Quantum quenches with long range interactions

Year: 2025

Authors: Sorba M., Defenu N., Delfino G.

Autors Affiliation: Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland; CNR, INO, Area Sci Pk, I-34149 Trieste, Italy; SISSA, Via Bonomea 265, I-34136 Trieste, Italy; INFN, Sez Trieste, I-34100 Trieste, Italy.

Abstract: We extend the theory of quantum quenches to the case of d-dimensional homogeneous systems with long range interactions. This is achieved treating the long range interactions as switched on by the quench and performing the derivation within the basis of asymptotic states of the short range interacting pre-quench theory. In this way we analytically determine the post-quench state and the one-point functions of local observables such as the order parameter. One implication is that, as in the short range case, some oscillations induced by the quench remain undamped at large times under conditions specified by the theory. This explains, in particular, why such undamped oscillations have been numerically observed also in presence of long range interactions.

Journal/Review: NUCLEAR PHYSICS B

Volume: 1019      Pages from: 117105-1  to: 117105-7

More Information: ND acknowledges funding by the Swiss National Science Foundation (SNSF) under project ID: 200021 207537, by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster) and by the European Union under GA No. 101077500-QLR-Net, and partial support by grant NSF PHY-230935 to The Kavli Institute for Theoretical Physics (KITP) .
KeyWords: Ising-model
DOI: 10.1016/j.nuclphysb.2025.117105