Confinement and false vacuum decay on the Potts quantum spin chain
Octavio Pomponio, Anna Krasznai, Gábor Takács
SciPost Phys. 18, 082 (2025) · published 5 March 2025
- doi: 10.21468/SciPostPhys.18.3.082
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Abstract
We consider non-equilibrium dynamics after quantum quenches in the mixed-field three-state Potts quantum chain in the ferromagnetic regime. Compared to the analogous setting for the Ising spin chain, the Potts model has a much richer phenomenology, which originates partly from baryonic excitations in the spectrum and partly from the various possible relative alignments of the initial magnetisation and the longitudinal field. We obtain the excitation spectrum by combining semiclassical approximation and exact diagonalisation, and we use the results to explain the various dynamical behaviours we observe. Besides recovering dynamical confinement, as well as Wannier-Stark localisation due to Bloch oscillations similar to the Ising chain, a novel feature is the presence of baryonic excitations in the quench spectroscopy. In addition, when the initial magnetisation and the longitudinal field are misaligned, both confinement and Bloch oscillations only result in partial localisation, with some correlations retaining an unsuppressed light-cone behaviour together with a corresponding growth of entanglement entropy.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Octavio Pomponio,
- 3 Anna Krasznai,
- 3 Gábor Takács
- 1 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- 2 INFN Sezione di Trieste / INFN Trieste
- 3 Budapesti Műszaki és Gazdaságtudományi Egyetem / Budapest University of Technology and Economics [BUTE]
- Budapesti Műszaki és Gazdaságtudományi Egyetem / Budapest University of Technology and Economics [BUTE]
- Consiglio Nazionale delle Ricerche (CNR) (through Organization: Consiglio Nazionale Delle Ricerche / Italian National Research Council [CNR])
- European Research Council [ERC]
- Innovációs és Technológiai Minisztérium
- Magyar Tudományos Akadémia / Hungarian Academy of Sciences [MTA]
- Nemzeti Kutatási, Fejlesztési és Innovaciós Alap
- Nemzeti Kutatási, Fejlesztési és Innovációs Hivatal / National Research, Development and Innovation Office [NKFIH]