Scarred ferromagnetic phase in the long-range transverse-field Ising model

• URL: http://arxiv.org/abs/2507.16421v1
• Date: Tue, 22 Jul 2025 10:12:31 GMT
• Title: Scarred ferromagnetic phase in the long-range transverse-field Ising model
• Authors: Ángel L. Corps, Armando Relaño,
• Abstract summary: We show that simple initial conditions, consisting in a few small magnetic domains, selectively populate these scarred states.<n>This leads to the appearance of a special dynamical phase, which we call scarred ferromagnetic phase.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We report the existence of a large set of ferromagnetic scarred states in the one-dimensional transverse-field Ising model with long-range interactions, in a regime with no ferromagnetic phase at finite temperature. These scarred states are distributed over different spectral regions, surrounded by paramagnetic states. We show that simple initial conditions, consisting in a few small magnetic domains, selectively populate these scarred states. This leads to the appearance of a special dynamical phase, which we call scarred ferromagnetic phase. As a consequence, initial states with a small number of small magnetic domains evolve towards ferromagnetic equilibrium states, whereas initial states with larger domains or no magnetic structure relax to the expected thermal paramagnetic equilibrium state.

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