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Publikováno v:
Trends in Quantum Computing Research, Susan Shannon (Ed.), Chapter 8, Nova Science Publishers, 2006 ; Computer Science and Quantum Computing, James E. Stones (Ed.), Chapter 1, Nova Science Publishers, 2007
In this paper we treat a cavity QED quantum computation. Namely, we consider a model of quantum computation based on n atoms of laser-cooled and trapped linearly in a cavity and realize it as the n atoms Tavis-Cummings Hamiltonian interacting with n
Externí odkaz:
http://arxiv.org/abs/quant-ph/0501046
Publikováno v:
Int.J.Geom.Meth.Mod.Phys. 2 (2005) 425-440
To obtain the explicit form of evolution operator in the Tavis-Cummings model we must calculate the term ${e}^{-itg(S_{+}\otimes a+S_{-}\otimes a^{\dagger})}$ explicitly which is very hard. In this paper we try to make the quantum matrix $A\equiv S_{
Externí odkaz:
http://arxiv.org/abs/quant-ph/0410003
Publikováno v:
Int.J.Geom.Meth.Mod.Phys. 1(2004) 721-730
In this letter the explicit form of evolution operator of the Tavis-Cummings model with three and four atoms is given. This is an important progress in quantum optics or mathematical physics.
Comment: Latex file, 10 pages. We combined quant-ph/0
Comment: Latex file, 10 pages. We combined quant-ph/0
Externí odkaz:
http://arxiv.org/abs/quant-ph/0409068
Publikováno v:
J. Opt. B: Quantum Semiclass. Opt. 6(2004) 502-509
In this paper we consider a model of quantum computation based on n atoms of laser-cooled and trapped linearly in a cavity and realize it as the n atoms Tavis-Cummings Hamiltonian interacting with n external (laser) fields. We solve the Schr{\" o}din
Externí odkaz:
http://arxiv.org/abs/quant-ph/0407014
In this letter the explicit form of evolution operator for the four atoms Tavis-Cummings model is given.
Comment: Latex file, 6 pages
Comment: Latex file, 6 pages
Externí odkaz:
http://arxiv.org/abs/quant-ph/0406184
In this letter the explicit form of evolution operator of three atoms Tavis-Cummings model is given, which is a generalization of the paper quant-ph/0403008.
Comment: Latex file, 9 pages. misprints corrected
Comment: Latex file, 9 pages. misprints corrected
Externí odkaz:
http://arxiv.org/abs/quant-ph/0404034
Publikováno v:
The Bulletin of Yokohama City University, 56(2005), 51-60
In this paper we consider the two atoms Tavis--Cummings model and give an explicit form to the solution of this model which will play a central role in quantum computation based on atoms of laser--cooled and trapped linearly in a cavity. We also pres
Externí odkaz:
http://arxiv.org/abs/quant-ph/0403008
Publikováno v:
Yokohama Mathematical Journal, 53(2006), 63-74
In this paper we consider a general model of an atom with n energy levels interacting with n-1 external (laser) fields which is a natural extension in the two and three level systems. We exactly solve the Schr{\" o}dinger equation to obtain a Rabi os
Externí odkaz:
http://arxiv.org/abs/quant-ph/0312060
In this paper we consider a model of an atom with n energy levels interacting with n(n-1)/2 external (laser) fields which is a natural extension of two level system, and assume the rotating wave approximation (RWA) from the beginning. We revisit some
Externí odkaz:
http://arxiv.org/abs/quant-ph/0307066