162 citations · 993 across the 32 of their papers we have counts for
26 papers · 1 filter
The ALPS project release 3.0: open source software for strongly correlated systems
F. Alet, T. Chen, A. Feiguin +16
We present release 3.0 of the ALPS (Algorithms and Libraries for Physics Simulations) project, an open-source software project to develop libraries and application programs for the…
Stabilizing the parquet problem
Herbert Eßl, Stefan Rohshap, Marcel Gievers +3
We systematically analyze the stability of the iterative solution of the parquet equations by studying the spectrum of the Jacobian associated with the commonly used damped fixed-p…
Entanglement across scales: Quantics tensor trains as a natural framework for renormalization
Stefan Rohshap, Jheng-Wei Li, Alena Lorenz +4
Understanding entanglement remains one of the most intriguing problems in physics. While particle and site entanglement have been studied extensively, the investigation of length o…
Diagnosing phase transitions through time-scale entanglement
Stefan Rohshap, Hirone Ishida, Frederic Bippus +5
Spatial entanglement of quantum states has become a central paradigm of many-body physics. Here, we unearth a fundamentally different form of entanglement, the entanglement between…
Next-generation EDIpack: A Lanczos-based package for quantum impurity models featuring general broken-symmetry phases, flexible bath topologies and multi-platform interoperability
Lorenzo Crippa, Igor Krivenko, Samuele Giuli +10
We present a next-generation version of EDIpack, a flexible, high-performance numerical library using Lanczos-based exact diagonalization to solve generic quantum impurity problems…
Two-particle calculations with quantics tensor trains: Solving the parquet equations
Stefan Rohshap, Marc K. Ritter, Hiroshi Shinaoka +3
We present the first application of quantics tensor trains (QTTs) and tensor cross interpolation (TCI) to the solution of a full set of self-consistent equations for multivariate f…
Overcomplete intermediate representation of two-particle Green's functions and its relation to partial spectral functions
Selina Dirnböck, Seung-Sup B. Lee, Fabian B. Kugler +4
Two-particle response functions are a centerpiece of both experimental and theoretical quantum many-body physics. Yet, due to their size and discontinuity structure, they are chall…
Aberration of the Green's function estimator in hybridization expansion continuous-time quantum Monte Carlo
Andreas Hausoel, Markus Wallerberger, Josef Kaufmann +2
We describe an aberration of the resampling estimator for the Green's function customarily used in hybridization expansion continuous-time quantum Monte Carlo. It occurs due to Pau…
Multiscale space-time ansatz for correlation functions of quantum systems based on quantics tensor trains
Hiroshi Shinaoka, Markus Wallerberger, Yuta Murakami +4
Correlation functions of quantum systems -- central objects in quantum field theories -- are defined in high-dimensional space-time domains. Their numerical treatment thus suffers…
Merging numerical renormalization group and intermediate representation to compactify two- and three-point correlators
Sebastian Huber, Markus Wallerberger, Paul Worm +1
The vanguard of many-body theory is nowadays dealing with the full frequency dynamics of n-point Green's functions for n higher than two. Numerically, these objects easily become a…
Trie-based ranking of quantum many-body states
Markus Wallerberger, Karsten Held
Ranking bit patterns -- finding the index of a given pattern in an ordered sequence -- is a major bottleneck scaling up numerical quantum many-body calculations, as fermionic and h…
Efficient ab initio many-body calculations based on sparse modeling of Matsubara Green's function
Hiroshi Shinaoka, Naoya Chikano, Emanuel Gull +6
This lecture note reviews recently proposed sparse-modeling approaches for efficient ab initio many-body calculations based on the data compression of Green's functions. The sparse…
Solving the Bethe-Salpeter equation with exponential convergence
Markus Wallerberger, Hiroshi Shinaoka, Anna Kauch
The Bethe-Salpeter equation plays a crucial role in understanding the physics of correlated fermions, relating to optical excitations in solids as well as resonances in high-energy…
Statistical error estimates in dynamical mean-field theory and extensions thereof
Patrick Kappl, Markus Wallerberger, Josef Kaufmann +2
We employ the jackknife algorithm to analyze the propagation of the statistical quantum Monte Carlo error through the Bethe--Salpeter equation. This allows us to estimate the error…
Diagrammatic Monte Carlo Method for Impurity Models with General Interactions and Hybridizations
Jia Li, Markus Wallerberger, Emanuel Gull
We present a diagrammatic Monte Carlo method for quantum impurity problems with general interactions and general hybridization functions. Our method uses a recursive determinant sc…
Sparse sampling and tensor network representation of two-particle Green's functions
Hiroshi Shinaoka, Dominique Geffroy, Markus Wallerberger +4
Many-body calculations at the two-particle level require a compact representation of two-particle Green's functions. In this paper, we introduce a sparse sampling scheme in the Mat…
Sparse sampling approach to efficient ab initio calculations at finite temperature
Jia Li, Markus Wallerberger, Naoya Chikano +3
Efficient ab initio calculations of correlated materials at finite temperature require compact representations of the Green's functions both in imaginary time and Matsubara frequen…
State- and superstate-sampling in hybridization-expansion continuous-time quantum Monte Carlo
Alexander Kowalski, Andreas Hausoel, Markus Wallerberger +2
Due to the intrinsic complexity of the quantum many-body problem, quantum Monte Carlo algorithms and their corresponding Monte Carlo configurations can be defined in various ways.…
Overcomplete compact representation of two-particle Green's functions
Hiroshi Shinaoka, Junya Otsuki, Kristjan Haule +4
Two-particle Green's functions and the vertex functions play a critical role in theoretical frameworks for describing strongly correlated electron systems. However, numerical calcu…
w2dynamics: Local one- and two-particle quantities from dynamical mean field theory
Markus Wallerberger, Andreas Hausoel, Patrik Gunacker +5
We describe the hybridization-expansion continuous-time quantum Monte Carlo code package "w2dynamics", developed in Wien and Würzburg. We discuss the main features of this multi-or…
Role of three-particle vertex within dual fermion calculations
T. Ribic, P. Gunacker, S. Iskakov +5
We investigate the influence of self-energy diagrams beyond the two-particle vertex level within dual fermion theory. Specifically, we calculate the local three-particle vertex and…
Mott-Hubbard transition in the mass-imbalanced Hubbard model
Marie-Therese Philipp, Markus Wallerberger, Patrik Gunacker +1
The mass-imbalanced Hubbard model represents a continuous evolution from the Hubbard to the Falicov-Kimball model. We employ dynamical mean field theory and study the paramagnetic…
Worm Improved Estimators in Continuous-time Quantum Monte Carlo
Patrik Gunacker, Markus Wallerberger, Tin Ribic +3
We derive the improved estimators for general interactions and employ these for the continuous-time quantum Monte Carlo method. Using a worm algorithm we show how measuring higher-…
Continuous-time Quantum Monte Carlo using Worm Sampling
Patrik Gunacker, Markus Wallerberger, Emanuel Gull +3
We present a worm sampling method for calculating one- and two-particle Green's functions using continuous-time quantum Monte Carlo simulations in the hybridization expansion (CT-H…