7 papers
Experimental realization of quantum Zeno dynamics for robust quantum metrology
Ran Liu, Xiaodong Yang, Xiang Lv +5
Quantum Zeno dynamics (QZD), which restricts the system's evolution to a protected subspace, provides a promising approach for protecting quantum information from noise. Here, we e…
Generalized Ornstein-Uhlenbeck process for affine stochastic functional differential equations and its applications
Xiang Lv
This paper studies the existence and global stability of generalized Ornstein-Uhlenbeck process for affine stochastic functional differential equations. Various very basic and impo…
An abstract criterion on the existence and global stability of stationary solutions for random dynamical systems and its applications
Xiang Lv
We prove a concise and easily verifiable criterion on the existence and global stability of stationary solutions for random dynamical systems (RDSs). As a consequence, we can show…
Fisher-Based Sensitivity Framework for Rydberg Atom Microwave Electrometry
Chen-Rong Liu, Runxia Tao, Xiang Lv +4
Fisher information provides a rigorous theoretical benchmark for evaluating quantum sensor sensitivity; however, a comprehensive framework for quantifying the fundamental limits of…
Small-gain theorems for nonlinear stochastic systems with inputs and outputs II: Multiplicative white noise case
Jifa Jiang, Xiang Lv
This paper is a continuation of the paper \cite{JL}, which focuses on exploring the global stability of nonlinear stochastic feedback systems on the nonnegative orthant driven by m…
A small-gain theorem for nonlinear stochastic systems with inputs and outputs I: Additive white noise
Jifa Jiang, Xiang Lv
This paper studies a small-gain theorem for nonlinear stochastic equations driven by additive white noise in both trajectories and stationary distribution. Motivated by the most re…
Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems
Xiang Lv
In this paper, we mainly consider the existence of infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems , wh…