Slow interaction ramps in trapped many-particle systems: universal deviations from adiabaticity

TL;DR

This paper reveals universal non-adiabatic features in trapped many-particle systems during slow interaction ramps, showing common dynamics across various quantum systems and dimensions.

Contribution

It demonstrates system-independent deviations from adiabaticity in diverse quantum systems, linking these to universal dynamics of system size or cloud radius.

Findings

Deviation from adiabaticity depends on ramp protocol

Universal features in heating across different systems

System size dynamics explain common non-adiabatic behavior

Abstract

For harmonic-trapped atomic systems, we report system-independent non-adiabatic features in the response to interaction ramps. We provide results for several different systems in one, two, and three dimensions: bosonic and fermionic Hubbard models realized through optical lattices, a Bose-Einstein condensate, a fermionic superfluid and a fermi liquid. The deviation from adiabaticity is characterized through the heating or excitation energy produced during the ramp. We find that the dependence of the heat on the ramp time is sensitive to the ramp protocol but has aspects common to all systems considered. We explain these common features in terms of universal dynamics of the system size or cloud radius.