831 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Technical University of MunichDE615 papers
- Ludwig-Maximilians-Universität MünchenDE442 papers
- Max Planck Institute of Quantum OpticsDE404 papers
- Bavarian Academy of Sciences and HumanitiesDE95 papers
- Harvard UniversityUS93 papers
- Imperial College LondonGB90 papers
- Walther Meissner InstituteDE84 papers
- Centre National de la Recherche ScientifiqueFR75 papers
- Center for NanoScienceDE69 papers
- ETH ZurichCH49 papers
- University of NottinghamGB41 papers
- Max Planck Institute for the Physics of Complex SystemsDE40 papers
9 papers · 2 filters
Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States
Bruno Nachtergaele, Robert Sims, Amanda Young
We study the stability with respect to a broad class of perturbations of gapped ground state phases of quantum spin systems defined by frustration-free Hamiltonians. The core resul…
Revisiting Groeneveld's approach to the virial expansion
Sabine Jansen
A generalized version of Groeneveld's convergence criterion for the virial expansion and generating functionals for weighted -connected graphs is proven. The criterion works for…
Relativistic Strong Scott Conjecture: A Short Proof
Rupert L. Frank, Konstantin Merz, Heinz Siedentop
We consider heavy neutral atoms of atomic number modeled with kinetic energy used already by Chandrasekhar. We study the behavior of the one-particle g…
Lagrange inversion and combinatorial species with uncountable color palette
Sabine Jansen, Tobias Kuna, Dimitrios Tsagkarogiannis
We prove a multivariate Lagrange-Good formula for functionals of uncountably many variables and investigate its relation with inversion formulas using trees. We clarify the cancell…
Sharp Weyl laws with singular potentials
Rupert L. Frank, Julien Sabin
We consider the Laplace--Beltrami operator on a three-dimensional Riemannian manifold perturbed by a potential from the Kato class and study whether various forms of Weyl's law rem…
The Lieb-Thirring inequality for interacting systems in strong-coupling limit
Kevin Kögler, Phan Thành Nam
We consider an analogue of the Lieb-Thirring inequality for quantum systems with homogeneous repulsive interaction potentials, but without the antisymmetry assumption on the wave f…
Spectral Gaps and Incompressibility in a Fractional Quantum Hall System
Bruno Nachtergaele, Simone Warzel, Amanda Young
We study an effective Hamiltonian for the standard fractional quantum Hall system in the thin cylinder regime. We give a complete description of its ground state space in t…
Dimerization and Néel order in different quantum spin chains through a shared loop representation
Michael Aizenman, Hugo Duminil-Copin, Simone Warzel
The ground states of the spin- antiferromagnetic chain with a projection-based interaction and the spin- XXZ-chain at anisotropy param…
Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime
Phan Thành Nam, Marcin Napiórkowski, Julien Ricaud +1
We study the Bose-Einstein condensates of trapped Bose gases in the Gross-Pitaevskii regime. We show that the ground state energy and ground states of the many-body quantum system…