A Geometric Approach to Strongly Correlated Bosons: From N-Representability to the Generalized BEC Force (2026) Chih-Chun Wang, Christian Schilling
Phys. Rev. B 113, 224511
Refining ensemble N-representability of one-body density matrices from partial information (2025)
Julia Liebert, Anna O. Schouten, Irma Avdic, Christian Schilling, David A. Mazziotti
New J. Phys. 27, 124511
Spin adaptation of the cumulant expansions of reduced density matrices (2025)
Julia Liebert, Christian Schilling, David A. Mazziotti
J. Chem. Phys. 163, 044109
From Entanglement to Bonds: Chemical Bonding Concepts from Quantum Information Theory (2025)
Lexin Ding, Eduard Matito, Christian Schilling arXiv:2501.15699, to appear in Nature Commun.
Functional theory for quantum phase transitions (2025)
Martin Uttendorfer, Julia Liebert, Christian Schilling
Submitted
A Spin-Faithful and Irreducible One-Matrix Functional Theory (2025)
Julia Liebert, Tomasz Maciazek, Christian Schilling
Submitted
Unveiling Intrinsic Many-Body Complexity by Compressing Single-Body Triviality (2024)
Ke Liao, Lexin Ding, Christian Schilling
J. Phys. Chem. Lett. 15, 6782
What can Quantum Information Theory Offer to Quantum Chemistry? (2024)
Damiano Aliverti-Piuri, Kaustav Chatterjee, Lexin Ding, Ke Liao, Julia Liebert, Christian Schilling
Faraday Discuss. 254, 76
Ground and Excited States from Ensemble Variational Principles (2024)
Lexin Ding, Cheng-Lin Hong, Christian Schilling
Quantum 8, 1525
Quantum Information-Assisted Complete Active Space Optimization (QICAS) (2023)
Lexin Ding, Stefan Knecht, Christian Schilling
J. Phys. Chem. Lett. 14, 49, 11022
Refining the weighted subspace-search variational quantum eigensolver: Compression of ansätze into a single pure state and optimization of weights (2023)
Cheng-Lin Hong, Luis Colmenarez, Lexin Ding, Carlos L. Benavides-Riveros, Christian Schilling arXiv:2306.11844
Physical Entanglement Between Localized Orbitals (2023)
Lexin Ding, Gesa Dünnweber, Christian Schilling
Quantum Sci. Technol. 9, 015005
An effective solution to convex 1-body N-representability (2023)
Federico Castillo, Jean-Philippe Labbé, Julia Liebert, Arnau Padrol, Eva Philippe, Christian Schilling
Ann. Henri Poincaré 24, 2241
Refining and relating fundamentals of functional theory (2023)
Julia Liebert, Adam Y. Chaou, Christian Schilling
J. Chem. Phys. 158, 214108
Deriving density-matrix functionals for excited states (2023)
Julia Liebert, Christian Schilling
SciPost Phys. 14, 120
An exact one-particle theory of bosonic excitations: From a generalized Hohenberg-Kohn theorem to convexified N-representability (2023)
Julia Liebert, Christian Schilling
New J. Phys. 25, 013009
1-matrix functional for long-range interaction energy of two hydrogen atoms (2023)
Jerzy Cioslowski, Christian Schilling, Rolf Schilling
J. Chem. Phys. 158, 084106 (Editor's Pick)
Quantum correlations in molecules: From quantum resourcing to chemical bonding (2023)
Lexin Ding, Stefan Knecht, Zoltán Zimborás, Christian Schilling
Quantum Sci. Technol. 8, 015015
Quantifying Electron Entanglement Faithfully (2022)
Lexin Ding, Zoltán Zimborás, Christian Schilling arXiv:2207.03377
Comment on "Self-Consistent-Field Method for Correlated Many-Electron Systems with an Entropic Cumulant Energy" (2022)
Lexin Ding, Julia Liebert, Christian Schilling arXiv:2202.05532
Excitations of Quantum Many-Body Systems via Purified Ensembles: A Unitary-Coupled-Cluster-based Approach (2022)
Carlos L. Benavides-Riveros, Lipeng Chen, Christian Schilling, Sebastián Mantilla, Stefano Pittalis
Phys. Rev. Lett. 129, 066401 (Editor's Suggestion)
Foundation of one-particle reduced density matrix functional theory for excited states (2021)
Julia Liebert, Frederico Castillo, Jean-Philippe Labbé, Christian Schilling
J. Chem. Theory Comput. 18, 1, 124
Introduction to Fermionic Entanglement and Correlation (2021)
Christian Schilling
Proceedings of the Autumn School Simulating Correlations with Computers, Vol. 11, edited by E. Pavarini and E. Koch, Jülich, Germany
Ensemble reduced density matrix functional theory for excited states and hierarchical generalization of Pauli's exclusion principle (2021)
Christian Schilling, Stefano Pittalis
Phys. Rev. Lett. 127, 023001
Fermionic systems for quantum information people (2021)
Szilárd Szalay, Zoltán Zimborás, Mihály Máté, Gergely Barcza, Christian Schilling, Örs Legeza
J. Phys. A: Math. Theor. 54, 393001
Functional Theory for Bose-Einstein Condensates (2021)
Julia Liebert, Christian Schilling
Phys. Rev. Research 3, 013282
How creating one additional well can generate Bose-Einstein condensation (2021)
Mihály Máté, Örs Legeza, Rolf Schilling, Mason Yousif, Christian Schilling
Commun. Phys. 4, 29
Concept of orbital entanglement and correlation in quantum chemistry (2021)
Lexin Ding, Sam Mardazad, Sreetama Das, Szilárd Szalay, Ulrich Schollwöck, Zoltán Zimborás, Christian Schilling
J. Chem. Theory Comput. 17, 1, 79
Reduced Density Matrix Functional Theory for Bosons (2020)
Carlos L. Benavides-Riveros, Jakob Wolff, Miguel A. L. Marques, Christian Schilling
Phys. Rev. Lett. 124, 180603
Correlation paradox of the dissociation limit: A quantum information perspective (2020)
Lexin Ding, Christian Schilling
J. Chem. Theory Comput. 16, 4159
Implications of pinned occupation numbers for natural orbital expansions. II: Rigorous derivation and extension to non-fermionic systems (2020)
Tomasz Maciazek, Adam Sawicki, David Gross, Alexandre Lopes, Christian Schilling
New J. Phys. 22, 023002
Implications of pinned occupation numbers for natural orbital expansions. I: Generalizing the concept of active spaces (2020)
Christian Schilling, Carlos L. Benavides-Riveros, Alexandre Lopes, Tomasz Maciazek, Adam Sawicki
New J. Phys. 22, 023001
Diverging exchange force and the form of density matrix functionals (2019)
Christian Schilling, Rolf Schilling
Phys. Rev. Lett. 122, 013001
Communication: Relating the pure and ensemble density matrix functional (2018)
Christian Schilling
J. Chem. Phys. 149, 231102
Role of the pair potential for the saturation of generalized Pauli constraints (2018)
Örs Legeza, Christian Schilling
Phys. Rev. A 97, 052105
Generalized Pauli constraints in small atoms (2018)
Christian Schilling, Murat Altunbulak, Stefan Knecht, Alexandre Lopes, James D. Whitfield, Matthias Christandl, David Gross, Markus Reiher
Phys. Rev. A 97, 052503
Reconstructing quantum states from single-party information (2017)
Christian Schilling, Carlos Benavides-Riveros, Peter Vrana
Phys. Rev. A 96, 052312
Universal upper bounds on the Bose-Einstein condensate and the Hubbard star (2017)
Felix Tennie, Vlatko Vedral, Christian Schilling
Phys. Rev. B 96, 064502
Relating correlation measures: the importance of the energy gap (2017)
Carlos Benavides-Riveros, Christian Schilling, Nektarios Lathiotakis, Miguel Marques
Phys. Rev. A 95, 032507
Influence of the fermionic exchange symmetry beyond Pauli's exclusion principle (2016)
Felix Tennie, Vlatko Vedral, Christian Schilling
Phys. Rev. A 95, 022336
Pinning of Fermionic Occupation Numbers: Higher Spatial Dimensions and Spin (2016)
Felix Tennie, Vlatko Vedral, Christian Schilling
Phys. Rev. A 94, 012120
Pinning of Fermionic Occupation Numbers: General Concepts and One Spatial Dimension (2016)
Felix Tennie, Daniel Ebler, Vlatko Vedral, Christian Schilling
Phys. Rev. A 93, 042126
Natural Extension of Hartree-Fock through extremal 1-fermion information: Overview and application to the lithium atom (2016)
Carlos Benavides-Riveros, Christian Schilling
Z. Phys. Chem. 230, 703–717
Number-parity effect for confined fermions in one dimension (2016)
Christian Schilling, Rolf Schilling
Phys. Rev. A 93, 021601, Rapid Communication
Hubbard model: Pinning of occupation numbers and role of symmetries (2015)
Christian Schilling
Phys. Rev. B 92, 155149
Quasipinning and its relevance for N-Fermion quantum states (2015)
Christian Schilling
Phys. Rev. A 91, 022105
Duality of reduced density matrices and their eigenvalues (2014)
Christian Schilling, Rolf Schilling
J. Phys. A 47, 415305
Natural Orbitals and Occupation Numbers for Harmonium: Fermions versus Bosons (2013)
Christian Schilling
Phys. Rev. A 88, 042105
Pinning of Fermionic Occupation Numbers (2013)
Christian Schilling, David Gross, Matthias Christandl
Phys. Rev. Lett. 110, 040404 — Editors' Suggestion and Viewpoint in Physics
Proceedings and other contributions
Stochastic and low-scaling techniques: general discussion (2024)
Ali Alavi, … Christian Schilling, … Martijn A. Zwijnenburg (46 contributors)
Faraday Discuss. 451, 191
Novel perturbative and variational methods for stronger correlations: general discussion (2024)
Vibin Abraham, … Christian Schilling, … Dominika Zgid (30 contributors)
Faraday Discuss. 254, 191
The Quantum Marginal Problem (2014)
Christian Schilling
Mathematical Results in Quantum Mechanics 10, 165, World Scientific
