2012/06/30 by Eduardo Mattei, Eduardo Cerutti Mattei, Jon Links
Computer Science · Mathematics · Physics and Astronomy · #Bethe ansatz #Condensed matter physics #Ground state #Hamiltonian (control theory) #Integrable system #Mathematical physics #Mathematics #Pairing #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Spins #cond-mat.str-el #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.3842/sigma.2013.076
published as SIGMA 9 (2013), 076, 15 pages
arxiv created 2013/11/30 · openalex publication_date 2013/11/30 · arxiv updated 2013/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a Hamiltonian for two interacting su(2) spins. We use a meanfield 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.