Publications
Publication list on arXiv, Google Scholar
Preprints
- Thilo R. Müller,
Manuel Geiger,
Christian B. Mendl
Ground-state preparation of the Fermi-Hubbard model on a quantum computer with 2D topology via quantum eigenvalue transformation of unitary matrices
(arXiv:2411.18535) - Egor Agapov,
Oriol Bertomeu,
Andrés Carballo,
Christian B. Mendl,
Aaron Sander
Predicting interacting Green’s functions with neural networks
(arXiv:2411.13644) - Pedro Hack,
Christian B. Mendl,
Alexandru Paler
Belief propagation for general graphical models with loops
(arXiv:2411.04957) - Nathaniel Tornow,
Christian B. Mendl,
Pramod Bhatotia
Quantum-classical computing via tensor networks
(arXiv:2410.15080) - Yu Wang,
Maxine Luo,
Christian B. Mendl
Enhanced Krylov methods for molecular Hamiltonians: Reduced memory cost and complexity scaling via tensor hypercontraction
(arXiv:2409.12708) - Emiliano Godinez-Ramirez,
Richard M. Milbradt,
Christian B. Mendl
A Riemannian approach to the Lindbladian dynamics of a locally purified tensor network
(arXiv:2409.08127) - Richard M. Milbradt,
Qunsheng “Keefe” Huang,
Christian B. Mendl
PyTreeNet: A Python library for easy utilisation of tree tensor networks
(arXiv:2407.13249) - Peter J. Eder,
Jernej Rudi Finžgar,
Sarah Braun,
Christian B. Mendl
Quantum dissipative search via Lindbladians
(arXiv:2407.11782) - Erenay Karacan,
Yanbin Chen,
Christian B. Mendl
Enhancing scalability of quantum eigenvalue transformation of unitary matrices for ground state preparation through adaptive finer filtering
(arXiv:2401.09091) - Shuo Sun,
Chandan Kumar,
Kevin Shen,
Elvira Shishenina,
Christian B. Mendl
Evaluating ground state energies of chemical systems with low-depth quantum circuits and high accuracy
(arXiv:2402.13960) - Philipp Seitz,
Manuel Geiger,
Christian Ufrecht,
Axel Plinge,
Christopher Mutschler,
Daniel D. Scherer,
Christian B. Mendl
SCIM MILQ: An HPC quantum scheduler
(arXiv:2404.03512) - Manuel Schnaus,
Lilly Palackal,
Benedikt Poggel,
Xiomara Runge,
Hans Ehm,
Jeanette Miriam Lorenz,
Christian B. Mendl
Efficient encodings of the travelling salesperson problem for variational quantum algorithms
(arXiv:2404.05448) - Pedro Hack,
Christian B. Mendl
Universality and classification of elementary thermal operations
(arXiv:2312.11223) - Philipp Seitz,
Manuel Geiger,
Christian B. Mendl
Multithreaded parallelism for heterogeneous clusters of QPUs
(arXiv:2311.17490) - Daniel Haag,
Richard M. Milbradt,
Christian B. Mendl
Correlations in disordered solvable tensor network states
(arXiv:2309.04776) - Wiktor Jurasz, Christian B. Mendl
Quantum Wasserstein GANs for state preparation at unseen points of a phase diagram
(arXiv:2309.09543) - Amr Elsharkawy, Xiao-Ting Michelle To, Philipp Seitz, Yanbin Chen, Yannick Stade, Manuel Geiger, Qunsheng Huang, Xiaorang Guo, Muhammad Arslan Ansari, Christian B. Mendl, Dieter Kranzlmüller, Martin Schulz
Integration of quantum accelerators with high performance computing - A review of quantum programming tools
(arXiv:2309.06167)
Peer reviewed papers
2024
- Martina Nibbi,
Christian B. Mendl
Block encoding of matrix product operators
Phys. Rev. A 110, 042427 (2024) (arXiv:2312.08861) - Mihail Stoian,
Richard M. Milbradt,
Christian B. Mendl
On the optimal linear contraction order of tree tensor networks, and beyond
SIAM J. Sci. Comput. 46, B647-B668 (2024) (arXiv:2209.12332) - Richard M. Milbradt,
Qunsheng “Keefe” Huang,
Christian B. Mendl
State diagrams to determine tree tensor network operators
SciPost Phys. Core 7, 036 (2024) (arXiv:2311.13433) - Jernej Rudi Finžgar,
Aron Kerschbaumer,
Martin J. A. Schuetz,
Christian B. Mendl,
Helmut G. Katzgraber
Quantum-informed recursive optimization algorithms
PRX Quantum 5, 020327 (2024) (arXiv:2308.13607) - Ayse Kotil,
Rahul Banerjee,
Qunsheng “Keefe” Huang,
Christian B. Mendl
Riemannian quantum circuit optimization for Hamiltonian simulation
J. Phys. A: Math. Theor. 57, 135303 (2024) (arXiv:2212.07556)
2023
- Ansgar Schubert, Christian B. Mendl
Trotter error with commutator scaling for the Fermi-Hubbard model
Phys. Rev. B 108, 195105 (2023) (arXiv:2306.10603) - David Winderl,
Qunsheng “Keefe” Huang,
Christian B. Mendl
A recursively partitioned approach to architecture-aware ZX polynomial synthesis and optimization
2023 IEEE International Conference on Quantum Computing and Engineering (QCE), Bellevue, WA, USA, 837-847 (2023) (arXiv:2303.17366) - Lilly Palackal,
Benedikt Poggel,
Matthias Wulff,
Hans Ehm,
Jeanette Miriam Lorenz,
Christian B. Mendl
Quantum-assisted solution paths for the capacitated vehicle routing problem
2023 IEEE International Conference on Quantum Computing and Engineering (QCE), Bellevue, WA, USA, 648-658 (2023) (arXiv:2304.09629) - Amine Bentellis,
Andrea Matic-Flierl,
Christian B. Mendl,
Jeanette Miriam Lorenz
Benchmarking the Variational Quantum Eigensolver using different quantum hardware
2023 IEEE International Conference on Quantum Computing and Engineering (QCE), Bellevue, WA, USA, 518-523 (2023) (arXiv:2305.07092) - Guido Mazzuca,
Tamara Grava,
Thomas Kriecherbauer,
Kenneth T-R McLaughlin,
Christian B. Mendl,
Herbert Spohn
Equilibrium spacetime correlations of the Toda lattice on the hydrodynamic scale
J. Stat. Phys. 190, 149 (2023) (arXiv:2301.02431) - Irene López Gutiérrez,
Felix Dietrich,
Christian B. Mendl
Quantum process tomography of unitary maps from time-delayed measurements
Quantum Inf. Process. 22, 251 (2023) (arXiv:2112.09021) - Philipp Seitz,
Ismael Medina,
Esther Cruz,
Qunsheng “Keefe” Huang,
Christian B. Mendl
Simulating quantum circuits using tree tensor networks
Quantum 7, 964 (2023) (arXiv:2206.01000) - Richard M. Milbradt,
Lisa Scheller,
Christopher Aßmus,
Christian B. Mendl
Ternary unitary quantum lattice models and circuits in 2 + 1 dimensions
Phys. Rev. Lett. 130, 090601 (2023) (arXiv:2206.01499) - Simon Wiedemann,
Daniel Hein,
Steffen Udluft,
Christian B. Mendl
Quantum policy iteration via amplitude estimation and Grover search - Towards quantum advantage for reinforcement learning
Transactions on Machine Learning Research (03/2023) (arXiv:2206.04741) - Theodora-Augustina Drăgan,
Maureen Monnet,
Christian B. Mendl,
Jeanette Miriam Lorenz
Quantum reinforcement learning for solving a stochastic frozen lake environment and the impact of quantum architecture choices
ICAART 2023 15th International Conference on Agents and Artificial Intelligence, RP-103 (arXiv:2212.07932)
2022
- Alona Sakhnenko,
Corey O’Meara,
Kumar J. B. Ghosh,
Christian B. Mendl,
Giorgio Cortiana,
Juan Bernabé-Moreno
Hybrid classical-quantum autoencoder for anomaly detection
Quantum Mach. Intell. 4, 27 (2022) (arXiv:2112.08869) - Raúl Berganza Gómez,
Corey O’Meara,
Giorgio Cortiana,
Christian B. Mendl,
Juan Bernabé-Moreno
Towards AutoQML: A cloud-based automated circuit architecture search framework
2022 IEEE 19th International Conference on Software Architecture Companion (ICSA-C), 129-136 (2022) (arXiv:2202.08024) - Qunsheng “Keefe” Huang, Christian B. Mendl
Classical simulation of quantum circuits using a multiqubit Bloch vector representation of density matrices
Phys. Rev. A 105, 022409 (2022) (arXiv:2103.13962) - Christian B. Mendl, Herbert Spohn
High-low pressure domain wall for the classical Toda lattice
SciPost Phys. Core 5, 002 (2022) (arXiv:2011.11008) - Irene López Gutiérrez,
Christian B. Mendl
Real time evolution with neural-network quantum states
Quantum 6, 627 (2022) (arXiv:1912.08831)
2021
- Benjamin Zanger,
Christian B. Mendl,
Martin Schulz,
Martin Schreiber
Quantum algorithms for solving ordinary differential equations via classical integration methods
Quantum 5, 502 (2021) (arXiv:2012.09469) - Christian B. Mendl, Folkmar Bornemann
Efficient numerical evaluation of thermodynamic quantities on infinite (semi-)classical chains
J. Stat. Phys. 182, 57 (2021) (arXiv:2006.13587) - Christian B. Mendl, Marco Polini, Andrew Lucas
Coherent terahertz radiation from a nonlinear oscillator of viscous electrons [pdf]
Appl. Phys. Lett. 118, 013105 (2021) (arXiv:1909.11093)
2020
- Lisa Sahlmann, Christian B. Mendl
GuiTeNet: A graphical user interface for tensor networks
J. Open Res. Softw. 8(1), 29 (2020) (arXiv:1808.00532)
Online demo at guitenet.org - Avijit Das,
Kedar Damle,
Abhishek Dhar,
David A. Huse,
Manas Kulkarni,
Christian B. Mendl,
Herbert Spohn
Nonlinear fluctuating hydrodynamics for the classical XXZ spin chain [pdf]
J. Stat. Phys. 180, 238-262 (2020) (arXiv:1901.00024)
2019
- Christian B. Mendl, Jan Carl Budich
Stability of dynamical quantum phase transitions in quenched topological insulators: From multiband to disordered systems [pdf]
Phys. Rev. B 100, 224307 (2019) (arXiv:1909.01402) - Giuseppe Carleo et al.
NetKet: A machine learning toolkit for many-body quantum systems [pdf]
SoftwareX 10, 100311 (2019) (arXiv:1904.00031) - Christian B. Mendl
Fourier’s law and many-body quantum systems [pdf]
C. R. Physique 20, 442-448 (2019)
2018
- Zi-Xiang Li,
Abolhassan Vaezi,
Christian B. Mendl,
Hong Yao
Numerical observation of emergent spacetime supersymmetry at quantum criticality [pdf]
Sci. Adv. 4, eaau1463 (2018) (arXiv:1711.04772) - Christian B. Mendl
PyTeNet: A concise Python implementation of quantum tensor network algorithms [pdf]
Journal of Open Source Software 3(30), 948 (2018)
PyTeNet is hosted at GitHub. - Christian B. Mendl,
Andrew Lucas
Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover [pdf]
Appl. Phys. Lett. 112, 124101 (2018) (arXiv:1801.01501) - Edwin W. Huang,
Christian B. Mendl,
Hong-Chen Jiang,
Brian Moritz,
Thomas P. Devereaux
Stripe order from the perspective of the Hubbard model [pdf]
npj Quantum Mater. 3, 22 (2018) (arXiv:1709.02398) - Chunjing J. Jia, Yao Wang, Christian B. Mendl,
Brian Moritz,
Thomas P. Devereaux
Paradeisos: a perfect hashing algorithm for many-body eigenvalue problems [pdf]
Comput. Phys. Commun. 224, 81-89 (2018) (arXiv:1707.03974)
2017
-
Edwin W. Huang, Christian B. Mendl,
Shenxiu Liu,
Steven Johnston,
Hong-Chen Jiang,
Brian Moritz,
Thomas P. Devereaux
Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors [pdf]
Science 358, 1161-1164 (2017) (arXiv:1612.05211)
Together with Edwin, I implemented the “Determinant quantum Monte Carlo” code (C with Intel MKL) used for the computations in the paper, available at GitHub. See also the news announcement at SLAC. - Christian B. Mendl,
Elizabeth A. Nowadnick,
Edwin W. Huang,
Steven Johnston,
Brian Moritz,
Thomas P. Devereaux
Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model [pdf]
Phys. Rev. B 96, 205141 (2017) (arXiv:1709.00245) - Annabelle Bohrdt, Christian B. Mendl,
Manuel Endres,
Michael Knap
Scrambling and thermalization in a diffusive quantum many-body system [pdf]
New J. Phys. 19, 063001 (2017) (arXiv:1612.02434)
I implemented and ran the numerical simulations in the paper, based on matrix product operators (MPOs). The source code is available at GitHub. - Christian B. Mendl, Herbert Spohn
Shocks, rarefaction waves, and current fluctuations for anharmonic chains [pdf]
J. Stat. Phys. 166, 841-875 (2017) (arXiv:1607.05205)
Detailed derivations related to the publication “Searching for the Tracy-Widom distribution in nonequilibrium processes” below.
2016
- Christian B. Mendl, Jianfeng Lu, Jani Lukkarinen
Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory [pdf]
Phys. Rev. E 94, 062104 (2016) (arXiv:1608.08308)
Using Wigner functions derived from kinetic theory to study thermalization. Motivated by the active research field “thermalization of isolated quantum systems”. - Christian B. Mendl, Herbert Spohn
Searching for the Tracy-Widom distribution in nonequilibrium processes [pdf]
Phys. Rev. E 93, 060101(R) (2016) (arXiv:1512.06292)
The height fluctuations for one-dimensional growth models in the Kardar-Parisi-Zhang universality class are governed by the random matrix Tracy-Widom distribution. Here we demonstrate that the Tracy-Widom distribution also occurs for the Leroux stochastic lattice gas and hard-point particle chains with alternating masses, when starting from domain wall initial conditions. The result is expected to be general, and should also hold for other anharmonic chains and one-dimensional quantum fluids. - Christian B. Mendl
Efficient algorithm for many-electron angular momentum and spin diagonalization on atomic subshells [pdf]
Commun. Comput. Phys. 19, 192-204 (2016) (arXiv:1409.6860)
A Mathematica implementation of the algorithm described in the paper is available at GitHub. The algorithm is an improved version of the LS diagonalization step used in the paper “Efficient algorithm for asymptotics-based configuration-interaction methods and electronic structure of transition metal atoms” below.
2015
- Christian B. Mendl, Herbert Spohn
Low temperature dynamics of the one-dimensional discrete nonlinear Schrödinger equation [pdf]
J. Stat. Mech. (2015) P08028 (arXiv:1505.04218)
Nonlinear fluctuating hydrodynamics applied to the discrete nonlinear Schrödinger equation. At low temperatures, the “superfluid velocity” is almost conserved, which opens a “second sound” transportation channel. - Francesc Malet,
André Mirtschink, Christian B. Mendl, Johannes Bjerlin, Elife Ö. Karabulut,
Stephanie M. Reimann,
Paola Gori-Giorgi
Density functional theory for strongly-correlated bosonic and fermionic ultracold dipolar and ionic gases [pdf]
Phys. Rev. Lett. 115, 033006 (2015) (arXiv:1502.01469)
An alternative functional for DFT calculations enables simulations of ultracold gases with long-ranged interactions. Also refer to the paper “Wigner localization in quantum dots from Kohn-Sham density functional theory without symmetry breaking” below. - Jianfeng Lu, Christian B. Mendl
Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation [pdf]
J. Comput. Phys. 291, 303-316 (2015) (arXiv:1408.1782)
Development and implementation of an efficient algorithm for the spatially inhomogeneous matrix-valued quantum Boltzmann equation derived from the Hubbard model. Also compare with the Boltzmann-Hubbard papers below concerned with the one-dimensional case. - Christian B. Mendl, Herbert Spohn
Current fluctuations for anharmonic chains in thermal equilibrium [pdf]
J. Stat. Mech. (2015) P03007 (arXiv:1412.4609)
The C source code for the simulations can be found at here, and a Mathematica package and demonstration file for calculating the G coupling constants here. See also the papers “Equilibrium time-correlation functions for one-dimensional hard-point systems” and “Dynamic correlators of Fermi-Pasta-Ulam chains and nonlinear fluctuating hydrodynamics” below. - Christian B. Mendl
Matrix-valued quantum lattice Boltzmann method [pdf]
Int. J. Mod. Phys. C 26, 1550113 (2015) (arXiv:1309.1656)
Lattice Boltzmann method (LBM) with quantum aspects: Fermi-Dirac equilibrium functions instead of Maxwell-Boltzmann, and matrix-valued spin density matrices as distribution functions. See also the video in the software section. - Martin L.R. Fürst, Markus Kotulla, Christian B. Mendl, Herbert Spohn
Quantum Boltzmann equation for spin-dependent reactions in the kinetic regime [pdf]
J. Phys. A 48, 095204 (2015) (arXiv:1411.2576)
Matrix-valued multi-component Boltzmann equation derived from a general quantum field Hamiltonian. We illustrate the approach to equilibrium by numerical simulations in the isotropic three-dimensional setting.
2014
- Huajie Chen, Gero Friesecke, Christian B. Mendl
Numerical methods for a Kohn-Sham density functional model based on optimal transport [pdf]
J. Chem. Theory Comput. 10, 4360-4368 (2014) (arXiv:1405.7026)
Finite element discretization of the optimal transport map for N = 2 electrons. - Christian B. Mendl, Herbert Spohn
Equilibrium time-correlation functions for one-dimensional hard-point systems [pdf]
Phys. Rev. E 90, 012147 (2014) (arXiv:1403.0213)
Comparing molecular dynamics simulations of hard-point chains with predictions from nonlinear fluctuating hydrodynamics. A slightly improved version of the C source code used for the simulations can be found here, and a Mathematica package and demonstration file for calculating the G coupling constants here. See also the PRL “Dynamic correlators of Fermi-Pasta-Ulam chains and nonlinear fluctuating hydrodynamics” below and the paper by Herbert Spohn “Nonlinear fluctuating hydrodynamics for anharmonic chains”, J. Stat. Phys. 154, 1191-1227 (2014). - Suman G. Das, Abhishek Dhar,
Keiji Saito,
Christian B. Mendl, Herbert Spohn
Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain [pdf]
Phys. Rev. E 90, 012124 (2014) (arXiv:1404.7081) - Martin L.R. Fürst, Christian B. Mendl, Herbert Spohn
Dynamics of the Bose-Hubbard chain for weak interactions [pdf]
Phys. Rev. B 89, 134311 (2014) (arXiv:1312.6737)
Matrix-valued Boltzmann equation for the Bose-Hubbard chain in the kinetic regime, including a theoretical derivation and numerical simulations. Concerning the Fermi-Hubbard chain, see the papers below. - Christian B. Mendl, Francesc Malet, Paola Gori-Giorgi
Wigner localization in quantum dots from Kohn-Sham density functional theory without symmetry breaking [pdf]
Phys. Rev. B 89, 125106 (2014) (arXiv:1311.6011)
Kohn-Sham DFT calculations with the SCE functional, implemented using C and Mathematica. A slightly improved version of the C source code and a Mathematica demonstration file can be found at GitHub.
2013
- Christian B. Mendl, Herbert Spohn
Dynamic correlators of Fermi-Pasta-Ulam chains and nonlinear fluctuating hydrodynamics [pdf]
Phys. Rev. Lett. 111, 230601 (2013) (arXiv:1305.1209)
For the underlying theory of nonlinear fluctuating hydrodynamics for anharmonic chains, refer to arXiv:1305.6412. A Mathematica package and demonstration file for calculating the coupling constants can be found at GitHub. - Gero Friesecke, Christian B. Mendl,
Brendan Pass, Codina Cotar,
Claudia Klüppelberg
N-density representability and the optimal transport limit of the Hohenberg-Kohn functional [pdf]
J. Chem. Phys. 139, 164109 (2013) (arXiv:1304.0679)
Similar topic as in “Kantorovich dual solution for strictly correlated electrons in atoms and molecules”. I’m responsible for the calculations involving small atoms in the paper. - Martin L.R. Fürst, Christian B. Mendl, Herbert Spohn
Matrix-valued Boltzmann equation for the nonintegrable Hubbard chain [pdf]
Phys. Rev. E 88, 012108 (2013) (arXiv:1302.2075)
Follow-up paper for the non-integrable case. I am mainly responsible for the numeric part, which requires more sophistication than the integrable case to adopt the conservation laws in the numeric discretization. The (slightly improved) C / Mathematica source code for the simulations can be found at GitHub. - Christian B. Mendl, Lin Lin
Kantorovich dual solution for strictly correlated electrons in atoms and molecules [pdf]
Phys. Rev. B 87, 125106 (2013) (arXiv:1210.7117)
We develop a nested optimization method to solve the Kantorovich dual formulation of optimal transport directly, with applications to atoms and small molecules. - Christian B. Mendl, Steven Eliuk, Michelle Noga, and Pierre Boulanger
Comprehensive analysis of high-performance computing methods for filtered back-projection [pdf]
ELCVIA 12(1): 1-16 (2013)
Based on the Radon transform implementation in the software section, but for fan-beam geometry.
2012
- Martin L.R. Fürst, Christian B. Mendl, Herbert Spohn
Matrix-valued Boltzmann equation for the Hubbard chain [pdf]
Phys. Rev. E 86, 031122 (2012) (arXiv:1207.6926)
The time-dependent Wigner function is matrix-valued due to spin. - Christian B. Mendl
Efficient algorithm for two-center Coulomb and exchange integrals of electronic prolate spheroidal orbitals [pdf]
J. Comput. Phys. 231, 5157-5175 (2012) (arXiv:1203.6256)
The paper presents a fast algorithm to calculate Coulomb/exchange integrals of prolate spheroidal electronic orbitals, which appear in di-atomic molecules. The Mathematica code used for the calculations in the paper is available at GitHub.
2011
- Christian B. Mendl
The FermiFab toolbox for fermionic many-particle quantum systems [pdf]
Comput. Phys. Commun. 182, 1327-1337 (2011) (arXiv:1103.0872)
This paper descibes the FermiFab Matlab and Mathematica toolbox (available at GitHub, formerly at SourceForge), focusing on the implementation details based on integer bitfields.
2010
- Christian B. Mendl, Gero Friesecke
Efficient algorithm for asymptotics-based configuration-interaction methods and electronic structure of transition metal atoms [pdf]
J. Chem. Phys. 133, 184101 (2010) (arXiv:1009.2013)
Several Mathematica notebooks used for the calculations are available here: [zip]. The FermiFab toolbox (also see above paper) has originally been developed to perform the symbolic and numerical calculations described in this paper.
2009
-
Christian B. Mendl, Michael M. Wolf
Unital quantum channels - Convex structure and revivals of Birkhoff’s theorem [pdf]
Commun. Math. Phys. 289, 1057-1086 (2009) (arXiv:0806.2820)
Basically a compact version of my physics diploma thesis.
Book chapters and conference reports
- Christian B. Mendl, Silvia Palpacelli,
Alex Kamenev,
Sauro Succi
Quantum lattice Boltzmann study of random-mass Dirac fermions in one dimension [pdf]
In: G. Angilella, C. Amovilli (eds) Many-body Approaches at Different Scales. Springer, Cham [doi], (arXiv:1706.05138) - Christian B. Mendl
Electronic structure of 3d transition metal atoms [pdf]
Oberwolfach Reports 8 (2011), issue 2, pp. 1769-1843
Mathematical Methods in Quantum Chemistry
Selected Talks and Notes
- Notes on Coulomb overlap integrals for Gaussian orbitals
[pdf] (December 2024).
Derivation of the Coulomb (electronic repulsion) integral for Gaussian orbitals, based on a historic paper from S. F. Boys. - Aspects of quantum simulation of the Fermi-Hubbard model
[pdf] (October 2023).
Talk at the IPAM Long Program “Mathematical and Computational Challenges in Quantum Computing”, UCLA, USA. - Real time evolution with neural-network quantum states by approximating the implicit midpoint method
[pdf] (June 2020).
Virtual talk at the Machine Learning for Quantum Simulation: Virtual Conference, Flatiron Institute, USA. - Kinetic Theory of the Dyakonov-Shur Instability
[pdf] (March 2018).
Talk at the APS March meeting 2018, Los Angeles, USA. - Matrix-valued Quantum Boltzmann Methods
[pdf] (November 2016).
Talk at the KI-Net Young Researchers Workshop: Stochastic and deterministic methods in kinetic theory, Duke University, USA. - Searching for the Tracy-Widom Distribution in Nonequilibrium Processes
[pdf] (October 2016).
Talk at the Mathematical Physics and Probability seminar, UC Davis, USA. - Determinant quantum Monte Carlo algorithm for simulating Hubbard models
[pdf] (July 2016).
Talk at the workshop “Mathematical and numerical analysis of electronic structure models”, Roscoff, France. - Doping dependence of ordered phases in the Hubbard-Holstein model
[pdf] (March 2016).
Talk at the APS March meeting 2016, Baltimore, USA. - Low temperature dynamics of the one-dimensional discrete nonlinear Schrödinger equation
[pdf] (February 2016).
Talk at the workshop “New approaches to non-equilibrium and random systems”, KITP, UC Santa Barbara, USA. - Kohn-Sham density functional theory in the framework of “strictly correlated electrons”
[zip] (April 2014).
Talk at the “Workshop on Mathematical and numerical analysis of electronic structure models”, Konrad-Zuse Institut Berlin, Germany. - Optimal transport limit of the Hohenberg-Kohn functional: Kantorovich dual solution and reduced density models
[pdf] (June 2013).
Talk at the SIAM Conference on “Mathematical Aspects of Materials Science”, Philadelphia, USA. - Efficient algorithm for two-center Coulomb and exchange integrals of electronic prolate spheroidal orbitals
[pdf] (February 2012).
Talk given at CERMICS, Ecole des Ponts ParisTech, Paris, France. - Electronic structure of 3d transition metal atoms
[pptx] (June 2011).
Talk at the Oberwolfach Workshop “Mathematical Methods in Quantum Chemistry”, Germany. - Unital quantum channels
[pdf] (December 2007).
Talk about unital quantum channels at the MPQ theory division Ringberg 2007 meeting, Germany. - Generalized functions
[pdf] (March 2006).
Justification of some special fundamental solutions to well known partial differential equations in the sense of generalized functions.
PhD Statistical (Bio-)Physics
I’ve completed my PhD at the Ludwig-Maximilians-Universität München, supervised by Prof. Dr. Tim Gollisch and Prof. Dr. Erwin Frey. Experimental work was performed at the Max-Planck-Institute of Neurobiology, München. (The Gollisch group has moved to Göttingen in the meantime.)
PhD Thesis: | Neuronal coding in the retina: Effects of eye movements and network interactions [pdf] [link] (7. December 2011, 128 pages) |
Advisors: | Prof. Dr. Tim Gollisch, Prof. Dr. Erwin Frey |
Scholarship: | Boehringer Ingelheim Fonds PhD Fellowship |
Diploma Theses
Physics
Diploma Thesis: | Unital quantum channels [pdf] (June 2008, 60 pages) |
Advisors: | Prof. Dr. J. Ignacio Cirac, Prof. Dr. Michael M. Wolf |
Address: | Theory Division Max-Planck-Institut für Quantenoptik Hans-Kopfermann-Straße 1 D-85748 Garching bei München |
Mathematics
Diploma Thesis: | The N-representability problem and orbital occupation in transition metals [pdf] (July 2008, 58 pages) |
Bachelor Thesis: | The representability problem in many-body quantum mechanics [pdf] (October 2006, 32 pages) |
Advisor: | Prof. PhD. Gero Friesecke |
Address: | Department of Mathematics - Analysis Technische Universität München Boltzmannstraße 3 D-85747 Garching bei München |