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- W2082231174 abstract "Two rules have been analytically obtained for the well-known problem of Landau-Zener tunneling at the $M+N$ level crossing. Both rules are valid for the arbitrary crossing rate, level splitting vectors, and mixing matrix. The first rule is given by a simple expression for an arbitrary diagonal element of the $S$ matrix. The second rule is that the $S$ matrix has $(Mensuremath{-}1)ifmmodetimeselsetexttimesfi{}(Mensuremath{-}1)$ and $(Nensuremath{-}1)ifmmodetimeselsetexttimesfi{}(Nensuremath{-}1)$ triangles of zeros in its $Mifmmodetimeselsetexttimesfi{}M$ and $Nifmmodetimeselsetexttimesfi{}N$ submatrices, i.e., some interlevel transitions are strictly forbidden. Some other features of the off-diagonal elements are also studied, using a $2+2$ level crossing as an example. Numerical and analytical results of the $2+2$ crossing show difference from a $1+2$ level, and we conclude that the $M+N$ level crossing cannot be expressed as a mere composition of $1+1$ level crossings except for the above two rules. Finally we discuss the possibility of a single-electron operation using these results." @default.
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- W2082231174 date "1997-11-15" @default.
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- W2082231174 title "Theoretical study of Landau-Zener tunneling at the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>M</mml:mi><mml:mo>+</mml:mo><mml:mi>N</mml:mi></mml:math>level crossing" @default.
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- W2082231174 doi "https://doi.org/10.1103/physrevb.56.13360" @default.
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