A spin chain model with non-Hermitian interaction: the Ising quantum spin chain in an imaginary field

DOI10.1088/1751-8113/42/46/465211zbMath1179.82025arXiv0906.4070OpenAlexW2036523055MaRDI QIDQ3650345

Andreas Fring, Olalla A. Castro-Alvaredo

Publication date: 14 December 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4070

zbMATH Keywords

Dyson mapIsing quantum spin chainYang-Lee model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

Related Items (9)

Jordan blocks and the Bethe ansatz. I: The eclectic spin chain as a limit ⋮ Irreversibility of the renormalization group flow in non-unitary quantum field theory ⋮ Exact solution of a non-Hermitian PT -symmetric spin chain ⋮ Non-Hermitian spin chains with inhomogeneous coupling ⋮ \(\mathcal{PT}\) invariant complex \(E_{8}\) root spaces ⋮ Constructing exactly solvable pseudo-Hermitian many-particle quantum systems by isospectral deformation ⋮ Entanglement entropy of non-unitary integrable quantum field theory ⋮ Time-dependent \(\mathcal{C}\)-operators as Lewis-Riesenfeld invariants in non-Hermitian theories ⋮ Exotic entanglement for non-Hermitian Jaynes–Cummings Hamiltonians

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