Shortcuts to adiabatic pumping in classical stochastic and non-Hermitian systems

We consider adiabatic charge pumping in classical stochastic and non-Hermitian systems. If two control parameters are periodically and slowly modulated in time, it is known that the pumped charge contains a geometric contribution in addition to a dynamical one. In this adiabatic regime the geometric contribution is important because it enables non-zero charge pumping even at zero bias. Here, we make use of recent advances in shortcuts-to-adiabaticity to construct a control protocol which enables this geometric pumping to operate well beyond the adiabatic regime. We explicitly show that the pumped charge for the controlled dynamics is exactly given by the dynamic and geometric contributions [1].

[1] K. Funo, N. Lambert, F. Nori, C. Flindt, Phys. Rev. Lett. 124, 150603 (2020).