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In a finite double well potential there is no manifest degeneracy. However highly degenerate configurations can be obtained in the vicinity of level crossings. It can be numerically shown fsee for instance T. Hakioglu, J. Anderson, and F. Wellstood, Phys. Rev. B 66, 115324 (2002)] that at the level crossings the symmetric and antisymmetric configurations are highly confined either within the left or the right wells. The tunneling matrix element is proportional to the overlap of these configurations which is minimized at the level crossings.
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note
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We assume that the system is initially prepared at a given superposition state ψ(0)=a|0〉+b|1〉 where |0〉 and |1〉 are, respectively, the ground and the first excited states in the qubit subspace.
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17
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edited by R. Fazio, V. F. Gantmakher, and Y. Imry (Kluwer, Dordrecht)
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Yuriy Makhlin, Gerd Schön, and Alexander Shnirman, New Dimensions in Mesoscopic Physics, edited by R. Fazio, V. F. Gantmakher, and Y. Imry (Kluwer, Dordrecht, 2003), pp. 197-236
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also recently, a Markovian Linblad approach was used for the RDM of a multilevel system in connection with the quantum Zeno effect [see for instance, D. Bruno, P. Facchi, S. Longo, P. Minelli, S. Pascazio, and A. Scardicchio, quant-ph/0206143 (unpublished)].
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