Topic: 
tba 
Date: 
16.04.18 
Time: 
16:15 
Place: 
H6 
Guest: 

Institut Fresnel, Marseille 

Abstract: 

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Topic: 
Mesoscopic eigenvalue correlations of random matrices 
Date: 
01.12.17 
Time: 
16:00 
Place: 
V2210/216 
Guest: 
Antti Knowles 
University of Geneva 

Abstract: 
Ever since the pioneering works of Wigner, Gaudin, Dyson, and Mehta, the correlations of eigenvalues of large random matrices on short scales have been a central topic in random matrix theory. On the microscopic spectral scale, comparable with the typical eigenvalue spacing, these correlations are now well understood for Wigner matrices thanks to the recent solution of the WignerGaudinDysonMehta universality conjecture. In this talk I focus on eigenvalue densitydensity correlations between eigenvalues whose separation is much larger than the microscopic spectral scale; here the correlations are much weaker than on the microscopic scale. I discuss to what extent the WignerGaudinDysonMehta universality remains valid on such larger scales, for Wigner matrices and random band matrices. 
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Topic: 
Sign problem and diagrammatic representation of scalar vs. real QCD 
Date: 
01.03.18 
Time: 
14:15 
Place: 
D6135 
Guest: 

Univ. Regensburg 

Abstract: 
We discuss representations of lattice field theories in terms of diagrams of dual variables (occupation numbers). Our main motivation is the nonzero density sign problem which can be solved through this approach in various systems. As a start we will dualize twodimensional sigma models (which are asymptotically free and generate a dynamical mass, as does QCD) and present some numerical results on the phase diagram. In the second part we will present a dualization of QCD with scalar quarks, where the sign problem is solved, too. Finally a comparison to real QCD will be made. 
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Topic: 
Brownian motion of an ellipsoidal particle in a tilted periodic potential: longterm velocity and diffusion 
Date: 
22.02.18 
Time: 
14:15 
Place: 
D5153 
Guest: 

NORDITA, Stockholm 

Abstract: 

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Topic: 
Eigenvectorrelated correlation functions and their connection with generalized chiral random matrix ensembles with a source 
Date: 
11.01.18 
Time: 
16:00 
Place: 
D5153 
Guest: 
Jacek Grela 
LPTMS Université ParisSud 

Abstract: 
We will introduce eigenvectorrelated correlation functions, discuss briefly their significance in dynamical Ginibre ensemble [1,2] and present asymptotic results in the large matrix size limit. Motivated by recent work [3] on joint eigenvectoreigenvalue correlation function valid for finite matrix size N in the complex and real Ginibre Ensembles, we study integrable structure of a certain generalized chiral Gaussian Unitary Ensemble with a source [4]. This model can be also interpreted as a deformation of the complex Ginibre Ensemble with an external source with additional determinant term. We present compact formulas for the characteristic polynomial, inverse characteristic polynomial and the kernel. In the case of a special source, we calculate asymptotics in the joint "bulkedge" regime of all aforementioned objects and show their Besseltype behaviour. References: [1] ''Dysonian dynamics of the Ginibre ensemble'', Z. Burda, J. Grela, M. A. Nowak, W. Tarnowski, P. Warcho?, Phys. Rev. Lett. 113, 104102 (2014) [2] ''Unveiling the significance of eigenvectors in diffusing nonhermitian matrices by identifying the underlying Burgers dynamics'', Z. Burda, J. Grela, M. A. Nowak, W. Tarnowski, P. Warcho?, Nucl. Phys. B 897, 421 (2015) [3] ''On statistics of biorthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry'', Y. V. Fyodorov, arXiv:1710.04699 [4] ''On characteristic polynomials for a generalized chiral random matrix ensemble with a source", Y. V. Fyodorov, J. Grela, E. Strahov, arXiv:1711.07061 
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Topic: 
Random matrix theory and its applications to entanglement studies 
Date: 
27.03.18 
Time: 
14:15 
Place: 
D5153 
Guest: 
Udaysinh Bhosale 
Indian Institute of Science, Education and Research 

Abstract: 
Wigner introduced random matrices to model the heavy nuclei, which is a very complex system with many unknown details. The typical quantum state of such a system can be modeled by a random pure state. In this talk I will present various results on bipartite and tripartite entanglement in these states. Various applications of random matrix theory for this study will be shown. Extreme value statistics of random matrices will be shown to be useful in finding fraction of entangled states at critical dimensions. Finally, I will explain the effects of the large deviations of the extreme Schmidt eigenvalues on the entanglement. 
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