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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:   (153 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.
Full-Text [PDF 324 kb]   (120 Downloads)    
Type of Study: Research | Subject: General
Received: 2020/11/29 | Revised: 2021/01/16 | Accepted: 2021/02/14

References
1. S. Stenholm, Foundations of Laser Spectroscopy, Mineola, New York, 2005.
2. M. Auzinsh, D. Budker, and S. Rochester, Optically Polarized Atoms: Understanding light-atom interactions, Oxford University press, 2010.
3. R.S. Whitney, "Staying positive: going beyond lindblad with perturbative master equations," J. Phys. A, Vol. 41, pp. 175304 (1-18), 2008. [DOI:10.1088/1751-8113/41/17/175304]
4. H.P. Breuer, F. Petruccione, The theory of open quantum systems, Oxford University press, 2002.
5. G. Lindblad, "On the generators of quantum dynamical semigroups," Commun. Math. Phys. Vol. 48, pp. 119-130, 1976. [DOI:10.1007/BF01608499]
6. H. Tian and G.H. Chen, "An efficient solution of Liouville-von Neumann equation that is applicable to zero and finite temperatures," J. Chem. Phys, Vol. 137, pp. 204114, (1-6), 2012. [DOI:10.1063/1.4767460]
7. G. Mazzi, "Numerical Treatment of the Liouville-von Neumann Equation for Quantum Spin Dynamics," Ph.D thesis, University of Edinburgh, 2010.
8. F. Bloch, "Nuclear Induction," Phys. Rev, Vol. 70, pp. 460 (1-16), 1946. [DOI:10.1103/PhysRev.70.460]
9. I.I. Mazin and M.D. Johannes, Spin Dynamics, John Wiley & Sons Ltd, 2nd Ed, 2008.

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