Fast frictionless dynamics as a toolbox for low-dimensional Bose-Einstein condensates

Abstract

A method is proposed to implement a fast frictionless dynamics in a low-dimensional Bose-Einstein condensate by engineering the time-dependence of the transverse confining potential in a highly anisotropic trap. The method exploits the inversion of the dynamical self-similar scaling law in the radial degrees of freedom. We discuss the application of the method to preserve short-range correlations in time of flight experiments, the implementation of nearly-sudden quenches of non-linear interactions, and its power to assist self-similar dynamics in quasi-one dimensional condensates.

5 pages, 2 figures, title changed, substantially rewritten version accepted in EPL

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Fast optimal frictionless atom cooling in harmonic traps
• Exact coherent states of a harmonically confined Tonks-Girardeau gas
• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Fast optimal transition between two equilibrium states
• Exact hydrodynamics of a trapped dipolar Bose-Einstein condensate
• Frictionless dynamics of Bose-Einstein condensates under fast trap variations
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• Frictionless atom cooling in harmonic traps: a time-optimal approach
• Scaling approach to quantum non-equilibrium dynamics of many-body systems
• Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
• Exact numerical simulations of a one-dimensional, trapped Bose gas
• Bose-Einstein condensates under a spatially-modulated transverse confinement
• Preparation of atomic Fock states by trap reduction
• Atom Fock state preparation by trap reduction
• Density ripples in expanding low-dimensional gases as a probe of correlations

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