148 citations
- Friedrich-Alexander-Universität Erlangen-NürnbergDE7 papers
- Ludwig-Maximilians-Universität MünchenDE7 papers
- Stockholm UniversitySE7 papers
- Ruhr University BochumDE6 papers
- University College LondonGB6 papers
- City University of Hong KongHK5 papers
- Consejo Superior de Investigaciones CientíficasES5 papers
- University of SalernoIT5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Grupo de Física MatemáticaPT4 papers
- Hong Kong Polytechnic UniversityHK4 papers
- Saarland UniversityDE4 papers
45 papers · 1 filter
On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model
Chiara Boccato, Joachim Kerner, Maximilian Pechmann
We study interacting Bose gases of dimensions at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between t…
Comparing the spectrum of Schrödinger operators on quantum graphs
Patrizio Bifulco, Joachim Kerner
We study Schrödinger operators on compact finite metric graphs subject to -coupling and standard boundary conditions. We compare the -th eigenvalues of those self-adjoint rea…
Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature
Hajo Leschke, Alexander V. Sobolev, Wolfgang Spitzer
We study the local and (bipartite) entanglement Rényi entropies of the free Fermi gas in multi-dimensional Euclidean space in thermal equilibrium. We prove positivit…
On the stability of the area law for the entanglement entropy of the Landau Hamiltonian
Paul Pfeiffer
We consider the two-dimensional ideal Fermi gas subject to a magnetic field which is perpendicular to the Euclidean plane and whose strength at $x\in\mathbb R^…
On the effect of repulsive interactions on Bose-Einstein condensation in the Luttinger-Sy model
Joachim Kerner, Maximilian Pechmann
In this paper we investigate the effect of repulsive pair interactions on Bose-Einstein condensation in a well-established random one-dimensional system known as the Luttinger-Sy m…
Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field
Hajo Leschke, Alexander V. Sobolev, Wolfgang Spitzer
We consider the ideal Fermi gas of indistinguishable particles without spin but with electric charge, confined to a Euclidean plane perpendicular to an external const…