Effects of quantum pair creation and annihilation on a classical exclusion process: the transverse XY model with TASEP

Abstract We investigate how particle pair creation and annihilation, within the quantum transverse XY model, affects non-equilibrium steady state (NESS) Liouvillian gap of stochastic totally asymmetric exclusion process. By utilising operator quantization we formulate a perturbative description NESS. Furthermore, estimate by exploiting Majorana canonical basis as super-operators. In this manner show that can remain finite in thermodynamic limit provided model anisotropy parameter remains non-zero. Additionally, character with respect to differs depending on phase model. The change corresponds transition