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

Abstract

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.

four pages, five figures

References in corpus (4)

• Quantum control and entanglement using periodic driving fields
• Entanglement dynamics in chaotic systems
• Many-body quantum coherence and interaction blockade in Josephson-linked Bose-Einstein condensates
• Coherently controlled entanglement generation in a binary Bose-Einstein condensate

Cited by in corpus (3)

• Fractional photon-assisted tunneling for Bose-Einstein condensates in a double well
• Macroscopic Superpositions of Phase States with Bose-Einstein Condensates
• Quantum switching at a mean-field instability of a Bose-Einstein condensate in an optical lattice