Monthly Archives: November 2024

The purpose of this post is to describe the relevant theory needed to understand the paper “High signal to noise absorption imaging of alkali atoms at moderatemagnetic fields” by Hans et al. In particular, a key paper which they cite … Continue reading →

Consider an non-interacting gas of identical fermions (e.g. electrons \(e^-\)); this is called an ideal Fermi gas. Because the Pauli exclusion principle prohibits identical fermions from occupying the same quantum state, the grand canonical partition function \(\mathcal Z\) for an … Continue reading →

The purpose of this post is to prove several general identities concerning the quantum statistical mechanics of an isolated, ideal Bose gas at equilibrium. Problem #\(1\): Specify the physics (i.e. write down the Hamiltonian \(H\) for an isolated, ideal Bose … Continue reading →

Consider a single isolated atom with time-independent Hamiltonian \(H\). Such an atom will admit infinitely many bound \(H\)-eigenstates, but for simplicity one can focus on just two such bound states (think of it as a qubit) \(|0\rangle\) and \(|1\rangle\) which … Continue reading →

The purpose of this (expected-to-be-quite-long) post is to tour a bunch of phenomena in classical electromagnetism when working inside some kind of material (e.g. dielectrics, diamagnets, paraelectrics, paramagnets, ferroelectrics, ferromagnets, etc.). However, rather than just discussing one topic after another … Continue reading →