Results 31 to 40 of about 663,196 (288)

The Spectral Theory of Perturbative Decays [PDF]

, 1997
In this paper, we propose a complex approach to evaluate a function sum of two noncommuting non Hermitian operators. Then, it is proposed an explicit expansion of the evolution operator in the case of the neutral K-meson system under the influence of an ...
Cocolicchio, D., Viggiano, M.
core   +3 more sources

Monte Carlo Simulation of Operator Dynamics and Entanglement in Dual-Unitary Circuits [PDF]

Quantum
We investigate operator dynamics and entanglement growth in dual-unitary circuits, a class of locally scrambled quantum systems that enables efficient simulation beyond the exponential complexity of the Hilbert space. By mapping the operator evolution to
Menghan Song, Zhaoyi Zeng, Ting-Tung Wang, Yi-Zhuang You, Zi Yang Meng, Pengfei Zhang   +5 more
doaj   +1 more source

The Dynamics of Gonosomal Evolution Operators [PDF]

Journal of Applied Nonlinear Dynamics, 2020
12 ...
Absalamov, Akmal T., Rozikov, Utkir A.
openaire   +3 more sources

Entanglement production by evolution operator

, 2017
Entanglement production, generated by an evolution operator, is considered. The measure of entanglement production, introduced earlier by one of the authors, is employed.
Yukalov, V. I., Yukalova, E. P.
core   +1 more source

On the Evolution Operators of a Class of Linear Time-Delay Systems

Mathematics
This paper studies the properties of the evolution operators of a class of time-delay systems with linear delayed dynamics. The considered delayed dynamics may, in general, be time-varying and associated with a finite set of finite constant point delays.
Manuel De la Sen
doaj   +1 more source

On Uniform Exponential Trichotomy in Banach Spaces

Annals of the West University of Timisoara: Mathematics and Computer Science, 2014
In this paper we consider three concepts of uniform exponential trichotomy on the half-line in the general framework of evolution operators in Banach spaces.
Kovacs Monteola Ilona
doaj   +1 more source

Size of bulk fermions in the SYK model

Journal of High Energy Physics, 2020
The study of quantum gravity in the form of the holographic duality has uncovered and motivated the detailed investigation of various diagnostics of quantum chaos.
Yuri D. Lensky, Xiao-Liang Qi, Pengfei Zhang   +2 more
doaj   +1 more source

Dispersion Estimates for the Discrete Laguerre Operator [PDF]

, 2016
We derive an explicit expression for the kernel of the evolution group $\exp(-\mathrm{i} t H_0)$ of the discrete Laguerre operator $H_0$ (i.e. the Jacobi operator associated with the Laguerre polynomials) in terms of Jacobi polynomials.
Kostenko, Aleksey, Teschl, Gerald
core   +2 more sources

Pareto optimality for nonlinear infinite dimensional control systems

International Journal of Mathematics and Mathematical Sciences, 1990
In this note we establish the existence of Pareto optimal solutions for nonlinear, infinite dimensional control systems with state dependent control constraints and an integral criterion taking values in a separable, reflexive Banach lattice.
Evgenios P. Avgerinos, Nikolaos S. Papageorgiou   +1 more
doaj   +1 more source

Complexity growth in integrable and chaotic models

Journal of High Energy Physics, 2021
We use the SYK family of models with N Majorana fermions to study the complexity of time evolution, formulated as the shortest geodesic length on the unitary group manifold between the identity and the time evolution operator, in free, integrable, and ...
Vijay Balasubramanian, Matthew DeCross, Arjun Kar, Yue (Cathy) Li, Onkar Parrikar   +4 more
doaj   +1 more source