Beyond standard two-mode dynamics in Bosonic Josephson junctions
B. Juli\'a-D\'iaz, J. Martorell, M. Mel\'e-Messeguer, A. Polls

TL;DR
This paper explores complex dynamics in Bose-Einstein condensates within double-well potentials, revealing a new regime involving third mode excitation beyond traditional Josephson oscillations and self-trapping, supported by a semiclassical model and experimental proposals.
Contribution
It introduces the discovery of a novel dynamical regime involving third mode excitation in Bose-Einstein condensates, extending understanding beyond standard two-mode models.
Findings
Identification of a new dynamical regime involving third mode excitation.
Development of a semiclassical model accurately describing the dynamics.
Proposals for experimental conditions to observe this phenomenon.
Abstract
We examine the dynamics of a Bose-Einstein condensate in a symmetric double-well potential for a broad range of non-linear couplings. We demonstrate the existence of a region, beyond those of Josephson oscillations and self-trapping, which involves the dynamical excitation of the third mode of the double-well potential. We develop a simple semiclassical model for the coupling between the second and third modes that describes very satisfactorily the full time-dependent dynamics. Experimental conditions are proposed to probe this phenomenon.
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