Differences between mean-field dynamics and N-particle quantum dynamics as a signature of entanglement

Christoph Weiss (1) , Niklas Teichmann (2)

1 LKB (Lhomond) - Laboratoire Kastler Brossel
2 IHP - Institut Henri Poincaré

A Bose-Einstein condensate in a tilted double-well potential under the influence of time-periodic potential differences is investigated in the regime where the mean-field (Gross-Pitaevskii) dynamics become chaotic. For some parameters near stable regions, even averaging over several condensate oscillations does not remove the differences between mean-field and N-particle results. While introducing decoherence via piecewise deterministic processes reduces those differences, they are due to the emergence of mesoscopic entangled states in the chaotic regime.

Mots clés: Chaos; mesoscopic entanglement; Bose-Einstein condensation

Domaines: Autre [cond-mat.other]

Christoph Weiss, Niklas Teichmann. Differences between mean-field dynamics and N-particle quantum dynamics as a signature of entanglement. Physical Review Letters, 2008, 100, pp.140408. ⟨10.1103/PhysRevLett.100.140408⟩. ⟨hal-00277158⟩