3 citations · 6 across the 8 of their papers we have counts for
8 papers
The two-sided Bogoliubov inequality in von Neumann algebras conceptualizes the free energy--quantum correlations link
Benedikt M. Reible, Albert Much, Rainer Verch +2
The quantum-mechanical two-sided Bogoliubov inequality provides upper and lower bounds for the free energy required to separate a system of interacting particles into independent s…
Open quantum systems beyond equilibrium: Lindblad equation and path integral molecular dynamics
Benedikt M. Reible, Somayeh Ahmadkhani, Luigi Delle Site
The Lindblad equation determines the time evolution of the density operator of open quantum systems. While valid for any system size, its use is, in practice, restricted to prototy…
Physico-mathematical model of open quantum systems with varying particle number
Benedikt M. Reible, Luigi Delle Site
We derive the effective Hamiltonian for open quantum systems with varying particle number from first principles. Our derivation relies on the general postulates of quantum…
A fast and rigorous numerical tool to measure length-scale artifacts in molecular simulations
Benedikt M. Reible, Nils Liebreich, Carsten Hartmann +1
The two-sided Bogoliubov inequality for classical and quantum many-body systems is a theorem that provides rigorous bounds on the free-energy cost of partitioning a given system in…
Open quantum systems and the grand canonical ensemble
Benedikt M. Reible, Luigi Delle Site
The celebrated Lindblad equation governs the non-unitary time evolution of density operators used in the description of open quantum systems. It is usually derived from the von Neu…
Chemical potential and variable number of particles control the quantum state: Quantum oscillators as a showcase
Benedikt M. Reible, Ana Djurdjevac, Luigi Delle Site
Despite their simplicity, quantum harmonic oscillators are ubiquitous in the modeling of physical systems. They are able to capture universal properties that serve as reference for…
Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras
Benedikt M. Reible
This text studies, on the one hand, certain monotonicity properties of the Araki-Uhlmann relative entropy and, on the other hand, unbounded perturbation theory of KMS-states which…
Two-sided Bogoliubov inequality to estimate finite size effects in quantum molecular simulations
Benedikt Reible, Carsten Hartmann, Luigi Delle Site
We generalise the two-sided Bogoliubov inequality for classical particles from [L. Delle Site et al., J.Stat.Mech.Th.Exp. 083201 (2017)] to systems of quantum particles. As in the…