Markus Heyl
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View article: Quantum Chaos and Universal Trotterisation Behaviours in Digital Quantum Simulations
Quantum Chaos and Universal Trotterisation Behaviours in Digital Quantum Simulations Open
Digital quantum simulation (DQS) is one of the most promising paths for achieving first useful real-world applications for quantum processors. Yet even assuming rapid progress in device engineering and development of fault-tolerant quantum…
View article: Probing prethermal nonergodicity through measurement outcomes of monitored quantum dynamics
Probing prethermal nonergodicity through measurement outcomes of monitored quantum dynamics Open
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, can provide crucial information about th…
View article: Active Quantum Flocks
Active Quantum Flocks Open
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 one single entity. Here, we address the…
View article: Active Quantum Flocks
Active Quantum Flocks Open
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 one single entity. Here, we address the…
View article: Time evolution of the quantum Ising model in two dimensions using tree tensor networks
Time evolution of the quantum Ising model in two dimensions using tree tensor networks Open
The numerical simulation of two-dimensional quantum many-body systems away from equilibrium constitutes a major challenge for all known computational methods. We investigate the utility of tree tensor network (TTN) states to solve the dyna…
View article: Snapshot renormalization group for quantum matter
Snapshot renormalization group for quantum matter Open
Recent advances in quantum simulator experiments enable unprecedented access to quantum many-body states through snapshot measurements of individual many-body configurations. Here, we introduce an exact renormalization group (RG) transform…
View article: Simulating dynamics of correlated matter with neural quantum states
Simulating dynamics of correlated matter with neural quantum states Open
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 correlated quantum systems remains a pivotal cha…
View article: Roughening Dynamics of Interfaces in the Two-Dimensional Quantum Ising Model
Roughening Dynamics of Interfaces in the Two-Dimensional Quantum Ising Model Open
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 tensor network simulations to identify the d…
View article: Time evolution of the quantum Ising model in two dimensions using Tree Tensor Networks
Time evolution of the quantum Ising model in two dimensions using Tree Tensor Networks Open
The numerical simulation of two-dimensional quantum many-body systems away from equilibrium constitutes a major challenge for all known computational methods. We investigate the utility of Tree Tensor Network (TTN) states to solve the dyna…
View article: Many-body cages: disorder-free glassiness from flat bands in Fock space, and many-body Rabi oscillations
Many-body cages: disorder-free glassiness from flat bands in Fock space, and many-body Rabi oscillations Open
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-body Rabi oscillations in the time domain…
View article: Fractional diffusion without disorder in two dimensions
Fractional diffusion without disorder in two dimensions Open
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 dimer-type models. On the microscopic scale…
View article: Probing quantum many-body dynamics using subsystem Loschmidt echos
Probing quantum many-body dynamics using subsystem Loschmidt echos Open
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 across various scientific fields includ…
View article: Roughening dynamics of interfaces in the two-dimensional quantum Ising model
Roughening dynamics of interfaces in the two-dimensional quantum Ising model Open
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 Network simulations to identify the dyna…
View article: Subsystem Evolution Speed as Indicator of Relaxation
Subsystem Evolution Speed as Indicator of Relaxation Open
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. Traditional approaches often rely on specific loc…
View article: Adaptive Trotterization for Time-Dependent Hamiltonian Quantum Dynamics Using Piecewise Conservation Laws
Adaptive Trotterization for Time-Dependent Hamiltonian Quantum Dynamics Using Piecewise Conservation Laws Open
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-off between improved accuracy for fine…
View article: Spectrum and low-energy gap in triangular quantum spin liquid NaYbSe$_2$
Spectrum and low-energy gap in triangular quantum spin liquid NaYbSe$_2$ Open
We report neutron scattering, pressure-dependent AC calorimetry, and AC magnetic susceptibility measurements of triangular lattice NaYbSe$_2$. We observe a continuum of scattering, which is reproduced by matrix product simulations, and no …
View article: Learning effective Hamiltonians for adaptive time-evolution quantum algorithms
Learning effective Hamiltonians for adaptive time-evolution quantum algorithms Open
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. Recent advances have outlined protocols en…
View article: Simplicity of mean-field theories in neural quantum states
Simplicity of mean-field theories in neural quantum states Open
The utilization of artificial neural networks to represent quantum many-body wave functions has garnered significant attention, with enormous recent progress for both ground states and nonequilibrium dynamics. However, quantifying state co…
View article: Characterizing dynamical criticality of many-body localization transitions from the Fock-space perspective
Characterizing dynamical criticality of many-body localization transitions from the Fock-space perspective Open
Characterizing the nature of many-body localization transitions (MBLTs) and their potential critical behaviors has remained a challenging problem. In this work, we study the dynamics of the displacement, quantifying the spread of the radia…
View article: Wave-Function Network Description and Kolmogorov Complexity of Quantum Many-Body Systems
Wave-Function Network Description and Kolmogorov Complexity of Quantum Many-Body Systems Open
Programmable quantum devices are now able to probe wave functions at unprecedented levels. This is based on the ability to project the many-body state of atom and qubit arrays onto a measurement basis which produces snapshots of the system…
View article: Dynamical Localization Transition of String Breaking in Quantum Spin Chains
Dynamical Localization Transition of String Breaking in Quantum Spin Chains Open
The fission of a string connecting two charges is an astounding phenomenon in confining gauge theories. The dynamics of this process have been studied intensively in recent years, with plenty of numerical results yielding a dichotomy: the …
View article: Spectral Response of Disorder-Free Localized Lattice Gauge Theories
Spectral Response of Disorder-Free Localized Lattice Gauge Theories Open
We show that certain lattice gauge theories exhibiting disorder-free localization have a characteristic response in spatially averaged spectral functions: a few sharp peaks combined with vanishing response in the zero frequency limit. This…
View article: Quantum hard disks on a lattice
Quantum hard disks on a lattice Open
Data used in the figures of the paper to appear under the title "Quantum hard disks on a lattice". All the data is written in csv files.
View article: Quantum hard disks on a lattice
Quantum hard disks on a lattice Open
Data used in the figures of the paper to appear under the title "Quantum hard disks on a lattice". All the data is written in csv files.
View article: Quantum hard disks on a lattice
Quantum hard disks on a lattice Open
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 exihibit unique dynamical quantum features. In 1D, the crystal melting p…
View article: Identifying Quantum Many-Body Integrability and Chaos Using Eigenstate Trace Distances
Identifying Quantum Many-Body Integrability and Chaos Using Eigenstate Trace Distances Open
While the concepts of quantum many-body integrability and chaos are of fundamental importance for the understanding of quantum matter, their precise definition has so far remained an open question. In this Letter, we introduce an alternati…
View article: Mean-field theories are simple for neural quantum states
Mean-field theories are simple for neural quantum states Open
Data used in the figures of the paper to appear under the title "Mean-field theories are simple for neural quantum states". All the data is written in csv files.
View article: Mean-field theories are simple for neural quantum states
Mean-field theories are simple for neural quantum states Open
Data used in the figures of the paper to appear under the title "Mean-field theories are simple for neural quantum states". All the data is written in csv files.
View article: Simplicity of mean-field theories in neural quantum states
Simplicity of mean-field theories in neural quantum states Open
The utilization of artificial neural networks for representing quantum many-body wave functions has garnered significant attention, with enormous recent progress for both ground states and non-equilibrium dynamics. However, quantifying sta…