Tricritical point in the quantum Hamiltonian mean-field model

Harald Schmid, Johannes Dieplinger, Andrea Solfanelli, Sauro Succi, and Stefano Ruffo
Phys. Rev. E 106, 024109 – Published 8 August 2022

Abstract

Engineering long-range interactions in experimental platforms has been achieved with great success in a large variety of quantum systems in recent years. Inspired by this progress, we propose a generalization of the classical Hamiltonian mean-field model to fermionic particles. We study the phase diagram and thermodynamic properties of the model in the canonical ensemble for ferromagnetic interactions as a function of temperature and hopping. At zero temperature, small charge fluctuations drive the many-body system through a first-order quantum phase transition from an ordered to a disordered phase. At higher temperatures, the fluctuation-induced phase transition remains first order initially and switches to second-order only at a tricritical point. Our results offer an intriguing example of tricriticality in a quantum system with long-range couplings, which bears direct experimental relevance. The analysis is performed by exact diagonalization and mean-field theory.

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  • Received 23 February 2022
  • Accepted 21 July 2022

DOI:https://doi.org/10.1103/PhysRevE.106.024109

©2022 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsQuantum Information, Science & Technology

Authors & Affiliations

Harald Schmid1, Johannes Dieplinger2, Andrea Solfanelli3, Sauro Succi4,5, and Stefano Ruffo3,6

  • 1Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany
  • 2Institute for Theoretical Physics, Universität Regensburg, 93040 Regensburg, Germany
  • 3SISSA and INFN Sezione di Trieste, Via Bonomea 265, I-34136 Trieste, Italy
  • 4Center for Life Nano&Neuro @ La Sapienza, Italian Institute of Technology, 00161 Roma, Italy
  • 5Physics Department, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA
  • 6Istituto dei Sistemi Complessi, Via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy

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Issue

Vol. 106, Iss. 2 — August 2022

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