Breakdown of macroscopic quantum self-trapping in coupled mesoscopic one dimensional Bose gases

Abstract

Two coupled BECs with a large population imbalance exhibit macroscopic quantum self-trapping (MQST) if the ratio of interaction energy to tunneling energy is above a critical value. Here we investigate effect of quantum fluctuations on MQST. In particular, we analyze the dynamics of a system of two elongated Bose gases prepared with a large population imbalance, where due to the quasi one dimensional character of the gas we no longer have true long range order, and the effect of quantum fluctuations is much more important. We show that MQST is possible in this system, but even when it is achieved it is not always dynamically stable. Using this instability one can construct states with sharply peaked momentum distributions around characteristic momenta dependent on system parameters. Our other finding is the nonmonotonic oscillating dependence of the decay rate of the MQST on the length of the wires. We also address the interesting question of thermalization in this system and show that it occurs only in sufficiently long wires.

18 pages, 13 figures. Figures changed since last version for clearer presentation. New discussion in section 2d on physical significance of second unstable region. New discussion on effect of potential bias in conclusion

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Cited by in corpus (16)

• Phase space representation of quantum dynamics
• Many-body Landau-Zener dynamics in coupled 1D Bose liquids
• Two-point phase correlations of a one-dimensional bosonic Josephson junction
• Unstable Avoided Crossing in Coupled Spinor Condensates
• Damping of Josephson oscillations in strongly correlated one-dimensional atomic gases
• Measure synchronization in a two-species bosonic Josephson junction
• Self-trapping in an array of coupled 1D Bose gases
• Relaxation in an Extended Bosonic Josephson Junction
• Coherence and Josephson oscillations between two tunnel-coupled one-dimensional atomic quasicondensates at finite temperature
• Dynamics of thermalization of two tunnel-coupled one-dimensional quasicondensates
• Interaction-controlled impurity transport in trapped mixtures of ultracold bosons
• Self-trapping dynamics in a 2D optical lattice
• Quantum dynamics and macroscopic quantum tunneling of two weakly coupled condensates
• Scale invariant distribution functions in quantum systems with few degrees of freedom
• Tachyonic and parametric instabilities in an extended bosonic Josephson junction
• Violation of the Leggett-Garg inequality for dynamics of a Bose-Einstein condensate in a double-well potential