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arXiv · 2209.07029

Quantum manifestation of the classical bifurcation in the driven dissipative Bose-Hubbard dimer

P. S. Muraev·D. N. Maksimov·A. R. Kolovsky
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Abstract

We analyze the classical and quantum dynamics of the driven dissipative Bose-Hubbard dimer. Under variation of the driving frequency, the classical system is shown to exhibit a bifurcation to the limit cycle, where its steady-state solution corresponds to periodic oscillation with the frequency unrelated to the driving frequency. This bifurcation is shown to lead to a peculiarity in the stationary single-particle density matrix of the quantum system. The case of the Bose-Hubbard trimer, where the discussed limit cycle bifurcates into a chaotic attractor, is briefly discussed.

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P. S. Muraev, D. N. Maksimov, A. R. Kolovsky. 2022-09-15. Quantum manifestation of the classical bifurcation in the driven dissipative Bose-Hubbard dimer. https://doi.org/10.3390/e25010117

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