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

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.

v3: Published (expanded) version, 7+ pages, 4 figures. v2: Shorter, 4+ pages, 3 figures. Related preprint arXiv:1012.4492 describes similar dynamics for BEC only

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• Modulated trapping of interacting bosons in one dimension
• Time evolution during and after finite-time quantum quenches in Luttinger liquids
• Quantum crystal growing: Adiabatic preparation of a bosonic antiferromagnet in the presence of a parabolic inhomogeneity
• The Adiabatically Deformed Ensemble: Engineering Non-Thermal States of Matter
• Quasiadiabatic dynamics of ultracold bosonic atoms in a one-dimensional optical superlattice