Chaos onset in large rings of Bose-Einstein condensates

Abstract

We consider large rings of weakly-coupled Bose-Einstein condensates, analyzing their transition to chaotic dynamics and loss of coherence. Initially, a ring is considered to be in an eigenstate, i.e. in a commensurate configuration with equal site fillings and equal phase differences between neighboring sites. Such a ring should exhibit a circulating current whose value will depend on the initial, non-zero phase difference. The appearance of such currents is a signature of an established coherence along the ring. If phase difference falls between $\pi /2$ and $3\pi /2$ and interparticle interaction in condensates exceeds a critical interaction value $u_c$, the coherence is supposed to be quickly destroyed because the system enters a chaotic regime due to inherent instabilities. This is, however, only a part of the story. It turns out that chaotic dynamics and resulting averaging of circular current to zero is generally offset by a critical time-scale $t_c$, which is almost two orders of magnitude larger than the one expected from the linear stability analysis. We study the critical time-scale in detail in a broad parameter range.

arXiv comment11 pages, 12 figures

References in corpus (19)

• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
• Josephson Junction Arrays with Bose-Einstein Condensates
• Dynamical Superfluid-Insulator Transition in a Chain of Weakly Coupled Bose-Einstein Condensates
• Experimental realization of Josephson junctions for an Atom SQUID
• Quantised supercurrent decay in an annular Bose-Einstein condensate
• Vortex Formation by Interference of Multiple Trapped Bose-Einstein Condensates
• Quantum Dynamics of Three Coupled Atomic Bose-Einstein Condensates
• Coherent superposition of current flows in an Atomtronic Quantum Interference Device
• Nonequilibrium Josephson oscillations in Bose-Einstein condensates without dissipation
• Robust Mesoscopic Superposition of Strongly Correlated Ultracold Atoms
• Persistent currents in a circular array of Bose-Einstein condensates
• Geometric frustration in polygons of polariton condensates creating vortices of varying topological charge
• Phase separation can be stronger than chaos
• Superfluidity in Bose-Hubbard circuits
• Chaos and two-level dynamics of the Atomtronic Quantum Interference Device
• Monodromy and chaos for condensed bosons in optical lattices
• A ring of BEC pools as a trap for persistent flow
• Josephson Current Flowing in Cyclically Coupled Bose-Einstein Condensates

Cited by in corpus (2)

• Loop current states and their stability in small fractal lattices of Bose-Einstein condensates
• Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system