or right sides of the trap. While interspecies interactions are crucial in order to create the strongly entangled impurity states, it can also inhibit correlations depending on the ordering of the impurities and three-body impurity-bath correlations. We show how these drawbacks can be mitigated by manipulating the properties of the bath, namely its size, mass and intraspecies interactions, allowing to create impurity Bell states over a wide range of impurity-impurity interactions.

11 pages, 7 figures. To appear in Physical Review Research

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Cited by in corpus (7)

• Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures
• Effective approaches to the dynamical properties of two distinguishable Bose polarons
• Correlated decoherence and thermometry with mobile impurities in a 1D Fermi gas
• Effective two- and three-body interactions between dressed impurities in a tilted double-well potential
• Multicomponent one-dimensional quantum droplets across the mean-field stability regime
• Mobile impurity interacting with a Hubbard chain and the role of Friedel oscillations
• Impurity immersed in a two-component few-fermion mixture in a one-dimensional harmonic trap