161 citations · 1.1k across the 71 of their papers we have counts for
35 papers · 1 filter
A sharp criterion for zero modes of the Dirac equation
Rupert L. Frank, Michael Loss
It is shown that is a necessary condition for the existence of a nontrivial solution of the Dirac equation $γ\cdot (-i\nabla -A)ψ= 0…
Spectral Gaps for Reversible Markov Processes with Chaotic Invariant Measures: The Kac Process with Hard Sphere Collisions in Three Dimensions
Eric A. Carlen, Maria C. Carvalho, Michael P. Loss
We develop a method for producing estimates on the spectral gaps of reversible Markov jump processes with chaotic invariant measures, and we apply it to prove the Kac conjecture fo…
Chaos, Ergodicity and Equilibria in a Quantum Kac Model
Eric A. Carlen, Maria C. Carvalho, Michael P. Loss
We introduce quantum versions of the Kac Master Equation and the Kac Boltzmann Equation. We study the steady states of each of these equations, and prove a propagation of chaos the…
Entropy decay for the Kac evolution
Federico Bonetto, Alissa Geisinger, Michael Loss +1
We consider solutions to the Kac master equation for initial conditions where particles are in a thermal equilibrium and particles are out of equilibrium. We show that…
Persistence of translational symmetry in the BCS model with radial pair interaction
Andreas Deuchert, Alissa Geisinger, Christian Hainzl +1
We consider the two-dimensional BCS functional with a radial pair interaction. We show that the translational symmetry is not broken in a certain temperature interval below the cri…
On a Quantum Entropy Power Inequality of Audenaert, Datta and Ozols
Eric A. Carlen, Elliott H. Lieb, Michael Loss
We give a short proof of a recent inequality of Audenaert, Datta and Ozols, and determine cases of equality.