Lines of constant energy, with <em>z</em> versus

2013-06-24T00:00:00Z (GMT) by M J Edmonds M Valiente P Öhberg
<p><strong>Figure 2.</strong> Lines of constant energy, with <em>z</em> versus . The initial conditions were <em>z</em>(0) = 0.5 and (0) = π. Figure (a) shows the numerical solutions to equations (<a href="http://iopscience.iop.org/0953-4075/46/13/134013/article#jpb461793eqn20" target="_blank">20</a>) and (<a href="http://iopscience.iop.org/0953-4075/46/13/134013/article#jpb461793eqn21" target="_blank">21</a>) with Λ = 2, while in (b) Λ = 0. The smallest to largest curves in each figure correspond to \gamma _1=\lbrace 0,\frac{1}{2},2\rbrace , respectively.</p> <p><strong>Abstract</strong></p> <p>We investigate the coherent dynamics of a Bose–Einstein condensate in a double well, subject to a density-dependent gauge potential. Further, we derive the nonlinear Josephson equations that allow us to understand the many-body system in terms of a classical Hamiltonian that describes the motion of a nonrigid pendulum with an initial angular offset. Finally we analyse the phase-space trajectories of the system, and describe how the self-trapping is affected by the presence of an interacting gauge potential.</p>