Abstract
We provide a short review (to appear in the proceedings of ‘Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory’, held in Natal 2015) of several articles by the author and his collaborators on aspects of the ‘Bose–Hubbard” dimer (also known as the “Bose Josephson junction”) as realized by a Bose Einstein Condensate (BEC) in a double-well optical trapping potential. We discuss the semi-classical model for this system (the Gross-Pitaevski (GP) equation) which is valid for a large number of atoms in the condensate and show that it is equivalent to an integrable classical dynamical system with multiple fixed points whose locations depend on the parameters of the system. We then discuss the full quantum mechanical model (the Bose–Hubbard Hamiltonian) both with and without dissipation. We demonstrate the surprising result that dissipation can actually enhance the condensate fraction and the EPR entanglement by driving the system nearer to the (classical) fixed points. We also show that the full quantum model predicts a tunneling phenomenon that is absent in the GP equation and that, in principle, should be observable in near-term experiments.
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References
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Acknowledgements
The author deeply indebted to his colleagues who worked with him on this research: Jerome Dorignac, Holger Hennig, Ted Pudlik, and Dirk Witthaut. None of these results would have been achieved without their contributions. He is also grateful to Pasquale Sodano for inviting him to the October 2015 conference on “Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory”, held at the International Institute for Physics in Natal, Brazil.
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Campbell, D.K. (2020). The Remarkable BEC Dimer. In: Ferraz, A., Gupta, K., Semenoff, G., Sodano, P. (eds) Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory. Springer Proceedings in Physics, vol 239. Springer, Cham. https://doi.org/10.1007/978-3-030-35473-2_9
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DOI: https://doi.org/10.1007/978-3-030-35473-2_9
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