Scarred ferromagnetic phase in the long-range transverse-field Ising model
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911523817914368 |
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| author | Corps, Ángel L. Relaño, Armando |
| author_facet | Corps, Ángel L. Relaño, Armando |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16421 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scarred ferromagnetic phase in the long-range transverse-field Ising model Corps, Ángel L. Relaño, Armando Statistical Mechanics Quantum Physics 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. |
| title | Scarred ferromagnetic phase in the long-range transverse-field Ising model |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2507.16421 |