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Heyl Group

@heylgroup.bsky.social
238 followers 100 following 34 posts

Quantum theory. Account of my research group at the University of Augsburg: www.uni-augsburg.de/en/fakultaet/mn…

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Heyl Group @heylgroup.bsky.social · 23/09/2026
Motility-induced phase separation (MIPS) goes quantum. In the quantum world the interplay of quantum coherence and activity can generate new types of nonequilibrium quantum states: arxiv.org/abs/2608.25649
arxiv.org
Quantum motility-induced phase separation
Motility-induced phase separation (MIPS) describes a central clustering phenomenon in active matter systems where particles spontaneously separate into dense and dilute phases even in the absence of i...
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Heyl Group @heylgroup.bsky.social · 25/08/2026
Subdiffusion - without any disorder. We show that a single defect can display tunable subdiffusion in homogeneous 2D ice- and dimer-type models, driven purely by local constraints emerging from gauge invariance: journals.aps.org/prresearch/a...
journals.aps.org
Fractional diffusion without disorder in two dimensions
We analyze how simple local constraints in two dimensions lead a defect to exhibit robust, nontransient, and tunable subdiffusion. We uncover a rich dynamical phenomenology realized in ice- and dimer-...
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Heyl Group @heylgroup.bsky.social · 29/06/2026
New transformer architecture for neural quantum states Our convolutional transformer wave function (CTWF) outperforms previous approaches in ground-state search and non-equilibrium dynamics, demonstrating high capacity for complex quantum problems: doi.org/10.1103/7xwp...
doi.org
Convolutional transformer wave functions
A new study introduces the convolutional transformer wave function, an architecture that, unlike earlier transformer-based approaches, properly harnesses the attention mechanism while respecting the s...
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Heyl Group @heylgroup.bsky.social · 25/06/2026
Neural quantum states can make discoveries. We find a (to the best of our knowledge) novel universal dynamical regime far from equilibrium after a symmetry-breaking quench at criticality, indicating the existence of a new dynamical critical exponent: doi.org/10.48550/arX...
doi.org
Universal Symmetry-Breaking Dynamics at Continuous Phase Transitions: Evidence for a New Dynamical Critical Exponent
Uncovering and understanding universal dynamics in matter far from equilibrium remains a key challenge. In this work, we identify a so far unrecognized form of universal behavior that emerges after a ...
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Heyl Group @heylgroup.bsky.social · 11/06/2026
We show that tailored deep neural architectures combined with suitable annealing schedules can solve accurately classical and quantum spin glasses with up to hundreds of spins: doi.org/10.48550/arX...
doi.org
Solving Classical and Quantum Spin Glasses with Deep Boltzmann Quantum States
Variational neural network models have achieved remarkable success in solving ground-state problems of quantum many-body systems. However, addressing classical and quantum spin glasses remains challen...
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Heyl Group @heylgroup.bsky.social · 22/04/2026
Nonergodic quantum matter challenges foundations of statistical physics opening paths to novel phases. Many-body cages provide an emerging general route, and we now show how Floquet circuits can host such cages with the potential to realize even time-crystalline order: doi.org/10.48550/arX...
doi.org
Floquet Many-Body Cages
Many-body cages have very recently emerged as a general route for nonergodic behaviour in quantum matter. Here, we show that new types of many-body cages can be engineered in Floquet circuits with the...
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Heyl Group @heylgroup.bsky.social · 14/04/2026
In our new paper we show that Neural Quantum States act as a scalable framework for solving 3D quantum dynamics, achieving real-time simulations on up to 1000 qubits. Our work includes the first large-scale numerical demonstration of the 3D quantum Kibble-Zurek mechanism. doi.org/10.48550/arX...
doi.org
Real-time Dynamics in 3D for up to 1000 Qubits with Neural Quantum States: Quenches and the Quantum Kibble--Zurek Mechanism
Exponential complexity of many-body wave functions limits accurate numerical simulations of real-time dynamics, especially beyond 1D, where rapid entanglement growth poses severe challenges. Neural Qu...
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Heyl Group @heylgroup.bsky.social · 14/04/2026
In our new paper we show that quantum circuits can learn long-range ordered states that are impossible in equilibrium. Our variational circuits generate symmetry-broken and topological states with unique properties: doi.org/10.48550/arX...
doi.org
Quantum Circuits as a Dynamical Resource to Learn Nonequilibrium Long-Range Order
Equilibrium statistical ensembles impose stringent constraints on phases of quantum matter. For example, the Mermin-Wagner theorem prohibits long-range order in low-dimensional systems beyond the grou...
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Heyl Group @heylgroup.bsky.social · 10/02/2026
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_...
for5919.github.io
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 – ...
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Heyl Group @heylgroup.bsky.social · 13/01/2026
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...
doi.org
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...
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Heyl Group @heylgroup.bsky.social · 15/12/2025
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.
doi.org
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 ...
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Florian Marquardt @fmarquardtgroup.fediscience.org.ap.brid.gy · 03/10/2025
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]
Stylized image of a head containing a neural network, overlaying a gallery of images from scientific exploration (plots of curves and wave fields).
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Zoe Holmes @qzoeholmes.bsky.social · 24/07/2025
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.
epfl.ch
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...
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Max-Planck-Gesellschaft @maxplanck.de · 09/09/2025
Springboard for an international scientific career! 🧬🧪🔭⚛️🧠🌱 Call for #MaxPlanckResearchGroups launched; applications are possible until October 14, 2025 www.mpg.de/max-planck-r... #ScienceCareer
Call for Applications / Ausschreibung
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Max-Planck-Gesellschaft @maxplanck.de · 01/09/2025
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...
Group photo of postdocs conducting research at a Max Planck Institute
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Kavli Institute for Theoretical Physics @kitp-ucsb.bsky.social · 27/06/2025
New KITP Program! #AIQMATTER26 AI for Quantum Matter Dates: 7/27/2026 - 10/8/2026 buff.ly/N7hkYC3
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Heyl Group @heylgroup.bsky.social · 20/06/2025
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.
link.aps.org
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...
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Heyl Group @heylgroup.bsky.social · 04/06/2025
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.
arxiv.org
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...
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Mario Krenn @mariokrenn.bsky.social · 28/05/2025
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...
mariokrenn.wordpress.com
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Heyl Group @heylgroup.bsky.social · 18/04/2025
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
arxiv.org
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...
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Heyl Group @heylgroup.bsky.social · 02/04/2025
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...
doi.org
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...
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Heyl Group @heylgroup.bsky.social · 20/03/2025
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...
doi.org
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...
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Heyl Group @heylgroup.bsky.social · 19/03/2025
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...
doi.org
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...
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Heyl Group @heylgroup.bsky.social · 14/03/2025
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...
doi.org
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...
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Heyl Group @heylgroup.bsky.social · 29/01/2025
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...
doi.org
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 ...
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Heyl Group @heylgroup.bsky.social · 16/01/2025
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...
doi.org
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 ...
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Ferlaino Group @ferlainogroup.bsky.social · 13/01/2025
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!
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Heyl Group @heylgroup.bsky.social · 16/12/2024
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.
doi.org
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...
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Toni Rubio Abadal @tonirb.bsky.social · 25/11/2024
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🏔️.
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Juan Felipe Carrasquilla Alvarez @carrasqu.bsky.social · 27/11/2024
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
pks.mpg.de
Max Planck Institute for the Physics of Complex Systems Machine Learning for Quantum Matter
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Heyl Group @heylgroup.bsky.social · 31/10/2024
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...
doi.org
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...
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Heyl Group @heylgroup.bsky.social · 28/10/2024
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...
doi.org
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...
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Heyl Group @heylgroup.bsky.social · 23/10/2024
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...
doi.org
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...
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Heyl Group @heylgroup.bsky.social · 14/06/2024
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...
journals.aps.org
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.
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Heyl Group @heylgroup.bsky.social · 25/04/2024
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...
doi.org
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...
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Heyl Group @heylgroup.bsky.social · 31/01/2024
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...
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Heyl Group @heylgroup.bsky.social · 29/12/2023
School and Conference on Frontiers at the Intersection of Quantum Simulation and Machine Learning Where: ICTP Trieste, Italy When: April 8 to 19 2024. More info and registration: indico.ictp.it/event/10466/ Deadline for applications is March 8.
indico.ictp.it
Joint ICTP-WE Heraeus School and Conference on Frontiers at the Intersection of Quantum Simulation a...
The call for applications is open. Please click on 'Apply here' to submit your application. An ICTP - WE Heraeus Meeting The intersection of machine learning and quantum simulation is em...
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Heyl Group @heylgroup.bsky.social · 29/12/2023
Programmable quantum devices can today probe wave functions at unprecedented levels, by the ability to take individual "snapshots". Here, we introduce wave function networks generated by a large number of such snapshots, which, as we show, can become scale free: arxiv.org/abs/2301.13216
Image taken from https://arxiv.org/abs/2301.13216
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Heyl Group @heylgroup.bsky.social · 29/12/2023
Quantum hard disks Motivated by the recent impressive experimental progress in Rydberg atom arrays we introduce a quantum version of the paradigmatic hard disk problem on lattices, whose dynamics turn out to exhibit genuine quantum features such as quantum many-body scars: arxiv.org/abs/2311.16240
Image taken from https://arxiv.org/abs/2311.16240
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Heyl Group @heylgroup.bsky.social · 29/12/2023
Let me take the chance and introduce our research by summarizing some of our recent research output.
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Heyl Group @heylgroup.bsky.social · 29/12/2023
Hi there! This is the account of my research group at the University of Augsburg. I intend to post mostly about recent research highlights, but also some other announcements.
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