Exploring Quantum Intrinsic Localized Modes in a 1D Heisenberg Spin Chain with Second-neighbor Interactions in an Oblique Magnetic Field

Abstract

We explore the quantum signature of solitons and thermodynamic properties of two quanta in a 1D Heisenberg spin chain. It is found that, the energy spectrum of two quanta exhibits multi bound states in addition to a continuum band dramatically affected by the second-neighbor interactions, and their quantum properties are analyzed. The entropy and the specific heat capacity of two quanta are numerically evaluated. For a large number of quanta, it is shown that the dispersion curve can be controlled via the angle of the oblique magnetic field. Furthermore, it is found that the system admits quantum solitons solutions that can be abruptly influenced by the angle of the oblique magnetic field. Quantum solitons states are built and their energies are quantized. The accuracy of the analytical studies is assessed using numerical simulations.