title: Shortcuts to adiabaticity from linear response theory.
abstract: A shortcut to adiabaticity is a finite-time process that produces the same final state as would result from infinitely slow driving. We show that such shortcuts can be found for weak perturbations from linear response theory. With the help of phenomenological response functions, a simple expression for the excess work is found-quantifying the nonequilibrium excitations. For two specific examples, i.e., the quantum parametric oscillator and the spin 1/2 in a time-dependent magnetic field, we show that finite-time zeros of the excess work indicate the existence of shortcuts. Finally, we propose a degenerate family of protocols, which facilitates shortcuts to adiabaticity for specific and very short driving times.
authors.affiliation: Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas - Unicamp, Rua Sérgio Buarque de Holanda 777, 13083-859 Campinas, São Paulo, Brazil.
authors.forename: Thiago V
authors.initials: TV
authors.lastname: Acconcia
authors.affiliation: Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas - Unicamp, Rua Sérgio Buarque de Holanda 777, 13083-859 Campinas, São Paulo, Brazil.
authors.forename: Marcus V S
authors.initials: MV
authors.lastname: Bonança
authors.affiliation: Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
authors.forename: Sebastian
authors.initials: S
authors.lastname: Deffner