Volume 14, Issue 2 (Summer-Fall 2020)                   IJOP 2020, 14(2): 169-176 | Back to browse issues page

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Hatefi M, Sarreshtedari F, Sabooni M. A Novel Approximate Numerical Method for Solving the Evolution of the Spin Density Operators. IJOP 2020; 14 (2) :169-176
URL: http://ijop.ir/article-1-435-en.html
A Novel Approximate Numerical Method for Solving the Evolution of the Spin Density Operators
Maryam Hatefi1 , Farrokh Sarreshtedari * 1, Mahmood Sabooni2
1- Magnetic Resonance Research Laboratory, Department of Physics, College of Science, University of Tehran, 143-9955961, Tehran, Iran.
2- Department of Physics, College of Science, University of Tehran, 143-9955961, Tehran, Iran. Institute for Quantum Computing, Department of Physics and Astronomy, Waterloo, Ontario, N2L3G1, Canada.
Abstract:   (2508 Views)
An approximate numerical method is proposed and discussed for solving the evolution of the spin density operator when the quantum system has an interaction with an external electromagnetic field. In this method by separating the relaxation and field interaction processes at small steps, instead of solving the conventional Liouville-von Neumann or Bloch differential equations, the time evolution of the density operator is efficiently obtained by a two-stage numerical algorithm. Here we have compared the results of this approach with Bloch equation results for a two-level quantum system. The proposed approach has potential applications in calculation of the time evolution for different atomic system including nuclear or electron spin resonance systems.
Keywords: Bloch equation, Liouville-von Neumann equation, Two level quantum systems, Spin density operator dynamics.
Full-Text [PDF 325 kb]   (1796 Downloads)    
Type of Study: Research | Subject: General
Received: 2020/11/29 | Revised: 2021/01/16 | Accepted: 2021/02/14 | Published: 2021/05/20
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