Results 51 to 60 of about 1,526,545 (357)
Eigenstate Thermalization, Random Matrix Theory, and Behemoths. [PDF]
Physical Review Letters, 2018 The eigenstate thermalization hypothesis (ETH) is one of the cornerstones of contemporary quantum statistical mechanics. The extent to which ETH holds for nonlocal operators is an open question that we partially address in this Letter.
Ivan M Khaymovich, M. Haque, P. McClarty
semanticscholar +1 more source
Random Matrix Theory, Chiral Perturbation Theory, and Lattice Data [PDF]
, 1999 Recently, the chiral logarithms predicted by quenched chiral perturbation theory have been extracted from lattice calculations of hadron masses. We argue that the deviations of lattice results from random matrix theory starting around the so-called ...
Berbenni-Bitsch, M. E. +6 more
core +2 more sources
Generalized spectral form factors and the statistics of heavy operators
Journal of High Energy Physics, 2022 The spectral form factor is a powerful probe of quantum chaos that diagnoses the statistics of energy levels, but is blind to other features of a theory such as matrix elements of operators or OPE coefficients in conformal field theories.
Alexandre Belin +3 more
doaj +1 more source
Higher-order spacing ratios in random matrix theory and complex quantum systems [PDF]
Physical review B, 2018 The distribution of the ratios of nearest neighbor level spacings has become a popular indicator of spectral fluctuations in complex quantum systems like interacting many-body localized and thermalization phases, quantum chaotic systems, and also in ...
S. H. Tekur +2 more
semanticscholar +1 more source
Octonions in random matrix theory [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2017 The octonions are one of the four normed division algebras, together with the real, complex and quaternion number systems. The latter three hold a primary place in random matrix theory, where in applications to quantum physics they are determined as the entries of ensembles of Hermitian random matrices by symmetry considerations.
openaire +4 more sources
Driving Stability Analysis Using Naturalistic Driving Data With Random Matrix Theory
IEEE Access, 2020 Driving behavior analysis has diverse applications in intelligent transportation systems (ITSs). The naturalistic driving data potentially contain rich information regarding human drivers' habits and skills in practical and natural driving conditions ...
Kai Song +4 more
doaj +1 more source
Odd-flavored QCD_3 and Random Matrix Theory [PDF]
, 1998 We consider QCD_3 with an odd number of flavors in the mesoscopic scaling region where the field theory finite-volume partition function is equivalent to a random matrix theory partition function.
Akemann +16 more
core +2 more sources
Quantum Jackiw-Teitelboim gravity, Selberg trace formula, and random matrix theory
Physical Review Research, 2020 We show that the partition function of quantum Jackiw-Teitelboim (JT) gravity, including topological fluctuations, is equivalent to the partition function of a Maass-Laplace operator of large (imaginary) weight acting on noncompact, infinite-area ...
Antonio M. García-García +1 more
doaj +1 more source
Staggered chiral random matrix theory
, 2011 We present a random matrix theory (RMT) for the staggered lattice QCD Dirac operator. The staggered RMT is equivalent to the zero-momentum limit of the staggered chiral Lagrangian and includes all taste breaking terms at their leading order.
B. Svetitsky, James C. Osborn
core +1 more source
Non-Equilibrium Random Matrix Theory : Transition Probabilities [PDF]
, 2016 In this letter we present an analytic method for calculating the transition probability between two random Gaussian matrices with given eigenvalue spectra in the context of Dyson Brownian motion.
Pedro, Francisco Gil +1 more
core +3 more sources