Periodic quenching modulated quantum phase transitions in transverse XY spin-chains

• Published in: The European physical journal. D, Atomic, molecular, and optical physics Vol. 76; no. 8
• Main Authors: Yan, Yu, Luan, Li-Na, Wang, Lin-Cheng
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022; Springer Nature B.V
• Subjects: Applications of Nonlinear Dynamics and Chaos Theory; Atomic; Chains; Critical point; Molecular; Optical and Plasma Physics; Phase diagrams; Phase transitions; Physical Chemistry; Physics; Physics and Astronomy; Quantum Information Technology; Quantum Physics; Quenching; Regular Article – Quantum Information; Spectroscopy/Spectrometry; Spintronics
• ISSN: 1434-6060; 1434-6079
• DOI: 10.1140/epjd/s10053-022-00485-5

The XY spin-chain in transverse fields under the modulation of periodic quenching has been investigated in this paper. We have obtained the exact expression of the Floquet effective Hamiltonian and analyzed the phase diagram, the corresponding critical properties, as well as geometric phase of the system. Our results show that the critical properties and phase diagram of the spin-chain can be modulated by the periodic quenching. We also considered the central spin system’s Loschmidt echo coupling to such spin-chain and showed that the Loschmidt echo can be used to detect the new critical points of the effective system. Graphical abstract