Invariant‐Based Pulse Design for Three‐Level Systems Without the Rotating‐Wave Approximation |
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Authors: | Yi‐Hao Kang Ye‐Hong Chen Bi‐Hua Huang Jie Song Yan Xia |
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Institution: | 1. Department of Physics, Fuzhou University, Fuzhou, China;2. Fujian Key Laboratory of Quantum Information and Quantum Optics (Fuzhou University), Fuzhou, China;3. Department of Physics, Harbin Institute of Technology, Harbin, China |
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Abstract: | In this paper, a scheme is put forward to design pulses which drive a three‐level system based on the reverse engineering with Lewis‐Riesenfeld invariant theory. The scheme can be applied to a three‐level system even when the rotating‐wave approximation (RWA) can not be used. The amplitudes of pulses and the maximal values of detunings in the system could be easily controlled by adjusting control parameters. We analyze the dynamics of the system by an invariant operator, so additional couplings are unnecessary. Moreover, the approaches to avoid singularity of pulses are studied and several useful results are obtained. We hope the scheme could contribute to fast quantum information processing without RWA. |
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Keywords: | Shortcut to adiabatic passage Lewis‐Riesenfeld invariant Three‐level system Rotating‐wave approximation |
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