Nonadiabatic Control of Geometric Pumping
Kazutaka Takahashi, Keisuke Fujii, Yuki Hino, Hisao Hayakawa
Abstract
We study nonadiabatic effects of geometric pumping. With arbitrary choices of periodic control parameters, we go beyond the adiabatic approximation to obtain the exact pumping current. We find that a geometrical interpretation for the nontrivial part of the current is possible even in the nonadiabatic regime. The exact result allows us to find a smooth connection between the adiabatic Berry phase theory at low frequencies and the Floquet theory at high frequencies. We also study how to control the geometric current. Using the method of shortcuts to adiabaticity with the aid of an assisting field, we illustrate that it enhances the current.
Topics & Concepts
Floquet theoryGeometric phaseAdiabatic processPhysicsCurrent (fluid)Adiabatic theoremInterpretation (philosophy)Phase (matter)Field (mathematics)Connection (principal bundle)Classical mechanicsQuantum mechanicsGeometryMathematicsComputer scienceProgramming languageNonlinear systemThermodynamicsPure mathematicsAdvanced Thermodynamics and Statistical MechanicsQuantum many-body systemsTopological Materials and Phenomena