Periodic Kicking Modulated Quantum Phase Transitions in Transverse XY Spin-Chains

The XY spin-chain in transverse fields under the modulation of 6-function periodic kickings has been studied in this paper. We have obtained the exact expression of the Floquet effective Hamiltonian, and analyzed the corresponding properties of the criticality. We also considered the central spin system's Loschmidt echo coupling to this spin-chain, and gave the relation between the decoherence factor and the periodic kicking parameters. Our results show that, periodic kickings on the spin-chain can modulate the critical points and the phase diagram of the spin chain, which can be detected by the decoherence of the coupling central spin system.