The Density Matrix and the Relaxation of Two-Level Systems


Author(s):  
Sambarta Chatterjee ◽  
Nancy Makri

We investigate the time evolution of the reduced density matrix (RDM) and its purity in the dynamics of a two-level system coupled to a dissipative harmonic bath, when the system is initially placed in one of its eigenstates.



2021 ◽  
Vol 23 (9) ◽  
pp. 5113-5124
Author(s):  
Sambarta Chatterjee ◽  
Nancy Makri

The time evolution of the purity (the trace of the square of the reduced density matrix) and von Neumann entropy in a symmetric two-level system coupled to a dissipative harmonic bath is investigated through analytical arguments and accurate path integral calculations on simple models and the singly excited bacteriochlorophyll dimer.



2017 ◽  
Vol 72 (2) ◽  
pp. 163-170 ◽  
Author(s):  
Karl Joulain ◽  
Younès Ezzahri ◽  
Jose Ordonez-Miranda

AbstractWe study in this article how heat can be exchanged between two-level systems, each of them being coupled to a thermal reservoir. Calculations are performed solving a master equation for the density matrix using the Born–Markov approximation. We analyse the conditions for which a thermal diode and a thermal transistor can be obtained as well as their optimisation.



1985 ◽  
Vol 46 (1) ◽  
pp. 1-4 ◽  
Author(s):  
R. Omnès


1982 ◽  
Vol 43 (C9) ◽  
pp. C9-525-C9-527
Author(s):  
G. P. Singh ◽  
R. Vacher ◽  
R. Calemczuk


AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 723-731
Author(s):  
Thomas Settersten ◽  
Mark Linne ◽  
James Gord ◽  
Gregory Feichtner


1983 ◽  
Vol 56 (3) ◽  
pp. 897-903 ◽  
Author(s):  
E. K. Bashkirov ◽  
N. N. Bogolyubov ◽  
A. S. Shumovskii




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