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Heyl Group

@heylgroup

Quantum theory. Account of my research group at the University of Augsburg: https://www.uni-augsburg.de/en/fakultaet/mntf/physik/groups/theo3/

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28.12.2023
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Latest posts by Heyl Group @heylgroup

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Multiple PhD positions available: call for applications Our recently established collaborative research initiative “Machine Learning for Complex Quantum States” (MLCQS) – a consortium spanning eleven different institutions across Germany and Switzerland – ...

PhD opportunities at the interface machine learning/quantum physics

Joint call for PhD positions in our @dfg.de research unit "Machine learning for complex quantum states" together with @abohrdt.bsky.social @gppcarleo.bsky.social amongst others. Check it out at:

for5919.github.io/joinus/2025_...

10.02.2026 09:37 👍 5 🔁 2 💬 0 📌 0
Dynamics of defects and interfaces for interacting quantum hard disks Defects and interfaces are essential to understand the properties of matter. However, studying their dynamics in the quantum regime remains a challenge, in particular concerning the regime of two spat...

Defects & interfaces in quantum hard-disk crystals are stable just due to purely quantum effects, unlike their classical counterparts. Our work reveals robust quantum dynamics, indicative of the recently developed concept of many-body caging:

doi.org/10.1103/gnqx...

13.01.2026 07:56 👍 1 🔁 0 💬 0 📌 0
Active Quantum Flocks Flocks of animals represent a prominent archetype of collective behavior in the macroscopic classical world, where the constituents, such as birds, concertedly perform motions and actions as if being ...

Active quantum flocks

Flocks of animals are an archetype of collective behavior in the macroscopic world. Here, we show that flocks can also form at the quantum level with unique quantum features:

doi.org/10.1103/rd46...

Novel nonequilibrium phase of matter realizable in #Rydberg atomic systems.

15.12.2025 14:51 👍 5 🔁 1 💬 0 📌 0
Stylized image of a head containing a neural network, overlaying a gallery of images from scientific exploration (plots of curves and wave fields).

Stylized image of a head containing a neural network, overlaying a gallery of images from scientific exploration (plots of curves and wave fields).

Scientific discovery relies on a cycle of observations, analysis, and coming up with new hypotheses. Can a computer mimic that cycle and explore an unknown system in this way?

We introduce #SciExplorer, which for the first time employs agentic behaviour in […]

[Original post on fediscience.org]

03.10.2025 11:17 👍 3 🔁 6 💬 0 📌 0
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Faculty Position in Theory of Condensed Matter and Interacting Quantum Matter The School of Basic Sciences (Physics, Chemistry and Mathematics) at EPFL seeks to appoint a Tenure Track Assistant Professor in condensed matter theory with a focus on interacting quantum matter. Can...

EPFL are recruiting a tenure track assistant proff working on the theory of condensed matter and interacting quantum matter:

www.epfl.ch/about/workin...

Feel free to reach out if you have any questions about life at EPFL/in Switzerland etc.

24.07.2025 16:06 👍 16 🔁 4 💬 1 📌 0
Call for Applications / Ausschreibung

Call for Applications / Ausschreibung

Springboard for an international scientific career! 🧬🧪🔭⚛️🧠🌱 Call for #MaxPlanckResearchGroups launched; applications are possible until October 14, 2025 www.mpg.de/max-planck-r... #ScienceCareer

09.09.2025 12:10 👍 52 🔁 56 💬 2 📌 7
Group photo of postdocs conducting research at a Max Planck Institute

Group photo of postdocs conducting research at a Max Planck Institute

The #MaxPlanckPostdocProgram offers a guaranteed contract of at least 3 years, targeted mentoring, and career workshops. The call for applications is open now! 🚀 Take advantage of this opportunity and browse the job vacancies. www.mpg.de/en/max-planc...

01.09.2025 08:46 👍 113 🔁 100 💬 2 📌 3
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New KITP Program! #AIQMATTER26

AI for Quantum Matter

Dates: 7/27/2026 - 10/8/2026

buff.ly/N7hkYC3

27.06.2025 22:01 👍 7 🔁 3 💬 0 📌 0
Roughening Dynamics of Interfaces in the Two-Dimensional Quantum Ising Model The properties of interfaces are key to understanding the physics of matter. However, the study of quantum interface dynamics has remained an outstanding challenge. Here, we use large-scale tree tenso...

Interfaces are key to understand the physics of matter. Remarkably, (only) in 2D #quantum systems interfaces can undergo their own phase transition. The dynamical signatures of this #roughening we study in our latest PRL:

link.aps.org/doi/10.1103/...

Readily accessible in #Rydberg systems.

20.06.2025 15:18 👍 3 🔁 0 💬 0 📌 0
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Simulating dynamics of correlated matter with neural quantum states While experimental advancements continue to expand the capabilities to control and probe non-equilibrium quantum matter at an unprecedented level, the numerical simulation of the dynamics of correlate...

Review on solving dynamics of quantum matter by means of neural quantum states #NQS out now:

arxiv.org/abs/2506.03124

#machinelearning boosts real-time simulations in #quantum many-body systems, in particular in the challenging regime of two spatial dimensions.

04.06.2025 13:48 👍 2 🔁 0 💬 0 📌 0

We have several open, fully-funded PhD and Postdoc positions at my group, now at the University of Tübingen. Please #RT and share with potential candidates!

Generally: AI for scientific discoveries in physics 🔥.
mariokrenn.wordpress.com/wp-content/u...

27.05.2025 23:24 👍 20 🔁 14 💬 0 📌 1
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Many-body cages: disorder-free glassiness from flat bands in Fock space, and many-body Rabi oscillations We identify the many-body counterpart of flat bands, which we call many-body caging, as a general mechanism for non-equilibrium phenomena such as a novel type of glassy eigenspectrum order and many-bo...

Many-body cages: a novel mechanism for nonergodicity and nonequilibrium phases based on the emergence of flat bands in the many-body spectrum of constrained quantum matter. Yields disorder-free spin glasses and leads to coherent many-body Rabi-type oscillations:

arxiv.org/abs/2504.13086

18.04.2025 09:42 👍 5 🔁 0 💬 0 📌 0
Fractional diffusion without disorder in two dimensions We analyse how simple local constraints in two dimensions lead a defect to exhibit robust, non-transient, and tunable, subdiffusion. We uncover a rich dynamical phenomenology realised in ice- and dime...

Fractional diffusion without disorder: Local gauge constraints in 2D induce robust, tunable #subdiffusion dynamics. Relevant for platforms like artificial spin ice and quantum simulators aiming to realize discrete link models and emergent #gauge theories:

doi.org/10.48550/arX...

02.04.2025 09:35 👍 4 🔁 0 💬 0 📌 0
Dynamics of defects and interfaces for interacting quantum hard disks Defects and interfaces are essential to understand the properties of matter. However, studying their dynamics in the quantum regime remains a challenge in particular concerning the regime of two spati...

The dynamics in the 2D quantum hard-disk model exhibits nonergodic behavior just due quantum interference effects. We now show that these survive even perturbations, highlighting the unconventional constrained dynamics of the quantum hard disk model:

doi.org/10.48550/arX...

20.03.2025 10:15 👍 1 🔁 0 💬 0 📌 0
Probing prethermal nonergodicity through measurement outcomes of monitored quantum dynamics Projective measurements are a key element in quantum physics and enable rich phenomena in monitored quantum dynamics. Here, we show that the measurement outcomes, recorded during monitored dynamics, c...

Recording the measurements in monitored quantum dynamics provides insights into the monitored system itself. #unsupervisedlearning shows that information loss due to enhanced entanglement is compensated by emergent structure in classical datasets of measurements:

doi.org/10.48550/arX...

19.03.2025 19:15 👍 4 🔁 0 💬 0 📌 0
Convolutional transformer wave functions Deep neural quantum states have recently achieved remarkable performance in solving challenging quantum many-body problems. While transformer networks appear particularly promising due to their succes...

Convolutional transformer wave functions

New type of neural quantum state enables solution of challenging quantum many-body problems with superior performance in both ground-state searches and dynamics. Check preprint at the interface between #quantum and #machinelearning:

doi.org/10.48550/arX...

14.03.2025 15:31 👍 5 🔁 0 💬 0 📌 0
Probing quantum many-body dynamics using subsystem Loschmidt echos The Loschmidt echo - the probability of a quantum many-body system to return to its initial state following a dynamical evolution - generally contains key information about a quantum system, relevant ...

Probing quantum many-body dynamics using subsystem Loschmidt echos

Experimentally accessing the Loschmidt echo reveals dynamical phase transitions & Hilbert space fragmentation in quantum gases. Promising tool for exploring non-equilibrium dynamics, check out here:

doi.org/10.48550/arX...

29.01.2025 10:28 👍 3 🔁 0 💬 0 📌 0
Quantum hard disks on a lattice We formulate a quantum version of the hard-disk problem on lattices, which exhibits a natural realization in systems of Rydberg atoms. We find that quantum hard disks exhibit unique dynamical quantum ...

Quantum hard disks

Quantum counterpart of hard disks on a lattice yields unique quantum features. Quantum interference stabilizes crystals and leads to emergence of quantum many-body scars. Naturally realizable in Rydberg atomic systems, check it out here:

doi.org/10.1103/Phys...

16.01.2025 06:56 👍 2 🔁 0 💬 0 📌 0

Hello Bluesky! We're very excited to start sharing our research here, and connect with the #quantum #matter community ⚛️ Say hello below if you work on ultracold physics, or let us know who to follow here!

13.01.2025 10:22 👍 8 🔁 2 💬 0 📌 1
Roughening dynamics of interfaces in two-dimensional quantum matter The properties of interfaces are key to understand the physics of matter. However, the study of quantum interface dynamics has remained an outstanding challenge. Here, we use large-scale Tree Tensor N...

Roughening dynamics in 2D quantum matter

Interfaces are key to understand the physics of matter. In our latest preprint we study the dynamical signatures of the interface roughening transition in the 2D quantum Ising model:
doi.org/10.48550/arX...
Readily accessible in Rydberg atomic systems.

16.12.2024 08:00 👍 5 🔁 0 💬 0 📌 0
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Hi Bluesky! I'd like to begin my journey in this platform by advertising this school I am currently co-organizing:

The Winter School on Ultracold Quantum Many-body Systems ❄️⚛️ (16-22 Feb 2025) is open for registration! The school will take place at the Centro de Ciencias de Benasque Pedro Pascual🏔️.

25.11.2024 16:10 👍 25 🔁 12 💬 3 📌 0
Max Planck Institute for the Physics of Complex Systems Machine Learning for Quantum Matter

We are organizing a workshop on ML for quantum matter in Dresden in February 2025. The application deadline is Nov. 30, apply! www.pks.mpg.de/mlqmat25

27.11.2024 12:44 👍 16 🔁 5 💬 0 📌 0
Subsystem Evolution Speed as Indicator of Relaxation In studying the time evolution of isolated many-body quantum systems, a key focus is determining whether the system undergoes relaxation and reaches a steady state at a given point in time. Traditiona...

Subsystem Evolution Speed as Indicator of Relaxation

New method to probe relaxation in quantum matter. No need to have a priori knowledge about relaxed steady state, just need to calculate how fast reduced density matrices evolve in time:

doi.org/10.48550/arX...

31.10.2024 16:40 👍 1 🔁 0 💬 0 📌 0

Thanks!

29.10.2024 06:41 👍 0 🔁 0 💬 0 📌 0
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Learning effective Hamiltonians for adaptive time-evolution quantum algorithms Digital quantum simulation of many-body dynamics relies on Trotterization to decompose the target time evolution into elementary quantum gates operating at a fixed equidistant time discretization. Rec...

Thanks! Here we are indeed studying just expectation values of local operators, which might not necessarily mean that the quantum state at a more general level is also accurate. We've addressed this in a follow-up here:
arxiv.org/abs/2406.06198
So it seems that we get the full wave function right.

29.10.2024 06:39 👍 0 🔁 0 💬 0 📌 0
Adaptive Trotterization for Time-Dependent Hamiltonian Quantum Dynamics Using Piecewise Conservation Laws Digital quantum simulation relies on Trotterization to discretize time evolution into elementary quantum gates. On current quantum processors with notable gate imperfections, there is a critical trade...

Adaptive Trotterization for Time-Dependent Hamiltonian Quantum Dynamics

We introduce an adaptive Trotterization algorithm for simulating time-dependent Hamiltonians on quantum computers, using piecewise conserved quantities to control & estimate errors. Read our PRL here:

doi.org/10.1103/Phys...

28.10.2024 15:57 👍 1 🔁 0 💬 1 📌 0
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Empowering deep neural quantum states through efficient optimization - Nature Physics An optimization algorithm reduces the cost of training large-scale neural quantum states. This leads to accurate computations of the ground states of frustrated magnets and provides evidence of gaples...

Empowering deep neural quantum states through efficient optimization

Deep learning for quantum matter. Our new algorithm enables the training of massive neural networks in order to solve the quantum many-body problem with unprecedented accuracy.

doi.org/10.1038/s415...

23.10.2024 07:02 👍 3 🔁 0 💬 1 📌 0
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Wave-Function Network Description and Kolmogorov Complexity of Quantum Many-Body Systems A network-theory-based framework for describing quantum mechanical wave functions enables the discovery of a very deep inner structure---that of a scale-free network.

Wave-Function Network Description and Kolmogorov Complexity of Quantum Many-Body Systems

Wave-function networks can become scale-free as we show for theoretical data obtained through neural quantum states and experimental data from a Rydberg quantum simulator:

journals.aps.org/prx/abstract...

14.06.2024 10:16 👍 3 🔁 0 💬 0 📌 0
Vortex loop dynamics and dynamical quantum phase transitions in three-dimensional fermion matter Over the past decade, dynamical quantum phase transitions (DQPTs) have emerged as a paradigm shift in understanding nonequilibrium quantum many-body systems. However, the challenge lies in identifying...

Vortex loop dynamics and dynamical quantum phase transitions

During nonequilibrium dynamics vortices can form in the phase of the Green's function. In this work we show that these vortices form topological structures in the form of loops:

doi.org/10.1103/Phys...

25.04.2024 15:41 👍 1 🔁 0 💬 0 📌 0

The fission of a string is an astounding phenomenon in confining gauge theories. It has been observed that the dynamics of such string breaking can either be fast or very slow. We put forward a dynamical localization transition as the underlying mechanism:
journals.aps.org/prl/abstract...

31.01.2024 08:48 👍 1 🔁 0 💬 0 📌 0