Disordered Spin Systems and Quantum-Code Evaluator

This IXO track examines whether advanced theoretical and numerical arguments remain correct when disorder, topology and finite-system behavior matter. Assignments may involve solving a problem, auditing another solution, or adjudicating competing results according to your specialist experience.

Work you will do

• Analyze replicated random-bond Ising and Ashkin–Teller models, including their relationship to the Nishimori line and toric-code threshold phenomena.
• Check arguments involving Kramers–Wannier duality, quenched-disorder averaging and square-lattice self-duality; make hidden assumptions explicit.
• Evaluate numerical work on the four-state Potts model and explain the interpretation of domain-wall free energy.
• Investigate noncontractible loop defects and other relevant topological features, providing reproducible calculations or precise critiques where appropriate.

Preferred background

• PhD-level or equivalent research background in statistical physics, quantum information or condensed-matter theory.
• Practical research using duality, quenched-disorder averaging and lattice self-duality.
• Numerical experience with the four-state Potts model and domain-wall free energy, plus familiarity with topological codes and toric-code thresholds.

Deliverables

A defensible solution, a structured audit or an adjudication that separates established results from numerical or theoretical uncertainty.

Location and schedule

Fully remote; worldwide applications are welcome.

The indicative commitment is 5–10 or more hours a week with flexible timing; actual hours and deliverables will be agreed before work.

Pay and working terms

$105 $210/hr USD. IXO will agree the assignment scope, hourly rate, schedule and acceptance criteria before work begins. Work is a paid remote expert engagement; applying does not guarantee an assignment. Use only public, licensed or otherwise authorized material. Do not provide confidential employer information, personal data or restricted research.