Orbital Josephson effect and interactions in driven atom condensates on a ring

Abstract

In a system of ac-driven condensed bosons we study a new type of Josephson effect occurring between states sharing the same region of space and the same internal atom structure. We first develop a technique to calculate the long time dynamics of a driven interacting many-body system. For resonant frequencies, this dynamics can be shown to derive from an effective time-independent Hamiltonian which is expressed in terms of standard creation and annihilation operators. Within the subspace of resonant states, and if the undriven states are plane waves, a locally repulsive interaction between bosons translates into an effective attraction. We apply the method to study the effect of interactions on the coherent ratchet current of an asymmetrically driven boson system. We find a wealth of dynamical regimes which includes Rabi oscillations, self-trapping, and chaotic behavior. In the latter case, a full many-body calculation deviates from the mean-field results by predicting large quantum fluctuations of the relative particle number.

Published version

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Cited by in corpus (13)

• Spin squeezing by tensor twisting and Lipkin-Meshkov-Glick dynamics in a toroidal Bose-Einstein condensate with spatially modulated nonlinearity
• Subdiffusion of nonlinear waves in quasiperiodic potentials
• Tunneling, self-trapping and manipulation of higher modes of a BEC in a double well
• Macroscopic Quantum Self-Trapping in Dynamical Tunnelling
• Effective Josephson dynamics in resonantly driven Bose-Einstein condensates
• Many-body Quantum Chaos and Entanglement in a Quantum Ratchet
• Protected cat states from kinetic driving of a boson gas
• Superfluidity from correlations in driven boson systems
• Layered Chaos in Mean-field and Quantum Many-body Dynamics
• Simultaneous symmetry breaking in spontaneous Floquet states: temporal Floquet-Nambu-Goldstone modes, Floquet thermodynamics, and the time operator
• Finite-size effects in the dynamics of few bosons in a ring potential
• Dynamical tunnelling of a Nano-mechanical Oscillator
• Stability and stabilization of unstable condensates