30 citations · 107 across the 13 of their papers we have counts for
15 papers
Stability of Matter Interacting with Classical Non-Abelian Gauge Fields
Robin Reuvers, Jan Philip Solovej, David Stuart
Stability of matter is the property that the ground state energy of charged quantum particles is bounded below by , with independent of . We ask whether this holds…
Minimal output entropy for the channels that add or remove a box of a Young diagram, and a Pauli principle for every permutation symmetry
Robin Reuvers
Two irreducible representations of whose Young diagrams differ by a single box are connected by four covariant quantum channels: the box can be removed or added, and one kee…
Selection rules for pinned and quasipinned occupation numbers with degeneracy
Robin Reuvers
When the natural occupation numbers of a fermionic state saturate a generalized Pauli constraint, the state obeys a selection rule: only those configurations of natural orbitals th…
Ground State Energy of Dilute Fermi Gases in 1D
Johannes Agerskov, Robin Reuvers, Jan Philip Solovej
We study the spin-J Fermi gas, interacting through a general repulsive 2-body potential, and prove asymptotics of the ground state energy in the dilute limit. The asymptotic behavi…
Ground state energy of dilute Bose gases in 1D
Johannes Agerskov, Robin Reuvers, Jan Philip Solovej
We study the ground state energy of a gas of 1D bosons with density , interacting through a general, repulsive 2-body potential with scattering length , in the dilute limit $…
Generalized Pauli constraints in large systems: the Pauli principle dominates
Robin Reuvers
Lately, there has been a renewed interest in fermionic 1-body reduced density matrices and their restrictions beyond the Pauli principle. These restrictions are usually quantified…
Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional
Søren Fournais, Marcin Napiórkowski, Robin Reuvers +1
We extend the analysis of the Bogoliubov free energy functional to two dimensions at very low temperatures. For sufficiently weak interactions, we prove two term asymptotics for th…
Quantum spin systems versus Schroedinger operators: A case study in spontaneous symmetry breaking
C. J. F. van de Ven, G. C. Groenenboom, R. Reuvers +1
Spontaneous symmetry breaking (SSB) is mathematically tied to some limit, but must physically occur, approximately, before the limit. Approximate SSB has been independently underst…
Lower bound on entanglement in subspaces defined by Young diagrams
Robin Reuvers
Eigenvalues of 1-particle reduced density matrices of -fermion states are upper bounded by , resulting in a lower bound on entanglement entropy. We generalize these bounds…
An algorithm to explore entanglement in small systems
Robin Reuvers
A quantum state's entanglement across a bipartite cut can be quantified with entanglement entropy or, more generally, Schmidt norms. Using only Schmidt decompositions, we present a…
Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation
Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej
Following an earlier calculation in 3D, we calculate the 2D critical temperature of a dilute, translation-invariant Bose gas using a variational formulation of the Bogoliubov appro…
The Bogoliubov free energy functional II. The dilute limit
Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej
We analyse the canonical Bogoliubov free energy functional at low temperatures in the dilute limit. We prove existence of a first order phase transition and, in the limit $a_0\to a…
The Bogoliubov free energy functional I. Existence of minimizers and phase diagram
Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej
The Bogoliubov free energy functional is analysed. The functional serves as a model of a translation invariant Bose gas at positive temperature. We prove the existence of minimizer…
Entropy and entanglement bounds for reduced density matrices of fermionic states
Eric A. Carlen, Elliott H. Lieb, Robin Reuvers
Unlike bosons, fermions always have a non-trivial entanglement. Intuitively, Slater determinantal states should be the least entangled states. To make this intuition precise we inv…
A Flea on Schroedinger's Cat
Klaas Landsman, Robin Reuvers
We propose a technical reformulation of the measurement problem of quantum mechanics, which is based on the postulate that the final state of a measurement is classical. Unlike the…