Time optimal control for spin I=1

被引:0
|
作者
Naghdi, Fahimeh [1 ]
Jafarizadeh, Mohammad Ali [1 ]
Bazrafkan, Mohammad Reza [2 ]
机构
[1] Univ Tabriz, Dept Theoret Phys & Astrophys, Tabriz 51664, Iran
[2] Imam Khomeini Int Univ, Phys Dept, Fac Sci, Qazvin, Iran
基金
美国国家科学基金会;
关键词
Qutrit; Time-optimal control; Nuclear magnetic resonance; Pure state; QUANTUM; STATES;
D O I
10.1016/j.physleta.2022.128297
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this letter, we investigate the problem of time-optimal control for a system of quadrupole nucleus with spin I = 1 under nuclear magnetic resonance conditions with unbounded control using Pontryagin's minimum principle. For spin I = 1, we calculate the minimal duration for steering the system from the every given initial pure state to the every final pure state, and derive an explicit analytical formula for the minimum duration. (c) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Exact solutions for time-optimal control of spin I=1 by NMR
    Shauro, Vitaly
    QUANTUM INFORMATION PROCESSING, 2015, 14 (07) : 2345 - 2355
  • [2] On time-optimal NMR control of states of qutrits represented by quadrupole nuclei with the spin I=1
    Zobov, V. E.
    Shauro, V. P.
    JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2011, 113 (02) : 181 - 191
  • [3] On time-optimal NMR control of states of qutrits represented by quadrupole nuclei with the spin I = 1
    V. E. Zobov
    V. P. Shauro
    Journal of Experimental and Theoretical Physics, 2011, 113 : 181 - 191
  • [4] Time optimal control in spin systems
    Khaneja, N
    Brockett, R
    Glaser, SJ
    PHYSICAL REVIEW A, 2001, 63 (03):
  • [5] Time optimal control in spin systems
    Khaneja, N.
    Brockett, R.
    Glaser, S.J.
    Physical Review A. Atomic, Molecular, and Optical Physics, 2001, 63 (03): : 323081 - 320811
  • [6] Singular Extremals for the Time-Optimal Control of Dissipative Spin 1/2 Particles
    Lapert, M.
    Zhang, Y.
    Braun, M.
    Glaser, S. J.
    Sugny, D.
    PHYSICAL REVIEW LETTERS, 2010, 104 (08)
  • [7] Time-optimal control of independent spin-1/2 systems under simultaneous control
    Ji, Yunlan
    Bian, Ji
    Jiang, Min
    D'Alessandro, Domenico
    Peng, Xinhua
    PHYSICAL REVIEW A, 2018, 98 (06)
  • [8] Time-optimal torus theorem and control of spin systems
    J. Swoboda
    Optics and Spectroscopy, 2007, 103 : 343 - 348
  • [9] Time optimal control of coupled spin dynamics: A global analysis
    Khaneja, Navin
    AUTOMATICA, 2020, 111
  • [10] Time-optimal torus theorem and control of spin systems
    Swoboda, J.
    OPTICS AND SPECTROSCOPY, 2007, 103 (03) : 343 - 348