Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain

• URL: http://arxiv.org/abs/2411.04089v1
• Date: Wed, 06 Nov 2024 18:08:48 GMT
• Title: Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
• Authors: Vanja Marić, Florent Ferro, Maurizio Fagotti,
• Abstract summary: We consider time evolution of order parameters and entanglement asymmetries in the ferromagnetic phase of the transverse-field Ising chain. We focus on the disorder-order interface in which the order parameter attains a nonzero value, different from the ground state one. We analyze the R'enyi entanglement asymmetries of subsystems and obtain a prediction that is expected to hold also in the von Neumann limit.
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• 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 R\'enyi 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.

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