Heyl Group

@heylgroup.bsky.social

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

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...

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...

doi.org

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...

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...

doi.org

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...

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...

doi.org

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...

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...

doi.org

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.

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 ...

doi.org

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

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...

arxiv.org

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...

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...

doi.org

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...

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...

doi.org

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...

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...

doi.org

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...

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 ...

doi.org

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...

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 ...

doi.org

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.

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...

doi.org

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🏔️.

Bild

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...

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...

doi.org

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...

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...

doi.org