Geometricities of driven transport in presence of reservoir squeezing

TL;DR

This paper investigates how simultaneous reservoir squeezing and driving affect boson transport statistics, revealing symmetry properties, loss of geometricity at high squeezing, and conditions for fluctuation theorem recovery.

Contribution

It introduces the combined effects of squeezing and driving on geometric transport properties and demonstrates the robustness of a modified thermodynamic uncertainty principle.

Findings

Symmetry of geometric cumulants with respect to squeezing parameters

Loss of geometricity with increasing squeezing strength

Recovery of fluctuation theorem under maximum squeezing

Abstract

In a bare site coupled to two reservoirs, we explore the statistics of boson exchange in the presence of two simultaneous processes: squeezing the two reservoirs and driving the two reservoirs. The squeezing parameters compete with the geometric phaselike effect or geometricity to alter the nature of the steadystate flux and noise. The even (odd) geometric cumulants and the total minimum entropy are found to be symmetric (antisymmetric) with respect to exchanging the left and right squeezing parameters. Upon increasing the strength of the squeezing parameters, loss of geometricity is observed. Under maximum squeezing, one can recover a standard steadystate fluctuation theorem even in the presence of phase different driving protocol. A recently proposed modified geometric thermodynamic uncertainty principle is found to be robust.