Robust control of an ensemble of springs: Application to ion cyclotron resonance and two-level quantum systems

被引：13
作者：
Martikyan, V [1 ]
Devra, A. [2 ]
Guery-Odelin, D. [3 ]
Glaser, S. J. [2 ,4 ]
Sugny, D. [1 ]
机构：
[1] Univ Bourgogne Franche Comte, CNRS, Lab Interdisciplinaire Carrot Bourgogne ICB, UMR 6303, 9 Av A Savary,BP 47870, F-21078 Dijon, France
[2] Tech Univ Munich, Dept Chem, Lichtenbergstr 4, D-85747 Garching, Germany
[3] Univ Paul Sabatier, Lab Collis Agregats Reactivite, 118 Route Narbonne, F-31062 Toulouse 4, France
[4] Munich Ctr Quantum Sci & Technol MCQST, Schellingstr 4, D-80799 Munich, Germany
来源：
PHYSICAL REVIEW A | 2020年 / 102卷 / 05期
基金：
欧盟地平线“2020”;
关键词：
2D FT-ICR; DESIGN; EXCITATION; PULSES;
D O I：
10.1103/PhysRevA.102.053104
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We study the simultaneous control of an ensemble of springs with different frequencies by means of an adiabatic shortcut to adiabaticity and optimal processes. The linearity of the system allows us to derive analytical expressions for the control fields and the time evolution of the dynamics. We discuss the relative advantages of the different solutions. These results are applied in two different examples. For ion cyclotron resonance, we show how to optimally control ions by means of electric field. Using a mapping between spins and springs, we derive analytical shortcut protocols to realize robust and selective excitations of two-level quantum systems.
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页数：13
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