Kavanagh, K and Dooley, S and Slingerland, J K and Kells, Graham (2022) Effects of quantum pair creation and annihilation on a classical exclusion process: the transverse XY model with TASEP. New Journal of Physics (NJP), 24 (023024). pp. 1-18. ISSN 1367-2630

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Abstract

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

Item Type:	Article
Keywords:	non-equilibrium steady state; Liouvillian gap; ASEP; XY model; Lindblad;
Academic Unit:	Faculty of Science and Engineering > Theoretical Physics
Item ID:	18118
Identification Number:	https://doi.org/10.1088/1367-2630/ac4ee1
Depositing User:	Graham Kells
Date Deposited:	06 Feb 2024 12:34
Journal or Publication Title:	New Journal of Physics (NJP)
Publisher:	Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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