# The stochastic pump current and the non-adiabatic geometrical phase

Source: [The stochastic pump current and the non-adiabatic geometrical phase](<https://www.sota2.com/research/paper/68fa27f22c2a3760193c5dc9>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:49.360Z

Authors: Jun Ohkubo

Published: 2007-12-04T04:20:55.000Z

## Abstract

We calculate a pump current in a classical two-state stochastic chemical kinetics by means of the non-adiabatic geometrical phase interpretation. The two-state system is attached to two particle reservoirs, and under a periodic perturbation of the kinetic rates, it gives rise to a pump current between the two-state system and the absorbing states. In order to calculate the pump current, the Floquet theory for the non-adiabatic geometrical phase is extended from a Hermitian case to a non-Hermitian case. The dependence of the pump current on the frequency of the perturbative kinetic rates is explicitly derived, and a stochastic resonance-like behavior is obtained.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0712.0432>)

[PDF](<https://arxiv.org/pdf/0712.0432.pdf>)