Hans - Jürgen Sommers February 2 , 2008
نویسنده
چکیده
We give a constructive proof for the superbosonization formula for invariant random matrix ensembles, which is the supersymmetry analog of the theory of Wishart matrices. Formulas are given for unitary, orthogonal and symplectic symmetry, but worked out explicitly only for the orthogonal case. The method promises to become a powerful tool for investigating the universality of spectral correlation functions for a broad class of random matrix ensembles of non-Gaussian type. Pacs: 0250.-r, 0540.-a
منابع مشابه
Average fidelity between random quantum states
Karol Życzkowski* and Hans-Jürgen Sommers Instytut Fizyki im. Smoluchowskiego, Uniwersytet Jagielloński, ulica Reymonta 4, 30-059 Kraków, Poland Centrum Fizyki Teoretycznej, Polska Akademia Nauk, Aleja Lotników 32/44, 02-668 Warszawa, Poland Perimeter Institute, Waterloo, Ontario, Canada N2L 2Y5 Fachbereich Physik, Universität Duisburg-Essen, Campus Essen, 45117 Essen, Germany sReceived 11 May ...
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Valerio Cappellini1,2, Hans-Jürgen Sommers3 and Karol Życzkowski1,4 Centrum Fizyki Teoretycznej, Polska Akademia Nauk, Al. Lotników 32/44, 02-668 Warszawa, Poland 2“Mark Kac” Complex Systems Research Centre, Uniwersytet Jagielloński, ul. Reymonta 4, 30-059 Kraków, Poland 3Fachbereich Physik, Universität Duisburg-Essen, Campus Duisburg, 47048 Duisburg, Germany 4Instytut Fizyki im. Smoluchowskieg...
متن کاملSuperbosonization *
We give a constructive proof for the superbosonization formula for invariant random matrix ensembles, which is the supersymmetry analog of the theory of Wishart matrices. Formulas are given for unitary, orthogonal and symplectic symmetry, but worked out explicitly only for the orthogonal case. The method promises to become a powerful tool for investigating the universality of spectral correlati...
متن کاملRandom bistochastic matrices
1 ‘Mark Kac’ Complex Systems Research Centre, Uniwersytet Jagielloński, ul. Reymonta 4, 30-059 Kraków, Poland 2 Fachbereich Physik, Universität Duisburg-Essen, Campus Duisburg, 47048 Duisburg, Germany 3 Instytut Fizyki im. Smoluchowskiego, Uniwersytet Jagielloński, ul. Reymonta 4, 30-059 Kraków, Poland 4 Centrum Fizyki Teoretycznej, Polska Akademia Nauk, Al. Lotników 32/44, 02-668 Warszawa, Poland
متن کاملSecular determinants of random unitary matrices
We consider the characteristic polynomials of random unitary matrices U drawn from various circular ensembles. In particular, the statistics of the coefficients of these polynomials are studied. The variances of these “secular coefficients” are given explicitly for arbitrary dimension and continued analytically to arbitrary values of the level repulsion exponent β. The latter secular coefficien...
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تاریخ انتشار 2008