Large scale behavior of equilibrium time correlation functions for some stochastic ising models

2008 ◽  
pp. 304-331 ◽  
Author(s):  
Herbert Spohn
Keyword(s):  
Correlation Functions ◽  
Large Scale ◽  
Ising Models ◽  
Time Correlation ◽  
Time Correlation Functions ◽  
Equilibrium Time ◽  
Scale Behavior

On the calculation of equilibrium time correlation functions in hard-sphere fluids

1989 ◽  
Vol 54 (1-2) ◽  
pp. 273-313 ◽  
Author(s):  
I. M. de Schepper ◽  
E. G. D. Cohen ◽  
B. Kamgar-Parsi
Keyword(s):  
Correlation Functions ◽  
Hard Sphere ◽  
Time Correlation ◽  
Time Correlation Functions ◽  
Equilibrium Time

scholarly journals Stochastic Schrödinger equation derivation of non-Markovian two-time correlation functions

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Rafael Carballeira ◽  
David Dolgitzer ◽  
Peng Zhao ◽  
Debing Zeng ◽  
Yusui Chen
Keyword(s):  
Schrödinger Equation ◽  
Correlation Functions ◽  
Schrodinger Equation ◽  
Large Scale ◽  
Evolution Equations ◽  
Time Correlation ◽  
Time Correlation Functions ◽  
Open Quantum ◽  
Stochastic Schrödinger Equation ◽  
Significant Difference

AbstractWe derive the evolution equations for two-time correlation functions of a generalized non-Markovian open quantum system based on a modified stochastic Schrödinger equation approach. We find that the two-time reduced propagator, an object that used to be characterized by two independent stochastic processes in the Hilbert space of the system, can be simplified and obtained by taking ensemble average over one single noise. This discovery can save the cost of computation, and accelerate the converging process when taking the average over noisy trajectories. As a result, our method can be widely applied to many open quantum models, especially large-scale systems and extend the quantum regression theory to the non-Markovian case. In the short-time simulations, it is observed a significant difference between Markovian and non-Markovian cases, which can be applied to realize the environmental spectrum detection and enhance the measurement sensitivity in varying open quantum systems.

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