98 citations · 979 across the 73 of their papers we have counts for
29 papers · 1 filter
A Jensen inequality for partial traces and applications to partially semiclassical limits
Eric A. Carlen, Rupert L. Frank, Simon Larson
We prove a matrix inequality for convex functions of a Hermitian matrix on a bipartite space. As an application we reprove and extend some theorems about eigenvalue asymptotics of…
Connecting the Deep Quench Obstacle Problem with Surface Diffusion via their Steady States
Eric A. Carlen, Amy Novick-Cohen, Lydia Peres Hari
In modeling phase transitions, it is useful to be able to connect diffuse interface descriptions of the dynamics with corresponding limiting sharp interface motions. In the case of…
Dynamics and Quantum Optimal Transport: Three lectures on quantum entropy and quantum Markov semigroups
Eric Carlen
This document presents the contents of three lectures delivered by the author at the Erdős Center School ``Optimal Transport on Quantum Structures'', Septemer 19-23, 2022 in Budape…
A trace inequality of Ando, Hiai and Okubo and a monotonicity property of the Golden-Thompson inequality
Eric A. Carlen, Elliott H. Lieb
The Golden-Thompson trace inequality which states that has proved to be very useful in quantum statistical mechanics. Golden used it to show that t…
Characterizing Schwarz maps by tracial inequalities
Eric A. Carlen, Alexander Müller-Hermes
Let be a linear map from the matrices to the matrices . It is known that is -positive if and only if for all $K\…
Analysis of a simple equation for the ground state of the Bose gas II: Monotonicity, Convexity and Condensate Fraction
Eric A. Carlen, Ian Jauslin, Elliott H. Lieb
In a recent paper we studied an equation (called the "simple equation") introduced by one of us in 1963 for an approximate correlation function associated to the ground state of an…