Eric A. Carlen

activity

20242026

collaborators

3 papers

math.FA2026

The structure of gauge invariant Gaussian quantum operations on finite Fermion systems

Eric A. Carlen

Let $H_{1}$ be a finite dimensional complex Hilbert space. Let $ψ \mapsto Z (ψ)$ be a canonical anti-commutation relations (CAR) field over $H_{1}$ acting irreducib…

quant-ph2025

Boundary-driven quantum systems near the Zeno limit: steady states and long-time behavior

Eric A. Carlen, David A. Huse, Joel L. Lebowitz

We study composite open quantum systems with a finite-dimensional state space $H_{A} \otimes H_{B}$ governed by a Lindblad equation $ρ^{'} (t) = L_{γ} ρ (t)$ wh…

math.AP2024

Stability estimate for the Lane-Emden inequality

Eric Carlen, Mathieu Lewin, Elliott H. Lieb +1

The Lane-Emden inequality controls $\iint_{R^{2 d}} ρ (x) ρ (y) ∣ x - y ∣^{- λ} d x d y$ in terms of the $L^{1}$ and $L^{p}$ norms of $ρ$ . We provide a remainder estimate for this inequa…