no code implementations • 18 Sep 2023 • Wiktor Jurasz, Christian B. Mendl

Generative models and in particular Generative Adversarial Networks (GANs) have become very popular and powerful data generation tool.

no code implementations • 22 Dec 2020 • Martin Knudsen, Christian B. Mendl

We explore how a continuous-variable (CV) quantum computer could solve a classic differential equation, making use of its innate capability to represent real numbers in qumodes.

Quantum Physics

no code implementations • 17 Dec 2020 • Benjamin Zanger, Christian B. Mendl, Martin Schulz, Martin Schreiber

Identifying computational tasks suitable for (future) quantum computers is an active field of research.

Quantum Physics

1 code implementation • 22 Nov 2020 • Christian B. Mendl, Herbert Spohn

We study the classical Toda lattice with domain wall initial conditions, for which left and right half lattice are in thermal equilibrium but with distinct parameters of pressure, mean velocity, and temperature.

Statistical Mechanics Exactly Solvable and Integrable Systems

no code implementations • 18 Dec 2019 • Irene López-Gutiérrez, Christian B. Mendl

A promising application of neural-network quantum states is to describe the time dynamics of many-body quantum systems.

Disordered Systems and Neural Networks Strongly Correlated Electrons Computational Physics Quantum Physics

1 code implementation • 24 Sep 2019 • Christian B. Mendl, Marco Polini, Andrew Lucas

Compressible electron flow through a narrow cavity is theoretically unstable, and the oscillations occurring during the instability have been proposed as a method of generating Terahertz radiation.

Mesoscale and Nanoscale Physics Strongly Correlated Electrons

1 code implementation • 29 Mar 2019 • Giuseppe Carleo, Kenny Choo, Damian Hofmann, James E. T. Smith, Tom Westerhout, Fabien Alet, Emily J. Davis, Stavros Efthymiou, Ivan Glasser, Sheng-Hsuan Lin, Marta Mauri, Guglielmo Mazzola, Christian B. Mendl, Evert van Nieuwenburg, Ossian O'Reilly, Hugo Théveniaut, Giacomo Torlai, Alexander Wietek

We introduce NetKet, a comprehensive open source framework for the study of many-body quantum systems using machine learning techniques.

Quantum Physics Disordered Systems and Neural Networks Strongly Correlated Electrons Computational Physics Data Analysis, Statistics and Probability

1 code implementation • 30 Jul 2018 • Lisa Sahlmann, Christian B. Mendl

We introduce a graphical user interface for constructing arbitrary tensor networks and specifying common operations like contractions or splitting, denoted GuiTeNet.

Mathematical Software Strongly Correlated Electrons Computational Physics

1 code implementation • 15 Dec 2016 • Edwin W. Huang, Christian B. Mendl, Shenxiu Liu, Steve Johnston, Hong-Chen Jiang, Brian Moritz, Thomas P. Devereaux

Upon doping, Mott insulators often exhibit symmetry breaking where charge carriers and their spins organize into patterns known as stripes.

Strongly Correlated Electrons

1 code implementation • 15 Dec 2014 • Christian B. Mendl, Herbert Spohn

We study the total current correlations for anharmonic chains in thermal equilibrium, putting forward predictions based on the second moment sum rule and on nonlinear fluctuating hydrodynamics.

Statistical Mechanics Computational Physics

1 code implementation • 24 Sep 2014 • Christian B. Mendl

We devise an efficient algorithm for the symbolic calculation of irreducible angular momentum and spin (LS) eigenspaces within the $n$-fold antisymmetrized tensor product $\wedge^n V_u$, where $n$ is the number of electrons and $u = \mathrm{s}, \mathrm{p}, \mathrm{d},\dots$ denotes the atomic subshell.

Atomic Physics Computational Physics Quantum Physics

1 code implementation • 8 Aug 2014 • Jianfeng Lu, Christian B. Mendl

We develop an efficient algorithm for a spatially inhomogeneous matrix-valued quantum Boltzmann equation derived from the Hubbard model.

Computational Physics Mesoscale and Nanoscale Physics

2 code implementations • 2 Mar 2014 • Christian B. Mendl, Herbert Spohn

As recently proposed, the long-time behavior of equilibrium time-correlation functions for one-dimensional systems are expected to be captured by a nonlinear extension of fluctuating hydrodynamics.

Statistical Mechanics Computational Physics

1 code implementation • 23 Nov 2013 • Christian B. Mendl, Francesc Malet, Paola Gori-Giorgi

We address low-density two-dimensional circular quantum dots with spin-restricted Kohn-Sham density functional theory.

Strongly Correlated Electrons

2 code implementations • 6 May 2013 • Christian B. Mendl, Herbert Spohn

We study the equilibrium time correlations for the conserved fields of classical anharmonic chains and argue that their dynamic correlator can be predicted on the basis of nonlinear fluctuating hydrodynamics.

Statistical Mechanics

1 code implementation • 8 Feb 2013 • Martin L. R. Fürst, Christian B. Mendl, Herbert Spohn

We observe that the huge degeneracy of stationary states in case of nearest neighbor hopping is lost and the convergence to the thermal Fermi-Dirac distribution is restored.

Mathematical Physics Mesoscale and Nanoscale Physics Mathematical Physics Computational Physics

1 code implementation • 30 Jul 2012 • Martin L. R. Fürst, Christian B. Mendl, Herbert Spohn

We study, both analytically and numerically, the Boltzmann transport equation for the Hubbard chain with nearest neighbor hopping and spatially homogeneous initial condition.

Mathematical Physics Mesoscale and Nanoscale Physics Mathematical Physics Computational Physics

1 code implementation • 28 Mar 2012 • Christian B. Mendl

We present a fast algorithm to calculate Coulomb/exchange integrals of prolate spheroidal electronic orbitals, which are the exact solutions of the single-electron, two-center Schr\"odinger equation for diatomic molecules.

Quantum Physics

3 code implementations • 4 Mar 2011 • Christian B. Mendl

It is mainly concerned with the representation of (symbolic) fermionic wavefunctions and the calculation of corresponding reduced density matrices (RDMs).

Quantum Physics Computational Physics 81-08, 81-04

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