925 citations · 9.1k across the 90 of their papers we have counts for
90 papers
Quantum hard disks on a lattice
Vighnesh Dattatraya Naik, Fabian Ballar Trigueros, Markus Heyl
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 uniq…
Simplicity of mean-field theories in neural quantum states
Fabian Ballar Trigueros, Tiago Mendes-Santos, Markus Heyl
The utilization of artificial neural networks for representing quantum many-body wave functions has garnered significant attention, with enormous recent progress for both ground st…
Active quantum flocks
Reyhaneh Khasseh, Sascha Wald, Roderich Moessner +2
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…
Vortex loop dynamics and dynamical quantum phase transitions in 3D fermion matter
Arkadiusz Kosior, Markus Heyl
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…
Dynamical localization transition of string breaking in quantum spin chains
Roberto Verdel, Guo-Yi Zhu, Markus Heyl
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,…
Highly resolved spectral functions of two-dimensional systems with neural quantum states
Tiago Mendes-Santos, Markus Schmitt, Markus Heyl
Spectral functions are central to link experimental probes to theoretical models in condensed matter physics. However, performing exact numerical calculations for interacting quant…
Empowering deep neural quantum states through efficient optimization
Ao Chen, Markus Heyl
Computing the ground state of interacting quantum matter is a long-standing challenge, especially for complex two-dimensional systems. Recent developments have highlighted the pote…
Identifying quantum many-body integrability and chaos using eigenstates trace distances
Reyhaneh Khasseh, Jiaju Zhang, Markus Heyl +1
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…
Spectral response of disorder-free localized lattice gauge theories
Nilotpal Chakraborty, Markus Heyl, Petr Karpov +1
We show that certain lattice gauge theories exhibiting disorder-free localization have a characteristic response in spatially averaged spectral functions: a few sharp peaks combine…
Anomalous relaxation of density waves in a ring-exchange system
Pranay Patil, Markus Heyl, Fabien Alet
We present the analysis of the slowing down exhibited by stochastic dynamics of a ring-exchange model on a square lattice, by means of numerical simulations. We find the preservati…
Making Trotterization adaptive and energy-self-correcting for NISQ devices and beyond
Hongzheng Zhao, Marin Bukov, Markus Heyl +1
Simulation of continuous time evolution requires time discretization on both classical and quantum computers. A finer time step improves simulation precision, but it inevitably lea…
Disorder-free localization transition in a two-dimensional lattice gauge theory
Nilotpal Chakraborty, Markus Heyl, Petr Karpov +1
Disorder-free localization is a novel mechanism for ergodicity breaking which can occur in interacting quantum many-body systems such as lattice gauge theories (LGTs). While the na…
Quantum Chaos and Universal Trotterisation Behaviours in Digital Quantum Simulations
Cahit Kargi, Angsar Manatuly, Lukas M. Sieberer +7
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 d…
Fate of Algebraic Many-Body Localization under driving
Heiko Burau, Markus Heyl, Giuseppe De Tomasi
In this work we investigate the stability of an algebraically localized phase subject to periodic driving. First, we focus on a non-interacting model exhibiting algebraically local…
Spatio-temporal heterogeneity of entanglement in many-body localized systems
Claudia Artiaco, Federico Balducci, Markus Heyl +2
We propose a spatio-temporal characterization of the entanglement dynamics in many-body localized (MBL) systems, which exhibits a striking resemblance with dynamical heterogeneity…
Real-time dynamics of 1D and 2D bosonic quantum matter deep in the many-body localized phase
Sun Woo Kim, Giuseppe De Tomasi, Markus Heyl
Recent experiments in quantum simulators have provided evidence for the Many-Body Localized (MBL) phase in 1D and 2D bosonic quantum matter. The theoretical study of such bosonic M…
Quantum phase transition dynamics in the two-dimensional transverse-field Ising model
Markus Schmitt, Marek M. Rams, Jacek Dziarmaga +2
The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near the quantum phase transitions (QPTs). It is now well understood for the one-dimensional quantum…
Quantum chaos and ensemble inequivalence of quantum long-range Ising chains
Angelo Russomanno, Michele Fava, Markus Heyl
We use large-scale exact diagonalization to study the quantum Ising chain in a transverse field with long-range power-law interactions decaying with exponent . We numerically st…
Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
Guo-Yi Zhu, Markus Heyl
Disorder-free localization has recently emerged as a mechanism for ergodicity breaking in homogeneous lattice gauge theories. In this work we show that this mechanism can lead to u…
Local measures of dynamical quantum phase transitions
Jad C. Halimeh, Daniele Trapin, Maarten Van Damme +1
In recent years, dynamical quantum phase transitions (DQPTs) have emerged as a useful theoretical concept to characterize nonequilibrium states of quantum matter. DQPTs are marked…
Unitary long-time evolution with quantum renormalization groups and artificial neural networks
Heiko Burau, Markus Heyl
In this work we combine quantum renormalization group approaches with deep artificial neural networks for the description of the real-time evolution in strongly disordered quantum…
Variational classical networks for dynamics in interacting quantum matter
Roberto Verdel, Markus Schmitt, Yi-Ping Huang +2
Dynamics in correlated quantum matter is a hard problem, as its exact solution generally involves a computational effort that grows exponentially with the number of constituents. W…
Quantum entanglement recognition
Jun Yong Khoo, Markus Heyl
Entanglement constitutes a key characteristic feature of quantum matter. Its detection, however, still faces major challenges. In this letter, we formulate a framework for probing…
Reinforcement Learning for Digital Quantum Simulation
Adrien Bolens, Markus Heyl
Digital quantum simulation is a promising application for quantum computers. Their free programmability provides the potential to simulate the unitary evolution of any many-body Ha…