Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit
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| Format: | Preprint |
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2025
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| _version_ | 1866910118904332288 |
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| author | Krasznai, Anna Rutkevich, Sergei Takács, Gábor |
| author_facet | Krasznai, Anna Rutkevich, Sergei Takács, Gábor |
| contents | We investigate the dynamics of the three-state Potts quantum spin chain in the extreme ferromagnetic limit using a perturbative expansion in the transverse magnetic field. We demonstrate that a perturbative approach provides access to important features beyond the reach of previous studies, most notably the description of resonant excitations and the analytic prediction of post-quench time evolution. A central focus is the oblique quench regime - a feature unique to the Potts model with no Ising counterpart - in which unconfined kink excitations hybridise with the two-kink bound states. We provide a detailed examination of the analytic structure of the two-kink scattering amplitude, tracing the transformation of stable excitations into resonances near stability thresholds. Our analytical results for the excitation spectra and magnetisation dynamics show excellent agreement with numerical simulations of non-equilibrium dynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_20821 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit Krasznai, Anna Rutkevich, Sergei Takács, Gábor Statistical Mechanics High Energy Physics - Theory We investigate the dynamics of the three-state Potts quantum spin chain in the extreme ferromagnetic limit using a perturbative expansion in the transverse magnetic field. We demonstrate that a perturbative approach provides access to important features beyond the reach of previous studies, most notably the description of resonant excitations and the analytic prediction of post-quench time evolution. A central focus is the oblique quench regime - a feature unique to the Potts model with no Ising counterpart - in which unconfined kink excitations hybridise with the two-kink bound states. We provide a detailed examination of the analytic structure of the two-kink scattering amplitude, tracing the transformation of stable excitations into resonances near stability thresholds. Our analytical results for the excitation spectra and magnetisation dynamics show excellent agreement with numerical simulations of non-equilibrium dynamics. |
| title | Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit |
| topic | Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.20821 |