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Quantum Physics

arXiv:quant-ph/0701092 (quant-ph)
[Submitted on 15 Jan 2007 (v1), last revised 30 Aug 2007 (this version, v3)]

Title:Exponentiation of certain Matrices related to the Four Level System by use of the Magic Matrix

Authors:Kazuyuki Fujii (Yokohama City University)
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Abstract: In this paper we show how to calculate explicitly the exponential of certain matrices, which are evolution operators governing the interaction of the four level system of atoms and the radiation, etc. We present a consistent method in terms of the magic matrix by Makhlin.
As a closely related subject, we derive a closed form expression of the Baker-Campbell-Hausdorff formula for a class of matrices in SU(4), by use of the method developed by the present authors in quant-ph/0610009.
Comments: Latex ; 13 pages ; 2 figures ; substantial changes (including the title) made. To appear in Yokohama Mathematical Journal (2007)
Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph)
Cite as: arXiv:quant-ph/0701092
  (or arXiv:quant-ph/0701092v3 for this version)
  https://doi.org/10.48550/arXiv.quant-ph/0701092
Journal reference: Yokohama Math. J. 54(2007) 31-44

Submission history

From: Kazuyuki Fujii [view email]
[v1] Mon, 15 Jan 2007 01:43:50 UTC (12 KB)
[v2] Mon, 22 Jan 2007 00:08:21 UTC (12 KB)
[v3] Thu, 30 Aug 2007 05:46:26 UTC (15 KB)
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