Stochastic optical Bloch equations in complex system with vibronic coupling: Use of Novikov’s theorem

2020 ◽  
Vol 760 ◽  
pp. 138000
Author(s):  
J.L. Paz ◽  
Fernando Moncada ◽  
Eleana Ruiz-Hinojosa ◽  
Y.J. Alvarado ◽  
Luis Lascano ◽  
...  
Keyword(s):  
Complex System ◽  
Vibronic Coupling ◽  
Bloch Equations ◽  
Optical Bloch Equations

Quantum description of light–matter coupling

2017 ◽  
Author(s):  
Alexey V. Kavokin ◽  
Jeremy J. Baumberg ◽  
Guillaume Malpuech ◽  
Fabrice P. Laussy
Keyword(s):  
Cavity Mode ◽  
Optical Field ◽  
Level System ◽  
Bloch Equations ◽  
Optical Bloch Equations ◽  
Matter Coupling ◽  
Matter Interaction ◽  
Light Matter Interaction ◽  
Full Quantum ◽  
The Ideal

In this chapter we study with the tools developed in Chapter 3 the basic models that are the foundations of light–matter interaction. We start with Rabi dynamics, then consider the optical Bloch equations that add phenomenologically the lifetime of the populations. As decay and pumping are often important, we cover the Lindblad form, a correct, simple and powerful way to describe various dissipation mechanisms. Then we go to a full quantum picture, quantizing also the optical field. We first investigate the simpler coupling of bosons and then culminate with the Jaynes–Cummings model and its solution to the quantum interaction of a two-level system with a cavity mode. Finally, we investigate a broader family of models where the material excitation operators differ from the ideal limits of a Bose and a Fermi field.

Analytical solutions and expressions of the propagator for Bloch equations

2020 ◽  
Vol 34 (18) ◽  
pp. 2050158
Author(s):  
Heung-Ryoul Noh
Keyword(s):  
Analytical Solutions ◽  
Initial Conditions ◽  
Secular Equation ◽  
Magnetization Vector ◽  
Bloch Equations ◽  
Optical Bloch Equations ◽  
Parameter Spaces ◽  
Pulse Spectroscopy ◽  
Analytical Expressions ◽  
Composite Laser

In this paper, we present analytical solutions to the Bloch equations. After solving the secular equation for the eigenvalues, derived from the Bloch equations, analytical solutions for the temporal evolution of the magnetization vector are obtained at arbitrary initial conditions. Subsequently, explicit analytical expressions of the propagator for the Bloch equations and optical Bloch equations are obtained. Compared to the results of existing analytical studies, the present results are more succinct and rigorous, and they can predict the behavior of the propagator in different regions of parameter spaces. The analytical solutions to the propagator can be directly used in composite laser-pulse spectroscopy.

scholarly journals Time-domain violation of the optical Bloch equations for solids

1993 ◽  
Vol 48 (10) ◽  
pp. 6903-6907 ◽  
Author(s):  
R. N. Shakhmuratov ◽  
A. Szabo
Keyword(s):  
Time Domain ◽  
Bloch Equations ◽  
Optical Bloch Equations

Optical Bloch equations with multiply connected states

2008 ◽  
Vol 41 (8) ◽  
pp. 085502 ◽  
Author(s):  
D N Stacey ◽  
D M Lucas ◽  
D T C Allcock ◽  
D J Szwer ◽  
S C Webster
Keyword(s):  
Bloch Equations ◽  
Optical Bloch Equations ◽  
Multiply Connected
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