|
Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
Eduardo Matteia, Jon Linksb a Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Rio de Janeiro, Brazil
b School of Mathematics and Physics, The University of Queensland, 4072, Australia
Abstract:
We introduce a Hamiltonian for two interacting $\mathfrak{su}(2)$ spins. We use a mean-field analysis and exact Bethe ansatz results to investigate the ground-state properties of the system in the classical limit, defined as the limit of infinite spin (or highest weight). Complementary insights are provided through investigation of the energy gap, ground-state fidelity, and ground-state entanglement, which are numerically computed for particular parameter values. Despite the simplicity of the model, a rich array of ground-state features are uncovered. Finally, we discuss how this model may be seen as an analogue of the exactly solvable $p+ip$ pairing Hamiltonian.
Keywords:
mean-field analysis; Bethe ansatz; quantum phase transition.
Received: July 23, 2013; in final form November 22, 2013; Published online November 30, 2013
Citation:
Eduardo Mattei, Jon Links, “Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian”, SIGMA, 9 (2013), 076, 15 pp.
Linking options:
https://www.mathnet.ru/eng/sigma859 https://www.mathnet.ru/eng/sigma/v9/p76
|
Statistics & downloads: |
Abstract page: | 160 | Full-text PDF : | 33 | References: | 24 |
|