Topological Coherent Modes in Trapped Bose Gas
V.I. Yukalov, K.-P. Marzlin, E.P. Yukalova, and V.S. Bagnato

TL;DR
This paper reviews the generation and properties of topological coherent modes in trapped Bose gases, highlighting their nonlinear collective behavior and various quantum phenomena resulting from resonant external field excitation.
Contribution
It provides a comprehensive overview of topological coherent modes in Bose gases, emphasizing their nonlinear dynamics and potential for quantum effects.
Findings
Demonstration of interference fringes and current
Observation of mode locking and dynamic transitions
Evidence of entanglement production and chaotic motion
Abstract
The report reviews the problem of topological coherent modes, which are nonlinear collective states of Bose-condensed atoms. Such modes can be generated by means of alternating external fields, whose frequencies are in resonance with the transition frequencies between the related modes. The Bose gas with generated topological coherent modes is a collective nonlinear analog of a resonant atom. Such systems exhibit a variety of nontrivial effects, e.g.: interference fringes, interference current, mode locking, dynamic transitions, critical phenomena, chaotic motion, harmonic generation, parametric conversion, atomic squeezing, and entanglement production.
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