Beyond mean-field behavior of large Bose-Einstein condensates in double-well potentials

Abstract

For the dynamics of Bose-Einstein condensates (BECs), differences between mean-field (Gross-Pitaevskii) physics and $N$-particle quantum physics often disappear if the BEC becomes larger and larger. In particular, the timescale for which both dynamics agree should thus become larger if the particle number increases. For BECs in a double-well potential, we find both examples for which this is the case and examples for which differences remain even for huge BECs on experimentally realistic short timescales. By using a combination of numerical and analytical methods, we show that the differences remain visible on the level of expectation values even beyond the largest possible numbers realized experimentally for BECs with ultracold atoms.

10 pages, 4 png figures

References in corpus (13)

• Many-Body Physics with Ultracold Gases
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• Absence of Thermalization in Nonintegrable Systems
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• Manipulation of ultracold atoms in dressed adiabatic radio frequency potentials
• Scattering bright solitons: quantum versus mean-field behavior
• Wave chaos in the non-equilibrium dynamics of the Gross-Pitaevskii equation
• Many-body quantum coherence and interaction blockade in Josephson-linked Bose-Einstein condensates
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Cited by in corpus (11)

• Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
• Neutrino Spectral Split in the Exact Many Body Formalism
• Tunneling, self-trapping and manipulation of higher modes of a BEC in a double well
• Chaos in the three-site Bose-Hubbard model -- classical vs quantum
• Stability and Tunneling Dynamics of a Dark-Bright Soliton Pair in a Harmonic Trap
• Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model
• Trojan quasiparticles
• Eigenstate thermalization scaling in approaching the classical limit
• From short-time diffusive to long-time ballistic dynamics: the unusual center-of-mass motion of quantum bright solitons
• The BBGKY hierarchy for ultracold bosonic systems: II. Applications
• Entropy production within a pulsed Bose-Einstein condensate