Characterization of Quantum and Classical Critical Points for an Integrable Two-Qubit Spin

Characterization of Quantum and Classical Critical Points for an Integrable Two-Qubit Spin–Boson Model

Published:2023-12-07 Issue:12 Volume:15 Page:2174
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Grimaudo Roberto¹^ORCID,Messina Antonino²^ORCID,Nakazato Hiromichi³^ORCID,Sergi Alessandro⁴⁵^ORCID,Valenti Davide⁶^ORCID

Affiliation:

1. Dipartimento di Fisica e Astronomia “E. Majorana", Università degli Studi di Catania, Via S. Sofia 64, I-95123 Catania, Italy

2. Dipartimento di Matematica e Infrormatica, Università degli Studi di Palermo, Via Archirafi 34, I-90123 Palermo, Italy

3. Department of Physics, Waseda University, Tokyo 169-8555, Japan

4. Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università degli Studi di Messina, Viale F. Stagno d’Alcontres 31, I-98166 Messina, Italy

5. Institute of Systems Science, Durban University of Technology, P.O. Box 1334, Durban 4000, South Africa

6. Dipartimento di Fisica e Chimica “Emilio Segrè", Università degli Studi di Palermo, Viale delle Scienze, Ed. 18, I-90128 Palermo, Italy

Abstract

The class of two-interacting-qubit spin–boson models with vanishing transverse fields on the spin-pair is studied. The model can be mapped exactly into two independent standard single-impurity spin–boson models where the role of the tunneling parameter is played by the spin–spin coupling. The dynamics of the magnetization are analyzed for different levels of (an)isotropy. The existence of a decoherence-free subspace, as well as of different classical regimes separated by a critical temperature, and symptoms of quantum (first-order and Kosterlitz–Thouless type) phase transitions in the Ohmic regime are brought to light.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/12/2174/pdf

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