A new method of diagonalization of the XY-Hamiltonian of inhomogeneous open linear chains with periodic (in space) changing Larmor frequencies and coupling constants is developed. As an example of application, multiple-quantum dynamics of an inhomogeneous chain consisting of 1001 spins is investigated. Intensities of multiple-quantum coherences are calculated for arbitrary inhomogeneous chains in the approximation of the next-nearest interactions.

arXiv:quant-ph/0510070Journal of Physics A Mathematical and GeneralJan 18, 200615 citations

Dynamical properties of phonons in the XY spin chain coupled with lattices

Fei Ye, Guo-Hui Ding, Bo-Wei Xu

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arXiv:1909.07666 · The European Physical Journal B

Dynamics of a periodic XY chain coupled to a photon mode

Stanislav Varbev, Iavor Boradjiev, Hristo Tonchev, Hassan Chamati

Published Jul 1, 2020• 2 citations

arXiv HTML PDF

DOI: 10.1140/epjb/e2020-10262-7

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We study the dynamical properties of the phonons in the $\mathrm{XY}$ spin chain coupled with lattices subjected to the applied magnetic field with the path-integral approach. Dynamical structure factor is calculated in the presence of the magnetic field. A critical value of the bare \ensuremath{\pi}-mode phonon frequency ${\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ is given such that for ${\ensuremath{\Omega}}_{\ensuremath{\pi}}<{\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ the spin-Peierls transition is in the soft-mode regime and for ${\ensuremath{\Omega}}_{\ensuremath{\pi}}>{\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ it is in the central-peak regime. We find that ${\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ depends on the magnitude of the applied magnetic field.We study the dynamical properties of the phonons in the $\mathrm{XY}$ spin chain coupled with lattices subjected to the applied magnetic field with the path-integral approach. Dynamical structure factor is calculated in the presence of the magnetic field. A critical value of the bare \ensuremath{\pi}-mode phonon frequency ${\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ is given such that for ${\ensuremath{\Omega}}_{\ensuremath{\pi}}<{\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ the spin-Peierls transition is in the soft-mode regime and for ${\ensuremath{\Omega}}_{\ensuremath{\pi}}>{\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ it is in the central-peak regime. We find that ${\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ depends on the magnitude of the applied magnetic field.

Physical review. B, Condensed matterAug 14, 20012 citations

We study the dynamical properties of the phonons in the

\mathrm{XY}

spin chain coupled with lattices subjected to the applied magnetic field with the path-integral approach. Dynamical structure factor is calculated in the presence of the magnetic field. A critical value of the bare \ensuremath{\pi}-mode phonon frequency ${\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ is given such that for ${\ensuremath{\Omega}}_{\ensuremath{\pi}}<{\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ the spin-Peierls transition is in the soft-mode regime and for ${\ensuremath{\Omega}}_{\ensuremath{\pi}}>{\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ it is in the central-peak regime. We find that ${\ensuremath{\Omega}}_{\ensuremath{\pi},c}$ depends on the magnitude of the applied magnetic field.