Semiconductor Bloch Equations

2012 ◽  
pp. 813-833 ◽  
Author(s):  
R. v. Baltz ◽  
Claus F. Klingshirn
Keyword(s):  
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.

scholarly journals Semiconductor Bloch-equations formalism: Derivation and application to high-harmonic generation from Dirac fermions

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Jan Wilhelm ◽  
Patrick Grössing ◽  
Adrian Seith ◽  
Jack Crewse ◽  
Maximilian Nitsch ◽  
...  
Keyword(s):  
Harmonic Generation ◽  
High Harmonic ◽  
High Harmonic Generation ◽  
Dirac Fermions ◽  
Bloch Equations

SYMMETRY PROPERTIES IN THE STUDY OF THE RAYLEIGH-TYPE OPTICAL MIXING SIGNAL IN PRESENCE OF A THERMAL BATH

2013 ◽  
Vol 22 (01) ◽  
pp. 1350007
Author(s):  
J. L. PAZ ◽  
A. MASTRODOMENICO ◽  
M. A. IZQUIERDO
Keyword(s):  
Electromagnetic Field ◽  
Molecular System ◽  
Thermal Bath ◽  
Bloch Equations ◽  
System A ◽  
Symmetry Properties ◽  
Intensity Response ◽  
Optical Mixing ◽  
Cumulant Expansions

In this work are studied the symmetry properties of the Rayleigh-type optical mixing signal of a two-level molecular system immersed in a thermal bath and irradiated by a classical electromagnetic field. The solvent induces a random shift of the Bohr frequency in the molecular system. A methodology based in cumulant expansions is employed to obtain the average of the coherences, populations, and susceptibilities of Fourier components associated, calculated by the optical stochastic Bloch equations. These symmetry properties show the dependence of the measured spectra with the variations in the frequencies of the incident fields. Our results show that the inclusion of the thermal bath diminishes the intensity response as well it promotes the loss of the symmetry properties, compared with the same results in the absence of the bath.

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