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Condensed Matter Theory and Quantum Information Science in Quantum Materials

Maynooth University Department of Physics
✓ Fully Funded 🎓 Physics 🎓 Quantum Information Science topological phases condensed matter theory quantum information science quantum materials quantum technology quantum simulability quantum spin liquids fermionic quantum circuits

Explore fundamental questions in condensed matter theory and quantum information science focusing on quantum materials and their dynamics. Conduct theoretical research on quantum spin liquids, error correction, and topological phases to advance understanding and technology development.

AI-generated overview

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Why This Research Matters

This research enhances understanding of quantum materials critical for advancing quantum technologies such as quantum computing and simulation. Insights into error-correction and topological phase stability could enable more robust and scalable quantum devices, impacting technology development and future applications.

Condensed matter theory quantum information

Project Description

Project Overview

This PhD project is situated in condensed matter theory and quantum information science. The newly formed Heath Group at Maynooth University explores quantum materials, quantum simulatability, and quantum technology. Research topics include many-body signatures of quantum spin liquids in magnonic transport, error-correction capabilities of many-body phases of matter, stability of topological phases under open system dynamics, and measurement-induced dynamics in fermionic quantum circuits.

What You Will Do

The student will carry out theoretical and computational investigations of quantum materials and quantum information phenomena. Research specifics may be adapted based on the student’s interests and skills, with expected coding in Python, Julia, or C/C++ contributing to modeling and simulations.

Expected Outcomes

The research will provide insights into the behavior and robustness of quantum phases relevant to quantum technologies and simulators. Outcomes include advancing understanding of quantum error correction, dynamics of quantum many-body systems, and topological matter stability, potentially impacting quantum computing and materials science.

Why This Matters

Understanding quantum materials and their information-theoretic properties is crucial for developing next-generation quantum technologies. This research supports advances in scalable quantum systems and enhances knowledge about quantum error correction and topological robustness, foundational for reliable quantum computing applications.

Entry Requirements

Applicants must have at least a first class or 2.1 honours degree (or equivalent) in physics or a related field, or a Master’s degree in physics by September 2026. Priority given to candidates with at least one relevant arXiv paper. Proficiency in Python, Julia, and/or C/C++ is expected. Must meet Maynooth University's English language requirements.

How to Apply

Please review full scholarship details and application instructions on the Maynooth University website. Application deadline is 2026-06-01 at 23:59 GMT.

Eligibility

UK/Home
EU
International

Supervisor Profile

DJ
Dr. Joshuah Heath
Maynooth University, Department of Physics
108 Citations
5 h-index
Google Scholar

Dr. Joshuah Heath leads the Heath Group at Maynooth University focusing on condensed matter theory and quantum information science, investigating quantum materials, quantum simulatability, and quantum technology. His research combines theoretical and computational approaches to explore many-body quantum systems, topological phases, and quantum dynamics. With a growing recognition in the field, he actively collaborates internationally.

Key Publications

2020 41 citations
Necessary and sufficient conditions for the validity of Luttinger’s theorem
2022 19 citations
Quantum computing 2022
2025 8 citations
Universal scaling relations in electron-phonon superconductors
2024 6 citations
Entanglement spectrum of matchgate circuits with universal and non-universal resources
2019 6 citations
Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions

Research Contributions

Study of fundamental conditions for the validity of Luttinger's theorem in condensed matter systems.
Provides theoretical framework critical for understanding electron behavior in complex quantum materials.
Exploration of universal scaling relations in electron-phonon superconductors.
Advances knowledge essential for designing higher temperature and more efficient superconducting materials.
Investigation of entanglement spectra in matchgate circuits for quantum information processing.
Supports development of quantum computing algorithms by characterizing resources for quantum circuits.
Development of a number-conserving theory explaining exotic quantum statistics of Majorana fermions.
Enables theoretical insights important for topological quantum computing and novel quantum states.

More PhDs with Dr. Joshuah Heath

PhD Scholarship in Condensed Matter Theory and Quantum Information Science
Maynooth University Dr. Joshuah Heath Deadline: 01 Jun 2026

Explore groundbreaking quantum materials research by joining Maynooth University's Heath Group for a fully funded PhD. Develop expertise in quantum information science with access to extensive resources and expert super…

This research will deepen understanding of complex quantum systems and topological phases, critical for quantum technology advancement. It …

1500+ citations · h18
Quantum Materials Condensed Matter Theory Quantum Information Science Topological Phases

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