539 citations · 6.8k across the 160 of their papers we have counts for
6 papers · 2 filters
Monotonicity of a relative Rényi entropy
Rupert L. Frank, Elliott H. Lieb
We show that a recent definition of relative Rényi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of Müller-Lennert et al.
A Gaussian refinement of the Lieb-Robinson bound
Elliott H. Lieb, Anna Vershynina
This paper has been withdrawn by the authors because of an error in the proof. We can, however, prove a weaker spatial fall-off that is still superlinear, namely exp[-x log x].
Formation of stripes and slabs near the ferromagnetic transition
Alessandro Giuliani, Elliott H. Lieb, Robert Seiringer
We consider Ising models in d=2 and d=3 dimensions with nearest neighbor ferromagnetic and long-range antiferromagnetic interactions, the latter decaying as (distance)^(-p), p>2d,…
The entropy concept for non-equilibrium states
Elliott H. Lieb, Jakob Yngvason
In earlier work we presented a foundation for the Second Law of Classical Thermodynamics in terms of the Entropy Principle. More precisely, we provided an empirically accessible ax…
Equivalence of two definitions of the effective mass of a polaron
Elliott H. Lieb, Robert Seiringer
Two definitions of the effective mass of a particle interacting with a quantum field, such as a polaron, are considered and shown to be equal in models similar to the Froehlich pol…
Existence of ground states for negative ions at the binding threshold
Jacopo Bellazzini, Rupert L. Frank, Elliott H. Lieb +1
As the nuclear charge Z is continuously decreased an N-electron atom undergoes a binding-unbinding transition at some critical Z_c. We investigate whether the electrons remain boun…