We consider the quantum dynamics of a neutral atom Bose-Einstein condensate in a double-well potential, including many-body hard-sphere interactions. Using a mean-field factorization we show that the coherent oscillations due to tunneling are suppressed when the number of atoms exceeds a critical value. An exact quantum solution, in a two-mode approximation, shows that the mean-field solution is modulated by a quantum collapse and revival sequence.

https://espace.library.uq.edu.au/view/UQ:57716/UQ57716.pdf

Quantum dynamics of an atomic Bose-Einstein condensate in a double-well potential

Discrete Solitons in Optics

We show that a nonlinear array of coupled waveguides can exhibit discrete self-focusing that in the continuum approximation obeys the so-called nonlinear Schrodinger equation. This process has much in common with the biophysical model of Davydov.

Discrete self-focusing in nonlinear arrays of coupled waveguides.

Discrete breathers — Advances in theory and applications

The authors give a brief historic perspective of the coupled mode theory. The development and applications of the theory in microwaves in early years and in optoelectronics and fiber optics in recent years are described. They then consider lossless coupling of two modes in time. Two coupled resonance circuits, or two coupled microwave or optical resonators, are the physical examples. The start-up of a parametric oscillator is another example. Then they look at the formal derivation of coupled mode theory and consider the more general case when the modes are not energy-orthogonal and the energies are not necessarily positive. A more detailed account of the nonorthogonal coupled mode theory developed in the last five years for optical waveguides is given. >

Coupled-mode theory

This paper discusses the nonlinear coherent coupler (NLCC), a device useful for optical processing, but not bistable. This device utilizes the coherent interaction of two optical waveguides placed in close proximity. Because of the evanescent field overlap, these waveguides periodically exchange power. Nonlinear interactions modify the exchange of power and lead to strongly nonlinear transmission characteristics.

The nonlinear coherent coupler

The Nonlinear Coherent Coupler

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The nonlinear coherent coupler

The Nonlinear Coherent Coupler