Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
Abstract
We consider time evolution of order parameters and entanglement asymmetries in the ferromagnetic phase of the transverse-field Ising chain. One side of the system is prepared in a ferromagnetic ground state and the other side either in equilibrium at higher temperature or out of equilibrium. We focus on the disorder-order interface in which the order parameter attains a nonzero value, different from the ground state one. In that region, correlations follow a universal behaviour. We analytically compute the asymptotic scaling functions of the one- and two-point equal time correlations of the order parameter and provide numerical evidence that also the non-equal time correlations are universal. We analyze the Rényi entanglement asymmetries of subsystems and obtain a prediction that is expected to hold also in the von Neumann limit. Finally, we show that the Wigner-Yanase skew information of the order paramerter in subsystems within the interfacial region scales as their length squared. We propose a semiclassical approximation that is particularly effective close to the edge of the lightcone.
Related
- Ground-State Phase Diagram of the Effective Model with Antiferromagnetic Nearest-Neighbor and Ferromagnetic Next-Nearest-Neighbor Interactions in 1/1 Periodic Approximants to Icosahedral Quasicrystals
- Intercalation of Ultrathin Ferromagnetic Iron Films at the Graphene/SiC Interface
- Topological Hall Effect Induced by Chiral Spin Textures at the Ferroelectric/Ferromagnetic Interface
- Effects of on-site Gaussian disorder in the ferromagnetic Blume Capel model
- Generating Superposition of Transverse Ising Ground States by Quantum Interaction
BibTeX
@article{maric2026disorderorder,
title = {{Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain}},
author = {Vanja Marić and Florent Ferro and Maurizio Fagotti},
journal = {Physical Review B},
year = {2026},
month = oct,
doi = {10.1103/physrevb.111.205118},
eprint = {2411.04089},
archivePrefix = {arXiv},
url = {https://hal.science/hal-04805263v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
AU - Vanja Marić
AU - Florent Ferro
AU - Maurizio Fagotti
PY - 2026
DA - 2026/10/01
JO - Physical Review B
DO - 10.1103/physrevb.111.205118
UR - https://hal.science/hal-04805263v1
AB - We consider time evolution of order parameters and entanglement asymmetries in the ferromagnetic phase of the transverse-field Ising chain. One side of the system is prepared in a ferromagnetic ground state and the other side either in equilibrium at higher temperature or out of equilibrium. We focus on the disorder-order interface in which the order parameter attains a nonzero value, different from the ground state one. In that region, correlations follow a universal behaviour. We analytically compute the asymptotic scaling functions of the one- and two-point equal time correlations of the order parameter and provide numerical evidence that also the non-equal time correlations are universal. We analyze the Rényi entanglement asymmetries of subsystems and obtain a prediction that is expected to hold also in the von Neumann limit. Finally, we show that the Wigner-Yanase skew information of the order paramerter in subsystems within the interfacial region scales as their length squared. We propose a semiclassical approximation that is particularly effective close to the edge of the lightcone.
SN - 2469-9950
SN - 2469-9969
ER -