Nonlinear coherent modes and atom optics

TL;DR

This paper explores how nonlinear coherent modes in trapped Bose-Einstein condensates can produce phenomena analogous to optical effects, enabling advanced atom optics applications and entanglement generation.

Contribution

It introduces the concept of nonlinear coherent modes in BECs and draws parallels to finite-level atoms, expanding the understanding of atom optics phenomena.

Findings

Observation of interference patterns and Rabi oscillations in BECs

Identification of mode locking and dynamic transitions between regimes

Potential for creating mesoscopic entangled states

Abstract

By pumping energy into a trapped Bose-Einstein condensate it is possible to generate nonlinear coherent modes representing non-ground-state condensates. A Bose-condensed system of trapped atoms with nonlinear coherent modes is analogous to a finite-level atom considered in optics which can be excited by applying external fields. The excitation of finite-level atoms produces a variety of optical phenomena. In the similar way, the generation of nonlinear coherent modes in a trapped condensate results in many phenomena studied in what is termed atom optics. For example, there occur such effects as interference patterns, interference current, Rabi oscillations, harmonic generation, parametric conversion, Ramsey fringes, mode locking, and a dynamic transition between Rabi and Josephson regimes. The possibility of creating mesoscopic entangled states of trapped atoms and entanglement production by atomic states in optical lattices are studied.