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Long-range interacting quantum systems

Nicolò Defenu*, Tobias Donner, Tommaso Macrì, Guido Pagano, Stefano Ruffo, and Andrea Trombettoni

Nicolò Defenu*

  • Institute for Theoretical Physics, ETH Zürich, Wolfgang-Pauli-Straße 27, 8093 Zürich, Switzerland

Tobias Donner

  • Institute for Quantum Electronics, ETH Zürich, Otto-Stern-Weg 1, 8093 Zürich, Switzerland

Tommaso Macrì

  • QuEra Computing, Inc., 1284 Soldiers Field Road, Boston, Massachusetts 02135, USA, ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA, and Departamento de Física Téorica e Experimental and International Institute of Physics, Universidade Federal do Rio Grande do Norte, 59072-970 Natal, Brazil

Guido Pagano

  • Department of Physics and Astronomy, Rice University, 6100 Main Street, Houston, Texas 77005, USA

Stefano Ruffo

  • SISSA and INFN, Sezione di Trieste, Via Bonomea 265, I-34136 Trieste, Italy and CNR-ISC, Via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy

Andrea Trombettoni

  • Department of Physics, University of Trieste, Strada Costiera 11, I-34151 Trieste and CNR-IOM DEMOCRITOS Simulation Centre and SISSA, Via Bonomea 265, I-34136 Trieste, Italy

  • *ndefenu@phys.ethz.ch
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Rev. Mod. Phys. 95, 035002 – Published 29 August, 2023

DOI: https://doi.org/10.1103/RevModPhys.95.035002

Abstract

In this review recent investigations are summarized of many-body quantum systems with long-range interactions, which are currently realized in Rydberg atom arrays, dipolar systems, trapped-ion setups, and cold atoms in cavities. In these experimental platforms parameters can be easily changed, and control of the range of the interaction has been achieved. The main aim of the review is to present and identify the common and mostly universal features induced by long-range interactions in the behavior of quantum many-body systems. Discussed are the case of strong nonlocal couplings, i.e., the nonadditive regime, and the one in which energy is extensive, but low-energy, long-wavelength properties are altered with respect to the short-range case. When possible, comparisons with the corresponding results for classical systems are presented. Finally, cases of competition with local effects are also reviewed.

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Rev. Mod. Phys. 95, 035002– Published 29 August, 2023
  • Received 25 June 2021
Article part of CHORUS
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