Random-matrix theories in quantum physics: common concepts

T Guhr, A Müller–Groeling, HA Weidenmüller - Physics Reports, 1998 - Elsevier
We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

Random matrices and chaos in nuclear physics: Nuclear reactions

GE Mitchell, A Richter, HA Weidenmüller - Reviews of Modern Physics, 2010 - APS
The application of random-matrix theory (RMT) to compound-nucleus (CN) reactions is
reviewed. An introduction into the basic concepts of nuclear scattering theory is followed by …

[图书][B] Supersymmetry in disorder and chaos

K Efetov - 1999 - books.google.com
The development of the supersymmetry technique has led to significant advances in the
study of disordered metals and semiconductors. Proven of great use in the analysis of …

Periodic-orbit theory of level correlations

S Heusler, S Müller, A Altland, P Braun, F Haake - Physical review letters, 2007 - APS
We present a semiclassical explanation of the so-called Bohigas-Giannoni-Schmit
conjecture which asserts universality of spectral fluctuations in chaotic dynamics. We work …

Universality in the random matrix spectra in the regime of weak non-Hermiticity

YV Fyodorov, HJ Sommers… - Annales de l'IHP Physique …, 1998 - numdam.org
Universality in the random matrix spectra in the regime of weak non-hermiticity Page 1
ANNALES DE L’IHP, SECTION A YAN V. FYODOROV HANS-JÜRGEN SOMMERS BORIS A …

Experimental test of the Rosenzweig-Porter model for the transition from Poisson to Gaussian unitary ensemble statistics

X Zhang, W Zhang, J Che, B Dietz - Physical Review E, 2023 - APS
We report on an experimental investigation of the transition of a quantum system with
integrable classical dynamics to one with violated time-reversal (T) invariance and chaotic …

Quantum disordered systems with a direction

KB Efetov - Physical Review B, 1997 - APS
Abstract Models of disorder with a direction (constant imaginary vector potential) are
considered. These non-Hermitian models can appear as a result of computation for models …

Matrix models, one-dimensional fermions, and quantum chaos

BD Simons, PA Lee, BL Altshuler - Physical review letters, 1994 - APS
Recent studies of universal parametric correlations in quantum chaotic spectra have
revealed an astonishing connection to an integrable one-dimensional quantum system. We …

Induced violation of time-reversal invariance in the regime of weakly overlapping resonances

B Dietz, T Friedrich, HL Harney, M Miski-Oglu… - Physical review …, 2009 - APS
We measure the complex scattering amplitudes of a flat microwave cavity (a “chaotic
billiard”). Time-reversal (T) invariance is partially broken by a magnetized ferrite placed …

Semiclassical field theory approach to quantum chaos

AV Andreev, BD Simons, O Agam, BL Altshuler - Nuclear Physics B, 1996 - Elsevier
We construct a field theory to describe energy averaged quantum statistical properties of
systems which are chaotic in their classical limit. An expression for the generating function of …