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
44 papers · 1 filter
v-Representability on a one-dimensional torus at elevated temperatures
Sarina M. Sutter, Markus Penz, Michael Ruggenthaler +2
We extend a previous result [Sutter et al., J. Phys. A: Math. Theor. 57, 475202 (2024)] to give an explicit form of the set of -representable densities on the one-dimensional to…
The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics
Long Meng, Heinz Siedentop
We study atomic ground state energies for neutral atoms as the nuclear charge is large in the no-pair formalism. We show that for a large class of projections defining the unde…
Undecidability in Physics: a Review
Álvaro Perales-Eceiza, Toby Cubitt, Mile Gu +2
The study of undecidability in problems arising from physics has experienced a renewed interest, mainly in connection with quantum information problems. The goal of this review is…
Hierarchical Cubes: Gibbs Measures and Decay of Correlations
Sabine Jansen, Jan Philipp Neumann
We study a hierarchical model of non-overlapping cubes of sidelengths , . The model allows for cubes of arbitrarily small size and the activities need not be…
On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications
Tim Möbus
The Trotter product formula and the quantum Zeno effect are both indispensable tools for constructing time-evolutions using experimentally feasible building blocks. In this work, w…
New Partial Trace Inequalities and Distillability of Werner States
Pablo Costa Rico
One of the oldest problems in quantum information theory is to study if there exists a state with negative partial transpose which is undistillable. This problem has been open for…
On a bulk gap strategy for quantum lattice models
Amanda Young
Establishing the (non)existence of a spectral gap above the ground state in the thermodynamic limit is one of the fundamental steps for characterizing the topological phase of a qu…
Transcendental properties of entropy-constrained sets: Part II
Vjosa Blakaj, Chokri Manai
In this work, we address the question of the impossibility of certain single-letter formulas by exploiting the semi-algebraic nature of various entropy-constrained sets. The focus…
A Nonvanishing Spectral Gap for AKLT Models on Generalized Decorated Graphs
Angelo Lucia, Amanda Young
We consider the spectral gap question for AKLT models defined on decorated versions of simple, connected graphs G. This class of decorated graphs, which are defined by replacing al…
The Scott conjecture for large Coulomb systems: a review
Rupert L. Frank, Konstantin Merz, Heinz Siedentop
We review some older and more recent results concerning the energy and particle distribution in ground states of heavy Coulomb systems. The reviewed results are asymptotic in natur…
Mathematical Elements of Density Functional Theory
Heinz Siedentop
We review some of the basic mathematical results about density functional theory.
Dilute Bose gas with three-body interaction: recent results and open questions
Phan Thành Nam, Julien Ricaud, Arnaud Triay
We review our recent study on the ground state energy of dilute Bose gases with three-body interactions. The main feature of our results is the emergence of the 3D energy-critical…
On the generators of quantum dynamical semigroups with invariant subalgebras
Markus Hasenöhrl, Matthias C. Caro
The problem of characterizing GKLS-generators and CP-maps with an invariant appeared in different guises in the literature. We prove two unifying results which hold even for weakly…
Spectral Analysis of the Quantum Random Energy Model
Chokri Manai, Simone Warzel
The Quantum Random Energy Model (QREM) is a random matrix of Anderson-type which describes effects of a transversal magnetic field on Derrida's spin glass. The model exhibits a gla…
Ground state energy of the low density Bose gas with three-body interactions
Phan Thành Nam, Julien Ricaud, Arnaud Triay
We consider the low density Bose gas in the thermodynamic limit with a three-body interaction potential. We prove that the leading order of the ground state energy of the system is…
Transcendental properties of entropy-constrained sets
Vjosa Blakaj, Michael M. Wolf
For information-theoretic quantities with an asymptotic operational characterization, the question arises whether an alternative single-shot characterization exists, possibly inclu…
The spectral gap of a fractional quantum Hall system on a thin torus
Simone Warzel, Amanda Young
We study a fractional quantum Hall system with maximal filling in the thin torus limit. The corresponding Hamiltonian is a truncated version of Haldane's pseudopotential…
Cluster expansions: Necessary and sufficient convergence conditions
Sabine Jansen, Leonid Kolesnikov
We prove a new convergence condition for the activity expansion of correlation functions in equilibrium statistical mechanics with possibly negative pair potentials. For non-negati…
The condensation of a trapped dilute Bose gas with three-body interactions
Phan Thành Nam, Julien Ricaud, Arnaud Triay
We consider a trapped dilute gas of bosons in interacting via a three-body interaction potential of the form . In the limit $N\to \infty…
The de Almeida-Thouless Line in Hierarchical Quantum Spin Glasses
Chokri Manai, Simone Warzel
We determine explicitly and discuss in detail the effects of the joint presence of a longitudinal and a transversal (random) magnetic field on the phases of the Random Energy Model…
On the spectrum of the Kronig-Penney model in a constant electric field
Rupert L. Frank, Simon Larson
We are interested in the nature of the spectrum of the one-dimensional Schrödinger operator $$ - \frac{d^2}{dx^2}-Fx + \sum_{n \in \mathbb{Z}}g_n δ(x-n) \qquad\text{in } L^2(\mathb…
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…