164 citations · 859 across the 20 of their papers we have counts for
6 papers · 1 filter
Nonlinear statistics of quantum transport in chaotic cavities
D. V. Savin, H. -J. Sommers, W. Wieczorek
In the framework of the random matrix approach, we apply the theory of Selberg's integral to problems of quantum transport in chaotic cavities. All the moments of transmission eige…
Random Bistochastic Matrices
V. Cappellini, H. -J. Sommers, W. Bruzda +1
Ensembles of random stochastic and bistochastic matrices are investigated. While all columns of a random stochastic matrix can be chosen independently, the rows and columns of a bi…
Statistics of conductance and shot-noise power for chaotic cavities
H. -J. Sommers, W. Wieczorek, D. V. Savin
We report on an analytical study of the statistics of conductance, , and shot-noise power, , for a chaotic cavity with arbitrary numbers of channels in two leads an…
Superbosonization of invariant random matrix ensembles
P. Littelmann, H. -J. Sommers, M. R. Zirnbauer
Superbosonization is a new variant of the method of commuting and anti-commuting variables as used in studying random matrix models of disordered and chaotic quantum systems. We he…
Symplectic Structure of the Real Ginibre Ensemble
Hans-Jürgen Sommers
We give a simple derivation of all -point densities for the eigenvalues of the real Ginibre ensemble with even dimension as quaternion determinants. A very simple symplectic…
Subnormalized states and trace-nonincreasing maps
Valerio Cappellini, Hans-Juergen Sommers, Karol Zyczkowski
We investigate the set of completely positive, trace-nonincreasing linear maps acting on the set M_N of mixed quantum states of size N. Extremal point of this set of maps are chara…