Quantum many-body spin rings coupled to ancillary spins: The sunburst quantum Ising model

Alessio Franchi, Davide Rossini, and Ettore Vicari
Phys. Rev. E 105, 054111 – Published 5 May 2022

Abstract

We study the ground-state properties of a quantum sunburst model, composed of a quantum Ising spin ring in a transverse field, symmetrically coupled to a set of ancillary isolated qubits, to maintain a residual translation invariance and also a Z2 symmetry. The large-size limit is taken in two different ways: either by keeping the distance between any two neighboring ancillary qubits fixed or by fixing their number while increasing the ring size. Substantially different regimes emerge, depending on the various Hamiltonian parameters: For small energy scale δ of the ancillary subsystem and small ring-qubit interaction κ, we observe rapid and nonanalytic changes in proximity to the quantum transitions of the Ising ring, both first order and continuous, which can be carefully controlled by exploiting renormalization-group and finite-size scaling frameworks. Smoother behaviors are instead observed when keeping δ>0 fixed and in the Ising disordered phase. The effect of an increasing number n of ancillary spins turns out to scale proportionally to n for sufficiently large values of n.

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  • Received 24 February 2022
  • Accepted 20 April 2022

DOI:https://doi.org/10.1103/PhysRevE.105.054111

©2022 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Alessio Franchi, Davide Rossini, and Ettore Vicari*

  • Dipartimento di Fisica, Università di Pisa and INFN, Largo Pontecorvo 3, 56127 Pisa, Italy

  • *Authors are listed in alphabetic order.

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Issue

Vol. 105, Iss. 5 — May 2022

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