Josephson oscillations in split one-dimensional Bose gases

Abstract

We consider the non-equilibrium dynamics of a weakly interacting Bose gas tightly confined to a highly elongated double well potential. We use a self-consistent time-dependent Hartree--Fock approximation in combination with a projection of the full three-dimensional theory to several coupled one-dimensional channels. This allows us to model the time-dependent splitting and phase imprinting of a gas initially confined to a single quasi one-dimensional potential well and obtain a microscopic description of the ensuing damped Josephson oscillations.

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• A short introduction to Generalized Hydrodynamics
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• Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
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• Dynamical control of particle jets from a driven condensate in a one-dimensional lattice with double-well potential
• Electric-Field Control of Josephson Oscillations in Dipolar Bose-Einstein Condensates