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Spontaneous symmetry breaking induced by interaction in linearly coupled binary Bose–Einstein condensates

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Abstract

The spontaneous symmetry breaking (SSB) induced by a specific component of a linearly coupled binary Bose–Einstein condensate was analyzed. The model is based on linearly coupled Schrödinger equations with cubic nonlinearity and double-well potential acting on only one of the atomic components. By numerical simulations, symmetric and asymmetric ground states were obtained, and an induced asymmetry in the partner field was observed. In this sense, it is adequately demonstrated that the linear coupling mixing the two-field component (Rabi coupling) promotes the (in)balance between the atomic species, as well as the appearance of the Josephson and SSB phases.

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Acknowledgements

The author acknowledges the financial support of the Brazilian agencies CNPq (#306065/2019-3 & #425718/2018-2), CAPES, and FAPEG (PRONEM #201710267000540 & PRONEX #201710267000503). This work was also performed as part of the Brazilian National Institute of Science and Technology (INCT) for Quantum Information (#465469/2014-0). WBC also thanks Juracy Leandro dos Santos for his contribution in implementing part of the infrastructure used in the simulation processes.

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  1. Instituto de Física, Universidade Federal de Goiás, Goiânia, Goiás, 74690-900, Brazil

    Mateus C. P. dos Santos & Wesley B. Cardoso

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dos Santos, M.C.P., Cardoso, W.B. Spontaneous symmetry breaking induced by interaction in linearly coupled binary Bose–Einstein condensates. Nonlinear Dyn 111, 3653–3664 (2023). https://doi.org/10.1007/s11071-022-07986-3

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