TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.7.2.017
TI  - Thermalization of long range Ising model in different dynamical regimes: A full counting statistics approach
PY  - 2024/04/05
UR  - https://www.scipost.org/SciPostPhysCore.7.2.017
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 7
IS  - 2
SP  - 017
A1  - Ranabhat, Nishan
AU  - Collura, Mario
AB  - We study the thermalization of the transverse field Ising chain with a power law decaying interaction $\sim 1/r^{\alpha}$ following a global quantum quench of the transverse field in two different dynamical regimes. The thermalization behavior is quantified by comparing the full probability distribution function (PDF) of the evolving states with the corresponding thermal state given by the canonical Gibbs ensemble (CGE). To this end, we used the matrix product state (MPS)-based Time Dependent Variational Principle (TDVP) algorithm to simulate both real time evolution following a global quantum quench and the finite temperature density operator. We observe that thermalization is strongly suppressed in the region with strong confinement for all interaction strengths $\alpha$, whereas thermalization occurs in the region with weak confinement.
ER  -

@Article{10.21468/SciPostPhysCore.7.2.017,
	title={{Thermalization of long range Ising model in different dynamical regimes: A full counting statistics approach}},
	author={Nishan Ranabhat and Mario Collura},
	journal={SciPost Phys. Core},
	volume={7},
	pages={017},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.7.2.017},
	url={https://scipost.org/10.21468/SciPostPhysCore.7.2.017},
}