17-22 July 2022
Royal Conservatory of Music, Toronto
America/Toronto timezone

A modified variational method for a quantum gas in a constrained surface

19 Jul 2022, 17:00
1h 30m
Hart House (Hart House)

Hart House

Hart House

7 Hart House Cir, Toronto, ON M5S 3H3
Poster presentation Degenerate gases, many-body physics, and quantum simulation Poster session

Description

Confined quantum gases in a toroidal-like potential can be studied by a variational method using the like-Gross-Pitaevskii equations. The variational approach determines the dynamics of the quantum cloud, as the evolution of the aspect ratio during the free expansion of the cloud and the collective modes. We adapted the variational method to parametrize on a curved surface and effective dynamics. We use the thin-layer quantization scheme, focusing on three-dimensional surfaces, thus resorting to the Schrödinger equation for a particle with constrained dynamics to a curved surface. We propose a hybrid Lagrangian density and split the wave function into two parts: the normal and a tangential component to the surface that allow us to study the system through the extension of the variational method. Finally, we obtain the equations of motion that describe the dynamics separately in the normal and tangential parts on the surface.

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Presenter name Ana Karen Cuervo Montiel

Primary authors

Ana Karen Cuervo Montiel (Facultad de Ciencias UNAM) Freddy Jackson Poveda Cuevas (Cátedras Conacyt - Instituto de Física - Universidad Nacional Autónoma de México)

Presentation Materials

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