Lattice Effects on Interacting Bosons and their Vortex Dynamics
Lattice Effects on Interacting Bosons and their Vortex Dynamics
Lattice Effects on Interacting Bosons and their Vortex Dynamics
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Magnus semiclassical dynamics<br />
X number of bos<strong>on</strong>s enclosed by C<br />
Analogy:<br />
a vortex behaves as a charge in a str<strong>on</strong>g<br />
magnetic field of magnitude<br />
<strong>Vortex</strong> follows equipotential c<strong>on</strong>tours,<br />
i.e. “Goes With The Flow”<br />
Warning: SC dynamics are valid <strong>on</strong>ly for<br />
1. smooth potentials<br />
2. no Umklapp scattering of a lattice
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