Optimal shortcut approach based on an easily obtained intermediate Hamiltonian

Ye-Hong Chen, Zhi-Cheng Shi, Jie Song, Yan Xia, and Shi-Biao Zheng
Phys. Rev. A 95, 062319 – Published 12 June 2017

Abstract

We present a general approach to speed up the adiabatic process without adding the traditional counterdiabatic driving Hamiltonian. The strategy is to design an easy-to-get intermediate Hamiltonian to connect the original Hamiltonian and final transitionless Hamiltonian. With a final transitionless Hamiltonian, the same target can be achieved as in the adiabatic process governed by the original Hamiltonian, but in a shorter time. We apply the present approach to a three-level system and the result shows that the final transitionless Hamiltonian usually has the same structure as the original Hamiltonian but with different time-dependent coefficients, allowing speedup to be achieved in a much easier way compared to previous methods.

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  • Received 26 October 2016

DOI:https://doi.org/10.1103/PhysRevA.95.062319

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyAtomic, Molecular & Optical

Authors & Affiliations

Ye-Hong Chen1,2, Zhi-Cheng Shi1,2, Jie Song3, Yan Xia1,2,*, and Shi-Biao Zheng1,2

  • 1Department of Physics, Fuzhou University, Fuzhou 350116, China
  • 2Fujian Key Laboratory of Quantum Information and Quantum Optics, Fuzhou University, Fuzhou 350116, China
  • 3Department of Physics, Harbin Institute of Technology, Harbin 150001, China

  • *xia-208@163.com

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Issue

Vol. 95, Iss. 6 — June 2017

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