Abstract
We apply the linked cluster expansion as well as the quench action approach to study the time evolution of one-point functions after a quantum quench in integrable field theories. We argue that the relaxation towards the stationary value fundamentally differs depending on the locality properties of the considered observable: while for local operators both exponential and power-law decaying terms are present in the dynamics, for semi-local operators the latter are absent. We explicitly confirm this for the Ising field theory, the sinh-Gordon model and the repulsive sine-Gordon model.
| Original language | English |
|---|---|
| Article number | 013103 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2025 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 21 Jan 2025 |
Bibliographical note
Publisher Copyright:© 2025 IOP Publishing Ltd and SISSA Medialab srl. All rights, including for text and data mining, AI training, and similar technologies, are reserved.
Funding
We thank Olalla Castro-Alvaredo, Jean-Sebastien Caux, Axel Cortes-Cubero, Benjamin Doyon, Fabian Essler, Jacopo De Nardis, Milosz Panfil, Stefano Scopa and Andrew Urichuk for useful discussions. This work is part of the D-ITP consortium, a program of the Dutch Research Council (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW).
| Funders |
|---|
| Nederlandse Organisatie voor Wetenschappelijk Onderzoek |
| Ministerie van onderwijs, cultuur en wetenschap |
Keywords
- Ising model
- quantum quench
- relaxation dynamics
- sine-Gordon model
- sinh-Gordon model