Remote | Physics Expert (Condensed Matter / Quantum Information) — $100–$170/hour

We are sharing a specialised consulting opportunity for experienced Physics Experts in condensed matter physics, quantum information, and related many-body systems with strong expertise in exact diagonalisation, symmetry reduction, block-diagonalisation, QuSpin, Rydberg blockade, quantum many-body scars, and constrained quantum dynamics.

Selected professionals will contribute to a frontier research-level physics benchmark project involving the PXP model, Rydberg-blockaded systems, large Hilbert spaces, symmetry-resolved exact diagonalisation, and overlap analysis with Z2 states. Depending on expertise and seniority, contributors may serve as Solvers, Auditors, or Adjudicators. No prior experience in AI is required.

Key Responsibilities

Exact Diagonalisation

• Develop and analyse exact diagonalisation implementations for constrained quantum systems
• Work with translation and reflection symmetries
• Target large system sizes, including L 26
• Optimise numerical approaches for computational efficiency
• Validate implementations against expected physical behaviour

Symmetry Reduction & Block-Diagonalisation

• Construct symmetry-resolved subspaces
• Perform block-diagonalisation of many-body Hamiltonians
• Reduce computational complexity while preserving physical fidelity
• Work with large Hilbert-space sectors
• Verify symmetry assignments and resulting matrix structure

QuSpin & Numerical Implementation

• Use QuSpin where appropriate for exact diagonalisation and symmetry handling
• Implement numerical workflows for constrained many-body systems
• Compare QuSpin-based and custom approaches where relevant
• Diagnose computational or numerical issues
• Document reproducible analysis workflows

Z2 State Overlap Analysis

• Compute overlaps with Z2 and related quantum states
• Analyse overlap structure across eigenstates
• Interpret numerical results in the context of constrained dynamics
• Identify signatures associated with atypical or scarred eigenstates
• Relate overlap behaviour to physical properties of the system

Quantum Many-Body Scars & PXP Physics

• Analyse the PXP model and related constrained Hamiltonians
• Evaluate phenomena associated with quantum many-body scars
• Investigate non-ergodic dynamics within otherwise thermalising systems
• Assess the role of constraints and special initial states
• Interpret results within the broader context of many-body quantum dynamics

Rydberg Blockade & Constrained Dynamics

• Apply strong understanding of Rydberg-blockaded systems
• Analyse dynamics arising from constrained Hilbert spaces
• Evaluate numerical results against expected physical regimes
• Identify relevant approximations and limitations
• Connect computational observations with underlying many-body physics

Research Benchmark Evaluation

• Contribute detailed written analyses and technical assessments
• Evaluate proposed solutions and numerical approaches
• Identify conceptual, mathematical, or implementation errors
• Provide defensible feedback grounded in research-level physics
• Support high-quality benchmark development and validation

Solver, Auditor & Adjudicator Responsibilities

• Serve as a Solver by independently developing technically rigorous solutions
• Serve as an Auditor by reviewing calculations, code, and physical interpretations
• Serve as an Adjudicator when competing solutions or interpretations require expert judgement
• Clearly document reasoning behind technical conclusions
• Adapt responsibilities based on subfield expertise, methods experience, and seniority

Ideal Profile

• PhD or equivalent practical research experience in condensed matter physics, quantum information, or a closely related field
• Strong expertise in exact diagonalisation methods
• Demonstrated experience working with translation and reflection symmetries
• Experience handling large system sizes and reduced Hilbert-space sectors
• Strong proficiency with block-diagonalisation of Hamiltonians
• Practical experience with QuSpin is highly valuable
• Strong understanding of the PXP model
• Familiarity with Rydberg blockade physics
• Strong knowledge of quantum many-body scars
• Experience with constrained quantum dynamics
• Demonstrated ability to analyse Z2-state overlaps or related observables
• Strong numerical and computational physics skills
• Ability to interpret numerical results in a physically meaningful way
• Strong written scientific communication skills
• Ability to provide rigorous, research-level technical feedback
• No prior AI-training or model-evaluation experience is required

Engagement Details

• Independent contractor engagement
• Fully remote
• Compensation: $100–$170/hour
• Work will involve exact diagonalisation, symmetry resolution, block-diagonalisation, QuSpin, Z2 overlap analysis, PXP physics, Rydberg blockade, and quantum many-body scar evaluation
• Experience with translation and reflection symmetries for system sizes L 26 is particularly relevant
• Contributors may participate as Solvers, Auditors, or Adjudicators depending on expertise and seniority
• Strong hands-on numerical many-body physics experience is central to this engagement
• Assignments may involve Hamiltonian construction, symmetry sectors, numerical spectra, state overlaps, constrained dynamics, and research-level benchmark evaluation
• Project scope, workload, technical questions, and evaluation standards may evolve depending on project requirements
• Work must be completed without using confidential or proprietary information belonging to any employer, research institution, laboratory, collaborator, or other third party

About the Platform

This opportunity is available through 24-MAG LLC. We connect experienced professionals with remote consulting opportunities across technical, evaluation, and project-based workstreams.

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