Martín-Vázquez, G., Aarts, G., Müller, M., & Bermudez, A. (2022). Long-range ising interactions mediated by λ ϕ 4 fields: Probing the renormalization of sound in crystals of trapped ions. PRX Quantum, 3(2), 020352. https://doi.org/10.1103/PRXQuantum.3.020352

### Long-range ising interactions mediated by $$λϕ^{4}$$ fields : probing the renormalization of sound in crystals of trapped ions

Saved in:
Author: Martín-Vázquez, G.1,2; Aarts, G.3,4; Müller, M.5,6;
2Nano and Molecular Systems Research Unit, University of Oulu, Oulu 90014, Finland
3Department of Physics, Swansea University, Singleton Campus, Swansea SA2 8PP, United Kingdom
4European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler Strada delle Tabarelle 286, Villazzano, TN 38123, Italy
5Institute for Theoretical Nanoelectronics (PGI-2), Forschungszentrum Jülich, Jülich 52428, Germany
6JARA-Institute for Quantum Information, RWTH Aachen University, Aachen 52056, Germany
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 4.6 MB)
Language: English
Published: American Physical Society, 2022
Publish Date: 2022-07-07
Description:

# Abstract

The generating functional of a self-interacting scalar quantum field theory (QFT), which contains all the relevant information about real-time dynamics and scattering experiments, can be mapped onto a collection of multipartite-entangled two-level sensors via an interferometric protocol that exploits a specific set of source functions. Although one typically focuses on impulsive δ-like sources, as these give direct access to n-point Feynman propagators, we show in this work that using always-on harmonic sources can simplify substantially the sensing protocol. In a specific regime, the effective real-time dynamics of the quantum sensors can be described by a quantum Ising model with long-range couplings, the range and strength of which contains all the relevant information about the renormalization of the QFT, which can now be extracted in the absence of multipartite entanglement. We present a detailed analysis of how this sensing protocol can be relevant to characterize the long-wavelength QFT that describes quantized sound waves of trapped-ion crystals in the vicinity of a structural phase transition, opening a new route to characterize the associated renormalization of sound.

see all

Series: PRX quantum
ISSN: 2691-3399
ISSN-E: 2691-3399
ISSN-L: 2691-3399
Volume: 3
Issue: 2
Article number: 020352
DOI: 10.1103/prxquantum.3.020352
Type of Publication: A1 Journal article – refereed
Field of Science: 114 Physical sciences
Subjects:
Copyright information: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.