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Notations

I set $ \hbar=1$ in most of the text, to remove the distinction between energy and frequency. The energy (time) unit will be the coupling constant $ g$ (inverse $ 1/g$), if not otherwise specified. The hat for the quantum operators is omitted for simplicity, their nature being always clear from the context.

The cavity mode and its associated quantities will be denoted with the letter $ a$ ($ \omega_a$, $ \gamma_a$, $ P_a$...); the exciton mode with the letter $ b$, when bosonic, and $ \sigma$, when fermionic. In the case of two quantum dots, $ \sigma_1$ and $ \sigma_2$ will be the notations for the annihilation operators. The labels $ E1$ and $ E2$ will be used for QD1 and QD2 and their excited states whenever the more concise notation, $ 1$ and $ 2$, would be potentially confusing (like in Chapter 4).

I will use notations of naive set theory, such as  $ \mathbb{R}$ to refer to real numbers and  $ \mathbb{C}$ to complex numbers (the so-called $ c$-numbers of Dirac). Therefore, I will write $ p\in\mathbb{R}$ to mean that $ p$ is real. The bracket notation for intervals is as follows: $ p\in(0,1]$ means $ 0< p\le 1$.

More particular or punctual notations are introduced in the text when they are needed.

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Next: List of acronyms Up: Abstract Previous: English   Contents
Elena del Valle ©2009-2010-2011-2012.