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20172024
most citedEigenstate thermalization hypothesis beyond standard indicators: Emergence of random-matrix behavior at small frequencies

90 citations · 784 across the 34 of their papers we have counts for

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29 papers · 1 filter

cond-mat.stat-mech2024★ 3 cited

Transport and integrability-breaking in non-Hermitian many-body quantum systems

Dylan E. Mahoney, Jonas Richter

Describing open quantum systems in terms of effective non-Hermitian Hamiltonians gives rise to non-unitary time evolution. In this paper, we study the impact of non-unitary dynamic…

cond-mat.stat-mech2024★ 3 cited

Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin-1/2 chains with different boundary conditions

Markus Kraft, Jonas Richter, Fengping Jin +6

We investigate the Lindblad equation in the context of boundary-driven magnetization transport in spin- chains. Our central question is whether the nonequilibrium steady state…

cond-mat.stat-mech2023★ 11 cited

Emergence of unitary symmetry of microcanonically truncated operators in chaotic quantum systems

Jiaozi Wang, Jonas Richter, Mats H. Lamann +3

We study statistical properties of matrix elements of observables written in the energy eigenbasis and truncated to small microcanonical windows. We present numerical evidence indi…

cond-mat.stat-mech2023★ 21 cited

Hydrodynamics in long-range interacting systems with center-of-mass conservation

Alan Morningstar, Nicholas O'Dea, Jonas Richter

In systems with a conserved density, the additional conservation of the center of mass (dipole moment) has been shown to slow down the associated hydrodynamics. At the same time, l…

cond-mat.stat-mech2023★ 6 cited

Spin-1/2 XXZ chain coupled to two Lindblad baths: Constructing nonequilibrium steady states from equilibrium correlation functions

Tjark Heitmann, Jonas Richter, Fengping Jin +7

State-of-the-art approaches to extract transport coefficients of many-body quantum systems broadly fall into two categories: (i) they target the linear-response regime in terms of…

cond-mat.stat-mech2022★ 6 cited

Real-time broadening of bath-induced density profiles from closed-system correlation functions

Tjark Heitmann, Jonas Richter, Jacek Herbrych +2

The Lindblad master equation is one of the main approaches to open quantum systems. While it has been widely applied in the context of condensed matter systems to study properties…

cond-mat.stat-mech2022★ 6 cited

Spatiotemporal dynamics of classical and quantum density profiles in low-dimensional spin systems

Tjark Heitmann, Jonas Richter, Fengping Jin +3

We provide a detailed comparison between the dynamics of high-temperature spatiotemporal correlation functions in quantum and classical spin models. In the quantum case, our large-…

cond-mat.stat-mech2022★ 37 cited

Transport and entanglement growth in long-range random Clifford circuits

Jonas Richter, Oliver Lunt, Arijeet Pal

Conservation laws can constrain entanglement dynamics in isolated quantum systems, manifest in a slowdown of higher Rényi entropies. Here, we explore this phenomenon in a class of…

cond-mat.stat-mech2022★ 5 cited

Many-body localization and delocalization dynamics in the thermodynamic limit

Jonas Richter, Arijeet Pal

Disordered quantum systems undergoing a many-body localization (MBL) transition fail to reach thermal equilibrium under their own dynamics. Distinguishing between asymptotically lo…

cond-mat.stat-mech2021★ 66 cited

Eigenstate thermalization hypothesis and its deviations from random-matrix theory beyond the thermalization time

Jiaozi Wang, Mats H. Lamann, Jonas Richter +3

The Eigenstate Thermalization Hypothesis (ETH) explains emergence of the thermodynamic equilibrium by assuming a particular structure of observable's matrix elements in the energy…

cond-mat.stat-mech2021★ 70 cited

Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians

Jonas Richter, Arijeet Pal

Atypical eigenstates in the form of quantum scars and fragmentation of Hilbert space due to conservation laws provide obstructions to thermalization in the absence of disorder. In…

cond-mat.stat-mech2021★ 33 cited

Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices

Dennis Schubert, Jonas Richter, Fengping Jin +3

We present a comprehensive comparison of spin and energy dynamics in quantum and classical spin models on different geometries, ranging from one-dimensional chains, over quasi-one-…

cond-mat.stat-mech2021★ 26 cited

Quantum scars and bulk coherence in a symmetry-protected topological phase

Jared Jeyaretnam, Jonas Richter, Arijeet Pal

Formation of quantum scars in many-body systems provides a novel mechanism for enhancing coherence of weakly entangled states. At the same time, coherence of edge modes in certain…

cond-mat.stat-mech2021★ 4 cited

Nontrivial damping of quantum many-body dynamics

Tjark Heitmann, Jonas Richter, Jochen Gemmer +1

Understanding how the dynamics of a given quantum system with many degrees of freedom is altered by the presence of a generic perturbation is a notoriously difficult question. Rece…

cond-mat.stat-mech2020★ 50 cited

Simulating hydrodynamics on noisy intermediate-scale quantum devices with random circuits

Jonas Richter, Arijeet Pal

In a recent milestone experiment, Google's processor Sycamore heralded the era of "quantum supremacy" by sampling from the output of (pseudo-)random circuits. We show that such ran…

cond-mat.stat-mech2020★ 90 cited

Eigenstate thermalization hypothesis beyond standard indicators: Emergence of random-matrix behavior at small frequencies

Jonas Richter, Anatoly Dymarsky, Robin Steinigeweg +1

Using numerical exact diagonalization, we study matrix elements of a local spin operator in the eigenbasis of two different nonintegrable quantum spin chains. Our emphasis is on th…

cond-mat.stat-mech2020★ 19 cited

Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters

Jonas Richter, Tjark Heitmann, Robin Steinigeweg

We study quantum quenches in the transverse-field Ising model defined on different lattice geometries such as chains, two- and three-leg ladders, and two-dimensional square lattice…

cond-mat.stat-mech2020★ 9 cited

Temporal relaxation of gapped many-body quantum systems

Peter Reimann, Ben N. Balz, Jonas Richter +1

Typicality of the orthogonal dynamics (TOD) is established as a generic feature of temporal relaxation processes in isolated many-body quantum systems. The basic idea in the simple…

cond-mat.stat-mech2020★ 7 cited

Finite-size scaling of typicality-based estimates

J. Schnack, J. Richter, T. Heitmann +1

According to the concept of typicality, an ensemble average can be accurately approximated by an expectation value with respect to a single pure state drawn at random from a high-d…

cond-mat.stat-mech2020★ 41 cited

Selected applications of typicality to real-time dynamics of quantum many-body systems

Tjark Heitmann, Jonas Richter, Dennis Schubert +1

Loosely speaking, the concept of quantum typicality refers to the fact that a single pure state can imitate the full statistical ensemble. This fact has given rise to a rather simp…

cond-mat.stat-mech2019★ 22 cited

Decay of spin-spin correlations in disordered quantum and classical spin chains

Jonas Richter, Dennis Schubert, Robin Steinigeweg

The real-time dynamics of equal-site correlation functions is studied for one-dimensional spin models with quenched disorder. Focusing on infinite temperature, we present a compari…

cond-mat.stat-mech2019★ 21 cited

Magnetization dynamics in clean and disordered spin-1 XXZ chains

Jonas Richter, Niklas Casper, Wolfram Brenig +1

We study spin transport in the one-dimensional anisotropic S = 1 Heisenberg model. Particular emphasis is given to dynamics at infinite temperature, where current autocorrelations…

cond-mat.stat-mech2019★ 25 cited

Exponential damping induced by random and realistic perturbations

Jonas Richter, Fengping Jin, Lars Knipschild +4

Given a quantum many-body system and the expectation-value dynamics of some operator, we study how this reference dynamics is altered due to a perturbation of the system's Hamilton…

cond-mat.stat-mech2019★ 6 cited

Relaxation of dynamically prepared out-of-equilibrium initial states within and beyond linear response theory

Jonas Richter, Mats H. Lamann, Christian Bartsch +2

We consider a realistic nonequilibrium protocol, where a quantum system in thermal equilibrium is suddenly subjected to an external force. Due to this force, the system is driven o…