10.6084/m9.figshare.1012070.v1 M J Edmonds M J Edmonds M Valiente M Valiente P Öhberg P Öhberg Lines of constant energy, with <em>z</em> versus IOP Publishing 2013 nonrigid pendulum frac hamiltonian dynamic analyse lbrace term figure solution 0. bose presence 0.5 subject nonlinear Josephson equations abstract condensate trajectorie gamma Atomic Physics Molecular Physics 2013-06-24 00:00:00 Figure https://iop.figshare.com/articles/figure/_Lines_of_constant_energy_with_em_z_em_versus_img_src_http_ej_iop_org_icons_Entities_phiv_gif_alt_ph/1012070 <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>