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A comparison between classical and Bohmian quantum chaos

Author

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  • Tzemos, A.C.
  • Contopoulos, G.

Abstract

We study the emergence of chaos in a 2d system corresponding to a classical Hamiltonian system V=12(ωx2x2+ωy2y2)+ϵxy2 consisting of two interacting harmonic oscillators and compare the classical and the Bohmian quantum trajectories for increasing values of ϵ. In particular, we present an initial quantum state composed of two coherent states in x and y, which in the absence of interaction produces ordered trajectories (Lissajous figures) and an initial state which contains both chaotic and ordered trajectories for ϵ=0. In both cases we find that, in general, Bohmian trajectories become chaotic in the long run, but chaos emerges at times which depend on the strength of the interaction between the oscillators.

Suggested Citation

  • Tzemos, A.C. & Contopoulos, G., 2024. "A comparison between classical and Bohmian quantum chaos," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924010762
    DOI: 10.1016/j.chaos.2024.115524
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