Results 21 to 30 of about 138,052 (292)

Unitary matrix integral for two-color QCD and the GSE-GUE crossover in random matrix theory

Physics Letters B, 2021
We analytically evaluate a unitary matrix integral which appears in the low-energy limit of two-color QCD at finite chemical potential. The result is expressed as a pfaffian. We illustrate its application to the GSE-GUE crossover in random matrix theory.
Takuya Kanazawa
doaj   +1 more source

Random matrix theory for complexity growth and black hole interiors

Journal of High Energy Physics, 2022
We study a precise and computationally tractable notion of operator complexity in holographic quantum theories, including the ensemble dual of Jackiw-Teitelboim gravity and two-dimensional holographic conformal field theories.
Arjun Kar, Lampros Lamprou, Moshe Rozali, James Sully   +3 more
doaj   +1 more source

Quasiclassical Random Matrix Theory [PDF]

Physical Review Letters, 1996
We directly combine ideas of the quasiclassical approximation with random matrix theory and apply them to the study of the spectrum, in particular to the two-level correlator. Bogomolny's transfer operator T, quasiclassically an NxN unitary matrix, is considered to be a random matrix.
openaire   +3 more sources

The Lenard recursion relation and a family of singularly perturbed matrix models [PDF]

, 2015
We review some aspects of recent work concerning double scaling limits of singularly perturbed Hermitian random matrix models and their connection to Painlevé equations. We present new results showing how a Painlevé III hierarchy recently proposed by the
Random Matrix Theory: Foundations and Applications, Atkin, Max   +1 more
core   +1 more source

Dynamical quantum phase transitions from random matrix theory [PDF]

Quantum
We uncover a novel dynamical quantum phase transition, using random matrix theory and its associated notion of planar limit. We study it for the isotropic XY Heisenberg spin chain.
David Pérez-García, Leonardo Santilli, Miguel Tierz   +2 more
doaj   +1 more source

Linear systems and determinantal random point fields. [PDF]

, 2008
Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
core   +1 more source

GNSS jamming detection of UAV ground control station using random matrix theory

ICT Express, 2021
Global navigation satellite systems (GNSS) are the main navigation and control systems in unmanned aerial vehicles (UAVs) and their ground control stations.
Omid Sharifi-Tehrani, Mohamad F. Sabahi, M.R. Danaee   +2 more
doaj   +1 more source

QUANTUM DYNAMICS AND RANDOM MATRIX THEORY [PDF]

Lattice Statistics and Mathematical Physics, 2002
We compute the survival probability of an initial state, with an energy in a certain window, by means of random matrix theory. We determine its probability distribution and show that is is universal, i.e. characterised only by the symmetry class of the hamiltonian and independent of the initial state.
openaire   +6 more sources

Directed random geometric graphs: structural and spectral properties

Journal of Physics: Complexity, 2022
In this work we analyze structural and spectral properties of a model of directed random geometric graphs: given n vertices uniformly and independently distributed on the unit square, a directed edge is set between two vertices if their distance is ...
Kevin Peralta-Martinez, J A Méndez-Bermúdez   +1 more
doaj   +1 more source

Dynamical phases in a ``multifractal'' Rosenzweig-Porter model

SciPost Physics, 2021
We consider the static and the dynamic phases in a Rosenzweig-Porter (RP) random matrix ensemble with a distribution of off-diagonal matrix elements of the form of the large-deviation ansatz.
Ivan M. Khaymovich, Vladimir E. Kravtsov
doaj   +1 more source