TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.5.2.027
TI  - Exact dynamical correlations of nonlocal operators in quadratic open Fermion systems: a characteristic function approach
PY  - 2022/05/03
UR  - https://scipost.org/SciPostPhysCore.5.2.027
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 5
IS  - 2
SP  - 027
A1  - Wang, Qing-Wei
AB  - The dynamical correlations of nonlocal operators in general quadratic open fermion systems is still a challenging problem. Here we tackle this problem by developing a new formulation of open fermion many-body systems, namely, the characteristic function approach. Illustrating the technique, we analyze a finite Kitaev chain with boundary dissipation and consider anyon-type nonlocal excitations. We give explicit formula for the Green's functions, demonstrating an asymmetric light cone induced by the anyon statistical parameter and an increasing relaxation rate with this parameter. We also analyze some other types of nonlocal operator correlations such as the full counting statistics of the charge number and the Loschmidt echo in a quench from the vacuum state. The former shows clear signature of a nonequilibrium quantum phase transition, while the later exhibits cusps at some critical times and hence demonstrates dynamical quantum phase transitions.
ER  -

@Article{10.21468/SciPostPhysCore.5.2.027,
	title={{Exact dynamical correlations of nonlocal operators in quadratic open Fermion systems: a characteristic function approach}},
	author={Qing-Wei Wang},
	journal={SciPost Phys. Core},
	volume={5},
	pages={027},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.5.2.027},
	url={https://scipost.org/10.21468/SciPostPhysCore.5.2.027},
}