Doubly excited ferromagnetic spin-chain as a pair of coupled kicked rotors

Abstract

We show that the dynamics of a doubly-excited 1D Heisenberg ferromagnetic chain, subject to short pulses from a parabolic magnetic field may be analyzed as a pair of quantum kicked rotors. By focusing on the two-magnon dynamics in the kicked XXZ model we investigate how the anisotropy parameter - which controls the strength of the magnon-magnon interaction - changes the nature of the coupling between the two "image" coupled Kicked Rotors. We investigate quantum state transfer possibilities and show that one may control whether the spin excitations are transmitted together, or separate from each other.

8 pages, 4 figures; extended appendix and corrected typos

References in corpus (7)

• Experimental Realization of Quantum-Resonance Ratchets
• Rectified momentum transport for a kicked Bose-Einstein Condensate
• Observation of high-order quantum resonances in the kicked rotor
• Conservative chaotic map as a model of quantum many-body environment
• Entanglement and dynamics of spin-chains in periodically-pulsed magnetic fields: accelerator modes
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Cited by in corpus (4)

• Dynamical Localization of Coupled Relativistic Kicked Rotors
• Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\mathcal{P}\mathcal{T}$-symmetry breaking in a Floquet system
• Chaos and localized phases in a two-body linear kicked rotor system
• Entanglement dynamics and fractional quantum state transport in the spin-$\frac{1}{2}$ triangular plaquette