133 citations · 616 across the 28 of their papers we have counts for
28 papers
Emergent Non-Markovian Nonlinear Qubit From Collective Spin Interactions
Gregory T. Carroll, Michael R. Geller, Andre Erpenbeck
Open-system descriptions are typically introduced by coupling a quantum system to an external environment. Here we show that a closed interacting many-body system can itself genera…
Validity and Limits of Low Order Hybridization Expansion Approaches for Multi-Orbital Systems
Dolev Goldberger, Ido Zemach, Lei Zhang +4
Low-order hybridization expansion methods such as the non-crossing approximation (NCA) and the one-crossing approximation (OCA) are widely used impurity solvers in the study of str…
Compact representation and long-time extrapolation of real-time data for quantum systems using the ESPRIT algorithm
Andre Erpenbeck, Yuanran Zhu, Yang Yu +6
Representing real-time data as a sum of complex exponentials provides a compact form that enables both denoising and extrapolation. As a fully data-driven method, the Estimation of…
Minimal pole representation for spectral functions
Lei Zhang, André Erpenbeck, Yang Yu +1
Representing spectral densities, real-frequency, and real-time Green's functions of continuous systems by a small discrete set of complex poles is an ubiquitous problem in condense…
Inchworm tensor train hybridization expansion quantum impurity solver
Yang Yu, André Erpenbeck, Dominika Zgid +3
The investigation of quantum impurity models plays a crucial role in condensed matter physics because of their wide-ranging applications, such as embedding theories and transport p…
Nonequilibrium Steady State Full Counting Statistics in the Noncrossing Approximation
Ido Zemach, Andre Erpenbeck, Emanuel Gull +1
Quantum transport is often characterized not just by mean observables like the particle or energy current, but by their fluctuations and higher moments, which can act as detailed p…
Steady-state properties of multi-orbital systems using quantum Monte Carlo
Andre Erpenbeck, Thomas Blommel, Lei Zhang +3
A precise dynamical characterization of quantum impurity models with multiple interacting orbitals is challenging. In quantum Monte Carlo methods, this is embodied by sign problems…
Numerically exact simulation of photo-doped Mott insulators
Fabian Künzel, André Erpenbeck, Daniel Werner +4
A description of long-lived photo-doped states in Mott insulators is challenging, as it needs to address exponentially separated timescales. We demonstrate how properties of such s…
Stark-Many body localization in interacting infinite dimensional systems
Hristiana Atanasova, André Erpenbeck, Emanuel Gull +2
We study bulk particle transport in a Fermi-Hubbard model on an infinite-dimensional Bethe lattice, driven by a constant electric field. Previous numerical studies showed that one…
Shaping electronic flows with strongly correlated physics
A. Erpenbeck, E. Gull, G. Cohen
Nonequilibrium quantum transport is of central importance in nanotechnology. Its description requires the understanding of strong electronic correlations, which couple atomic-scale…
A Tensor Train Continuous Time Solver for Quantum Impurity Models
A. Erpenbeck, W. -T. Lin, T. Blommel +8
The simulation of strongly correlated quantum impurity models is a significant challenge in modern condensed matter physics that has multiple important applications. Thus far, the…
How an electrical current can stabilize a molecular nanojunction
André Erpenbeck, Yaling Ke, Uri Peskin +1
The stability of molecular junctions under transport is of the utmost importance for the field of molecular electronics. This question is often addressed within the paradigm of cur…
Quantum Monte Carlo in the steady-state
André Erpenbeck, Emanuel Gull, Guy Cohen
We present a numerically exact steady-state inchworm Monte Carlo method for nonequilibrium quantum impurity models. Rather than propagating an initial state to long times, the meth…
Nonequilibrium reaction rate theory: Formulation and implementation within the hierarchical equations of motion approach
Yaling Ke, Christoph Kaspar, André Erpenbeck +2
The study of chemical reactions in environments under nonequilibrium conditions has been of interest recently in a variety of contexts, including current-induced reactions in molec…
Nonadiabatic vibronic effects in single-molecule junctions: A theoretical study using the hierarchical equations of motion approach
Christoph Kaspar, André Erpenbeck, Jakob Bätge +2
The interaction between electronic and vibrational degrees of freedom is an important mechanism in nonequilibrium charge transport through molecular nanojunctions. While adiabatic…
Unraveling current-induced dissociation mechanisms in single-molecule junctions
Yaling Ke, André Erpenbeck, Uri Peskin +1
Understanding current-induced bond rupture in single-molecule junctions is both of fundamental interest and a prerequisite for the design of molecular junctions, which are stable a…
Resolving the nonequilibrium Kondo singlet in energy- and position-space using quantum measurements
André Erpenbeck, Guy Cohen
The Kondo effect, a hallmark of strong correlation physics, is characterized by the formation of an extended cloud of singlet states around magnetic impurities at low temperatures.…
Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
André Erpenbeck, Emanuel Gull, Guy Cohen
We present a method for calculating the full counting statistics of a nonequilibrium quantum system based on the propagator noncrossing approximation (NCA). This numerically inexpe…
Current-induced dissociation in molecular junctions beyond the paradigm of vibrational heating: The role of anti-bonding electronic states
André Erpenbeck, Yaling Ke, Uri Peskin +1
The interaction between electronic and nuclear degrees of freedom in single-molecule junctions is an essential mechanism, which may result in the current-induced rupture of chemica…
Thermoelectricity of near-resonant tunnel junctions and their near-Carnot efficiency
Matthias A. Popp, André Erpenbeck, Heiko B. Weber
The resonant tunneling model is the simplest model for describing electronic transport through nanoscale objects like individual molecules. A complete understanding includes not on…
Sparsity through evolutionary pruning prevents neuronal networks from overfitting
Richard C. Gerum, André Erpenbeck, Patrick Krauss +1
Modern Machine learning techniques take advantage of the exponentially rising calculation power in new generation processor units. Thus, the number of parameters which are trained…
Hierarchical quantum master equation approach to vibronic reaction dynamics at metal surfaces
A. Erpenbeck, M. Thoss
A novel quantum dynamical method to simulate vibronic reaction dynamics in molecules at metal surfaces is proposed. The method is based on the hierarchical quantum master equation…
Extending the hierarchical quantum master equation approach to low temperatures and realistic band structures
Andre Erpenbeck, Christian Hertlein, Christian Schinabeck +1
The hierarchical quantum master equation (HQME) approach is an accurate method to describe quantum transport in interacting nanosystems. It generalizes perturbative master equation…
Hierarchical quantum master equation approach to charge transport in molecular junctions with time-dependent molecule-lead coupling strengths
Andre Erpenbeck, Lukas Götzendörfer, Christian Schinabeck +1
Time-dependent currents in molecular junctions can be caused by structural fluctuations or interaction with external fields. In this publication, we demonstrate how the hierarchica…