journal article·2021-08-25Open access

Quantum phase transition of many interacting spins coupled to a bosonic bath: Static and dynamical properties

G. De Filippis, A. de Candia, A. S. Mishchenko, L. M. Cangemi, A. Nocera, P. A. Mishchenko, M. Sassetti, R. Fazio, N. Nagaosa, V. Cataudella

Physical Review B· Volume 104· Issue 6

Abstract

By using worldline and diagrammatic quantum Monte Carlo techniques, matrix product state, and a variational approach \`a la Feynman, we investigate the equilibrium properties and relaxation features of a quantum system of $N$ spins antiferromagnetically interacting with each other, with strength $J$, and coupled to a common bath of bosonic oscillators, with strength $\ensuremath{\alpha}$. We show that, in the Ohmic regime, a Beretzinski-Thouless-Kosterlitz quantum phase transition occurs. While for $J=0$ the critical value of $\ensuremath{\alpha}$ decreases asymptotically with $1/N$ by increasing $N$, for nonvanishing $J$ it turns out to be practically independent on $N$, allowing to identify a finite range of values of $\ensuremath{\alpha}$ where spin phase coherence is preserved also for large $N$. Then, by using matrix product state simulations, and the Mori formalism and the variational approach \`a la Feynman jointly, we unveil the features of the relaxation, that, in particular, exhibits a nonmonotonic dependence on the temperature reminiscent of the Kondo effect. For the observed quantum phase transition we also establish a criterion analogous to that of the metal-insulator transition in solids.
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Research context

OpenAlex topics: Physics of Superconductivity and Magnetism · Quantum and electron transport phenomena · Quantum many-body systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

SPIN-CNR and Dip. di Fisica - Università di Napoli Federico II - I-80126 Napoli, Italy

INFN, Sezione di Napoli - Complesso Universitario di Monte S. Angelo - I-80126 Napoli, Italy

RIKEN Center for Emergent Matter Science, Wako, Saitama 351-0198, Japan

Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z4

Department of Physics Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1

NTT Secure Platform Laboratories, Tokyo 180-8585, Japan

Dipartimento di Fisica, Università di Genova, I-16146 Genova, Italy

SPIN-CNR, I-16146 Genova, Italy

ICTP, Strada Costiera 11, I-34151 Trieste, Italy

NEST, Istituto Nanoscienze-CNR, I-56126 Pisa, Italy

Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan

Funding

Ministero dell’Istruzione, dell’Università e della Ricerca · Canada First Research Excellence Fund · Natural Sciences and Engineering Research Council of Canada · Japan Science and Technology Agency

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