Integrability and dark states in an anisotropic central spin model

T Villazon, A Chandran, PW Claeys - Physical Review Research, 2020 - APS
Central spin models describe a variety of quantum systems in which a spin-1 2 qubit
interacts with a bath of surrounding spins, as realized in quantum dots and defect centers in …

Anisotropic BCS-Richardson model and algebraic Bethe ansatz

T Skrypnyk - Nuclear Physics B, 2022 - Elsevier
We consider the limiting j 3→∞ case of the elliptic Gaudin-type model in an external
magnetic field [13],[14],[15],[17],[27] and of the elliptic BCS-Richardon model with one type of …

Integrable spin-1/2 Richardson-Gaudin XYZ models in an arbitrary magnetic field

PW Claeys, C Dimo, S De Baerdemacker… - arXiv preprint arXiv …, 2018 - arxiv.org
We establish the most general class of spin-1/2 integrable Richardson-Gaudin models
including an arbitrary magnetic field, returning a fully anisotropic (XYZ) model. The …

[HTML][HTML] Classical r-matrices,“elliptic” BCS and Gaudin-type hamiltonians and spectral problem

T Skrypnyk - Nuclear Physics B, 2019 - Elsevier
In this article we make a brief review of the generalized Gaudin spin chains with [21] and
without [18],[19] external magnetic field in the simplest case of g= so (3) and provide the r …

Twisted rational r-matrices and algebraic Bethe ansatz: Application to generalized Gaudin and Richardson models

T Skrypnyk, N Manojlović - Nuclear Physics B, 2021 - Elsevier
In the present paper we develop the algebraic Bethe ansatz approach to the case of non-
skew-symmetric gl (2)⊗ gl (2)-valued Cartan-non-invariant classical r-matrices with spectral …

Ground-state energy of a Richardson-Gaudin integrable BCS model

Y Shen, P Isaac, J Links - SciPost Physics Core, 2020 - scipost.org
We investigate the ground-state energy of a Richardson-Gaudin integrable BCS model,
generalizing the closed and open p+ ip models. The Hamiltonian supports a family of …

Thermodynamic limit of the XXZ central spin model with an arbitrary central magnetic field

FK Wen, K Hao - Chinese Physics B, 2023 - iopscience.iop.org
The U (1) symmetry of the XXZ central spin model with an arbitrary central magnetic field B is
broken, since its total spin in the z-direction is not conserved. We obtain the exact solutions …

Read-Green points and level crossings in XXZ central spin models and topological superconductors

A Faribault, H Koussir, MH Mohamed - Physical Review B, 2019 - APS
In this work, we study the full set of eigenstates of apx+ ipy topological superconductor
coupled to a particle bath, which can be described in terms of an integrable Hamiltonian of …

[HTML][HTML] Bethe states and Knizhnik-Zamolodchikov equations of the trigonometric Gaudin model with triangular boundary

I Salom, N Manojlović - Nuclear Physics B, 2021 - Elsevier
We present a comprehensive treatment of the non-periodic trigonometric s ℓ (2) Gaudin
model with triangular boundary, with an emphasis on specific freedom found in the local …

Efficient Control of Open Quantum Systems

TV Scholer - 2021 - search.proquest.com
A major challenge in the field of condensed matter physics is to harness the quantum
mechanical properties of atomic systems coupled to large environments. Thermal …