Markovian limits of multi time correlation functions for open quantum systems

1984 ◽  
pp. 113-118 ◽  
Author(s):  
R. Dümcke
Keyword(s):  
Correlation Functions ◽  
Open Quantum Systems ◽  
Time Correlation ◽  
Quantum Systems ◽  
Time Correlation Functions ◽  
Open Quantum

scholarly journals Numerical evaluation of two-time correlation functions in open quantum systems with matrix product state methods: a comparison

2020 ◽  
Vol 3 (2) ◽  
Author(s):  
Stefan Wolff ◽  
Ameneh Sheikhan ◽  
Corinna Kollath
Keyword(s):  
Correlation Functions ◽  
Open Quantum Systems ◽  
Time Correlation ◽  
Quantum Systems ◽  
Quantum Trajectories ◽  
Time Correlation Functions ◽  
Matrix Product ◽  
Product State ◽  
Open Quantum ◽  
Matrix Product State

We compare the efficiency of different matrix product state (MPS) based methods for the calculation of two-time correlation functions in open quantum systems. The methods are the purification approach[1] and two approaches[2,3] based on the Monte-Carlo wave function (MCWF) sampling of stochastic quantum trajectories using MPS techniques. We consider a XXZ spin chain either exposed to dephasing noise or to a dissipative local spin flip. We find that the preference for one of the approaches in terms of numerical efficiency depends strongly on the specific form of dissipation.

scholarly journals Non-Markovian correlation functions for open quantum systems

2016 ◽  
Vol 18 (8) ◽  
pp. 083038 ◽  
Author(s):  
Jinshuang Jin ◽  
Christian Karlewski ◽  
Michael Marthaler
Keyword(s):  
Correlation Functions ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum

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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