function of an open quantum systemGaussian reservoirAn exact formula of a two-time correlation function is derived for an open quantum system which interacts with a Gaussian thermal reservoir. It is provided in terms of functional derivative with respect to fictitious fields. A perturbative expansion...
We propose an algorithm for the numerical simulation of two-time correlation functions by means of stochastic wave functions. As a first application, we investigate the two-time correlation function of a nonlinear optical parametric oscillator.doi:10.1080/09500349908231343...
Unlike the linear-response regime, where the frequency-dependent response function is independent of time, in a far-from-equilibrium experiment, the response function depends on two times in the time domain. In this work, we describe how one can use time-dependent frequency response functions and...
two-time correlation functionquantum trajectoryWe developed a technique for calculating two-time correlation functions based on a quantum trajectory approach. Our method requires the simulation of the evolution of a given set of density matrices only once. The evaluation can be carried out from the ...
Lag Effects: If a lead-lag relationship exists, compute the cross-correlation function to find the correlation at different lags. Example For and : , . Numerator: , Denominator: . (perfect positive correlation). When to Use Alternatives Spearman’s Rank Correlation: For monotonic but non-linear...
Two-time Green's function method in quantum electrodynamics of high-Z few-electron atoms Investigation of two-time correlations in photon emissions from a single atom Multirate and composite control of two-time-scale discrete-time systems
It is found that both the correlation time and the details of the shape of the input random function affect appreciable the response covariance. In the present paper we focus on a monostable cubic half-oscillator, excited by a smoothly-correlated, linear-plus-cubic-Gaussian (non-Gaussian) ...
Calculation of the second order correlation function for light that is a mixture of laser light and chaotic light of the same central frequency has been done by several groups. We have measured the two-photon counting rate in a mixed light beam and have found good agreement with these ...
A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems is established in the general case of random noise with arbitrary correlation time, yielding a fully consistent new theory for non-Markovian systems. We... D Venturi,TP Sapsis...
A consistent approach to the problem of testing non-correlation between two univariate infinite-order autoregressive models was proposed by Hong (1996). His test is based on a weighted sum of squares of residual cross-correlations, with weights depending on a kernel function. In this paper, the...