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Condensed Matter Physics and Non-Equilibrium Statistical Mechanics● Open★ EU-FUNDEDPreview

PhD Position: Physical Learning in Dynamical Systems

Explore the physics of learning in non-equilibrium dynamical systems through theory and large-scale simulations.

Best for:Best for physics graduates or engineers with a strong interest in dynamical systems, machine learning, and computational modeling, seeking interdisciplinary research at the physics-AI interface.

AMOLF · Amsterdam, Netherlands · R1 · First-stage researcher
More professors at AMOLF
Physical learning in dynamical systemsNon-equilibrium statistical mechanicsAdaptive dynamical networksMachine learning theoryLocal learning rulesScaling laws in learning systems
Deadline
Dec 31, 2026
78 days
Funding
Salaried
€3.1k/mo
Start date
flexible
Full-time
Location
Amsterdam
Netherlands

Overview

This PhD position at AMOLF’s Learning Machines Group offers a unique opportunity to investigate how learning emerges in physical systems—from biological networks to adaptive materials—operating far from equilibrium. As part of an ERC Starting Grant project, the successful candidate will develop a theoretical framework for physical learning, combining analytical theory with numerical simulations. The work spans condensed matter physics, non-equilibrium statistical mechanics, and machine learning, aiming to uncover fundamental principles like scaling laws and phase boundaries. The PhD student will contribute to cutting-edge research at the intersection of physics and AI, with support from a collaborative, inclusive environment at Amsterdam Science Park.

PhD in physicsnon-equilibrium systemsdynamical networksphysical learningmachine learning theoryERC-funded researchPython/Matlab simulationscondensed matter physics

What you'll do

  • Develop local learning rules for dynamical physical systems without centralized optimization or backpropagation.
  • Compare physical learning approaches to idealized gradient-based machine learning methods.
  • Investigate constraints on learning imposed by locality, causality, non-reciprocity, and dissipation.
  • Study diverse adaptive dynamical networks (flow, mechanical, neuronal systems) via analytical theory and large-scale simulations.
  • Identify scaling laws, phase boundaries, and universal features of learning in matter.
  • Develop efficient simulation tools for adaptive dynamical networks.
  • Contribute to establishing a new physics of adaptive matter.

Requirements

Degree required: Master’s degree (or equivalent) in physics, mechanical engineering, materials science, or computer science

Degree offered: PhD

Language: English; no specific proficiency test required but excellent communication skills are mandatory

Instruction: English

Required skills
  • Strong background in physics, mechanical engineering, materials science, or computer science
  • Interest in learning theory, condensed matter, and complex systems
  • Excellent verbal and written communication skills in English
  • Proficiency in coding (Python or MATLAB)
  • Familiarity with numerical methods and complex dynamical systems
Nice to have
Experience with physical memories or machine learning conceptsBackground in computational modeling or simulations
Eligibility
  • Open to all nationalities
  • No residency restrictions
  • No age limits
  • No prior experience caps

Funding & terms

Type
Salaried
Amount
€3.1k/mo
Duration
4 years
Programme
ERC Starting Grant
EU-FUNDEDNetherlands Organization for Scientific Research (NWO-I)

How to apply

Deadline: 2026-12-31

Applicants must submit their application online via the AMOLF portal. The application process may include an online screening as part of the selection procedure. Ensure your application includes all required documents for full consideration.

Documents required
  • CV
  • Cover letter
  • Motivation letter
  • Transcripts of MSc degree
  • Proof of English proficiency (if applicable)
↗Apply on site

Contact

Dr. Menachem Stern· Group Leader

stern@amolf.nl

MS
Prof.
Menachem Stern
Learning Machines Group
Lab
Learning Machines Group
AMOLF
ERC Starting GrantNetherlands
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