236 citations · 1k across the 21 of their papers we have counts for
21 papers
Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
Sourav Nandy, Markus Schmitt, Marin Bukov +1
Reconstructing Hamiltonians from local measurements is key to enabling reliable quantum simulation: both validating the implemented model, and identifying any left-over terms with…
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…
Quantum many-body Jarzynski equality and dissipative noise on a digital quantum computer
Dominik Hahn, Maxime Dupont, Markus Schmitt +2
The quantum Jarzynski equality and the Crooks relation are fundamental laws connecting equilibrium processes with nonequilibrium fluctuations. They are promising tools to benchmark…
jVMC: Versatile and performant variational Monte Carlo leveraging automated differentiation and GPU acceleration
Markus Schmitt, Moritz Reh
The introduction of Neural Quantum States (NQS) has recently given a new twist to variational Monte Carlo (VMC). The ability to systematically reduce the bias of the wave function…
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…
Time-dependent variational principle for open quantum systems with artificial neural networks
Moritz Reh, Markus Schmitt, Martin Gärttner
We develop a variational approach to simulating the dynamics of open quantum many-body systems using deep autoregressive neural networks. The parameters of a compressed representat…
From observations to complexity of quantum states via unsupervised learning
Markus Schmitt, Zala Lenarčič
The vast complexity is a daunting property of generic quantum states that poses a significant challenge for theoretical treatment, especially in non-equilibrium setups. Therefore,…
Learning the ground state of a non-stoquastic quantum Hamiltonian in a rugged neural network landscape
Marin Bukov, Markus Schmitt, Maxime Dupont
Strongly interacting quantum systems described by non-stoquastic Hamiltonians exhibit rich low-temperature physics. Yet, their study poses a formidable challenge, even for state-of…
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…
Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench
Reyhaneh Khasseh, Angelo Russomanno, Markus Schmitt +2
By means of the discrete truncated Wigner approximation we study dynamical phase transitions arising in the steady state of transverse-field Ising models after a quantum quench. St…
Disorder-free localization in an interacting two-dimensional lattice gauge theory
P. Karpov, R. Verdel, Y. -P. Huang +2
Disorder-free localization has been recently introduced as a mechanism for ergodicity breaking in low-dimensional homogeneous lattice gauge theories caused by local constraints imp…
Quantum many-body dynamics in two dimensions with artificial neural networks
Markus Schmitt, Markus Heyl
The efficient numerical simulation of nonequilibrium real-time evolution in isolated quantum matter constitutes a key challenge for current computational methods. This holds in par…
Measuring complex partition function zeroes of Ising models in quantum simulators
Abijith Krishnan, Markus Schmitt, Roderich Moessner +1
Studying the zeroes of partition functions in the space of complex control parameters allows to understand formally how critical behavior of a many-body system can arise in the the…
Tripartite information, scrambling, and the role of Hilbert space partitioning in quantum lattice models
Oskar Schnaack, Niklas Bölter, Sebastian Paeckel +3
For the characterization of the dynamics in quantum many-body systems the question how information spreads and becomes distributed over the constituent degrees of freedom is of fun…
Semiclassical echo dynamics in the Sachdev-Ye-Kitaev model
Markus Schmitt, Dries Sels, Stefan Kehrein +1
The existence of a quantum butterfly effect in the form of exponential sensitivity to small perturbations has been under debate for a long time. Lately, this question gained increa…
Irreversible dynamics in quantum many-body systems
Markus Schmitt, Stefan Kehrein
Irreversibility, despite being a necessary condition for thermalization, still lacks a sound understanding in the context of isolated quantum many-body systems. In this work we app…
Quantum dynamics in transverse-field Ising models from classical networks
Markus Schmitt, Markus Heyl
The efficient representation of quantum many-body states with classical resources is a key challenge in quantum many-body theory. In this work we analytically construct classical n…
Universal non-analytic behavior of the non-equilibrium Hall conductance in Floquet topological insulators
Markus Schmitt, Pei Wang
We study the Hall conductance in a Floquet topological insulator in the long time limit after sudden switches of the driving amplitude. Based on a high frequency expansion of the e…
Effective time reversal and echo dynamics in the transverse field Ising model
Markus Schmitt, Stefan Kehrein
The question of thermalisation in closed quantum many-body systems has received a lot of attention in the past few years. An intimately related question is whether a closed quantum…
Universal nonanalytic behavior of the Hall conductance in a Chern insulator at the topologically driven nonequilibrium phase transition
Pei Wang, Markus Schmitt, Stefan Kehrein
We study the Hall conductance of a Chern insulator after a global quench of the Hamiltonian. The Hall conductance in the long time limit is obtained by applying the linear response…
Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
Markus Schmitt, Stefan Kehrein
The notion of a dynamical quantum phase transition (DQPT) was recently introduced in [Heyl et al., Phys. Rev. Lett. 110, 135704 (2013)] as the non-analytic behavior of the Loschmid…