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Chin. Phys. B, 2025, Vol. 34(3): 030305    DOI: 10.1088/1674-1056/adab64
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Periodic modulation of adiabatic dynamics in non-reciprocal Landau-Zener systems

Rong Chang(常蓉) and Sheng-Chang Li(栗生长)†
MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, and School of Physics, Xi'an Jiaotong University, Xi'an 710049, China
Abstract  The control of adiabatic dynamics is essential for quantum manipulation. We investigate the effects of both periodic modulating field and linear sweeping field on adiabatic dynamics based on a non-reciprocal Landau-Zener model with periodic modulation. We obtain adiabatic phase diagrams in the $(\omega,\delta)$ parameter space, where the adiabatic region is bounded by the modulating frequency $\omega$ greater than a critical value $\omega_{\rm c}$ and the non-reciprocal parameter $\delta$ less than one. The results show that the adiabaticity of the system is not sensitive to the modulating amplitude. We find that the critical modulating frequency can be expressed as a power function of the modulating period number or the sweeping rate. Our findings suggest that one can change the adiabatic region or improve the adiabaticity by adjusting the parameters of both the modulating and the sweeping fields, which provides an effective means to flexibly control the adiabatic dynamics of non-reciprocal systems.
Keywords:  adiabaticity      non-reciprocity      Landau-Zener tunneling      periodic modulation  
Received:  04 November 2024      Revised:  16 December 2024      Accepted manuscript online:  17 January 2025
PACS:  03.65.-w (Quantum mechanics)  
  03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)  
  74.50.+r (Tunneling phenomena; Josephson effects)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12375019 and 11974273).
Corresponding Authors:  Sheng-Chang Li     E-mail:  scli@xjtu.edu.cn

Cite this article: 

Rong Chang(常蓉) and Sheng-Chang Li(栗生长) Periodic modulation of adiabatic dynamics in non-reciprocal Landau-Zener systems 2025 Chin. Phys. B 34 030305

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