Blocked populations in ring-shaped optical lattices

Abstract

We study a special dynamical regime of a Bose-Einstein condensate in a ring-shaped lattice where the populations in each site remain constant during the time evolution. The states in this regime are characterized by equal occupation numbers in alternate wells and non-trivial phases, while the phase differences between neighboring sites evolve in time yielding persistent currents that oscillate around the lattice. We show that the velocity circulation around the ring lattice alternates between two values determined by the number of wells and with a specific time period that is only driven by the onsite interaction energy parameter. In contrast to the self-trapping regime present in optical lattices, the occupation number at each site does not show any oscillation and the particle imbalance does not possess a lower bound for the phenomenon to occur. These findings are predicted with a multimode model and confirmed by full three-dimensional Gross-Pitaevskii simulations using an effective onsite interaction energy parameter.

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Cited by in corpus (5)

• Effects of a rotating periodic lattice on coherent quantum states in a ring topology: The case of positive nonlinearity
• Bose-Einstein condensates in rotating ring-shaped lattices: a multimode model
• Rotation Sensitive Quench and Revival of Coherent Oscillations in a Ring Lattice
• Entangled Collective Spin States of Two Species Ultracold atoms in a Ring
• Instability and particle current control of a parametrically driven Bose-Einstein condensate in a ring-shaped lattice