Results 21 to 30 of about 3,041,303 (142)

BROTOCs and Quantum Information Scrambling at Finite Temperature [PDF]

Quantum, 2022
Out-of-time-ordered correlators (OTOCs) have been extensively studied in recent years as a diagnostic of quantum information scrambling. In this paper, we study quantum information-theoretic aspects of the $regularized$ finite-temperature OTOC.
Namit Anand, Paolo Zanardi
doaj   +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

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

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

On operator growth and emergent Poincaré symmetries

Journal of High Energy Physics, 2020
We consider operator growth for generic large-N gauge theories at finite temperature. Our analysis is performed in terms of Fourier modes, which do not mix with other operators as time evolves, and whose correlation functions are determined by their two ...
Javier M. Magán, Joan Simón
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

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

Time evolution after double trace deformation

Journal of High Energy Physics, 2018
In this paper, we consider double trace deformation to single CFT2, and study time evolution after the deformation. The double trace deformation we consider is nonlocal: composed of two local operators placed at separate points.
Masamichi Miyaji
doaj   +1 more source

Quantum stochastic operator cocycles via associated semigroups. [PDF]

, 2007
A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic ...
Wills, S. J., Lindsay, J. Martin
core   +4 more sources