Atomic, Molecular and Optical Physicist (PhD)

## About the work

**CritPt** is a public benchmark of research-level physics challenges, built to test whether frontier AI models can carry out genuine physics research reasoning rather than textbook problem solving. The benchmark paper is **[arXiv:2509.26574](https://arxiv.org/abs/2509.26574)** and we recommend reading it before applying. It will tell you quickly whether this work interests you.

We are engaging physicists to work on research-level physics problems in their own subfield. Depending on where your publication record fits, that can mean creating problems, solving them, reviewing completed work, or auditing it. We agree the specific assignment with you once you are matched to an area.

This is research-grade work rather than volume work. Whatever you produce has to be complete enough for another specialist in your subfield to follow and verify independently, so written reasoning is part of every assignment.

## Research areas in this panel

Seven areas. We match narrowly: you need to have published on one of these specific phenomena, not in AMO broadly. Each area lists the methods it requires.

**1. Strong-field and high-harmonic generation, structured light and angular momentum:** High-harmonic generation, orbital angular momentum of structured light, spin angular momentum and optical helicity, angular momentum conservation selection rules, self-torque of light, strong-field light-matter interaction.

**2. Levitated optomechanics: optical binding and dipole-dipole coupled oscillators:** Levitated optomechanics, optical tweezers, optical binding, light-induced dipole-dipole interactions, Rayleigh point-dipole approximation, Gaussian beam propagation, nonreciprocal coupling, coupled harmonic oscillator normal modes.

**3. Levitated optomechanics: torsional and librational modes of anisotropic nanoparticles:** Levitated optomechanics, torsional and librational modes, anisotropic polarizability of dielectric ellipsoids, optical tweezers, light-induced dipole-dipole torques, rigid-body rotational dynamics, harmonic quantization of small oscillations, beam-splitter coupling Hamiltonians.

**4. Precision measurement: Penning-trap quantum cyclotron, cavity QED radiative shifts:** Geonium theory of Penning traps, single-electron quantum cyclotron, cavity quantum electrodynamics mode structure, quantization of the radiation field, non-relativistic perturbation theory, dipole approximation, radiative frequency shifts and self-energy subtraction, electron magnetic moment tests of quantum electrodynamics.

**5. Ultracold atoms in optical lattices: tight-binding and Wannier parametrization:** Optical lattice potentials from laser interference, AC Stark shift and atomic polarizability, tight-binding lattice Hamiltonians, Wannier function formalism, harmonic approximation of lattice wells, s-wave contact pseudopotential, recoil energy and deep-lattice expansion, quantum simulation with ultracold fermions.

**6. Cavity QED: Jaynes-Cummings, dark states, open-system steady states:** Cavity quantum electrodynamics, Jaynes-Cummings interaction, bright and dark atomic states, Lindblad master equations, spontaneous emission into free space, coherent states of the radiation field, steady states of open quantum systems, photon-number coherences and decoherence.

**7. Few-body physics: Efimov effect, hyperspherical methods, zero-range universality:** Efimov effect, hyperspherical coordinates and hyperangular channel functions, zero-range Bethe-Peierls boundary conditions, discrete scale invariance in the three-body problem, bosonic permutation symmetrization, universality at large scattering length, wave-function overlap integrals.

## Methods we expect to find in your own publications

You should be able to point to your own papers demonstrating **at least one** of the following families:

• Light-matter: high-harmonic generation, angular momentum conservation selection rules, strong-field light-matter interaction, AC Stark shift and a