scholarly journals Time correlation functions for quantum systems: Validating Bayesian approaches for harmonic oscillators and beyond

2021 ◽  
Vol 155 (13) ◽  
pp. 134108
Author(s):  
Vladislav Efremkin ◽  
Jean-Louis Barrat ◽  
Stefano Mossa ◽  
Markus Holzmann
Keyword(s):  
Correlation Functions ◽  
Time Correlation ◽  
Quantum Systems ◽  
Harmonic Oscillators ◽  
Time Correlation Functions ◽  
Bayesian Approaches

Time correlation functions in quantum systems

1984 ◽  
Vol 81 (5) ◽  
pp. 2512-2513 ◽  
Author(s):  
D. Thirumalai ◽  
B. J. Berne
Keyword(s):  
Correlation Functions ◽  
Time Correlation ◽  
Quantum Systems ◽  
Time Correlation Functions

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 Two-time correlation functions: stochastic and conventional quantum mechanics

2005 ◽  
Vol 48 (2) ◽  
pp. 233-242 ◽  
Author(s):  
L. Feligioni ◽  
O. Panella ◽  
Y. N. Srivastava ◽  
A. Widom
Keyword(s):  
Quantum Mechanics ◽  
Correlation Functions ◽  
Time Correlation ◽  
Time Correlation Functions
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