24 citations · 29 across the 4 of their papers we have counts for
4 papers
Existence of replica-symmetry breaking in quantum glasses
Hajo Leschke, Chokri Manai, Rainer Ruder +1
By controlling quantum fluctuations via the Falk-Bruch inequality we give the first rigorous argument for the existence of a spin-glass phase in the quantum Sherrington-Kirkpatrick…
The free energy of a quantum Sherrington-Kirkpatrick spin-glass model for weak disorder
Hajo Leschke, Sebastian Rothlauf, Rainer Ruder +1
We extend two rigorous results of Aizenman, Lebowitz, and Ruelle in their pioneering paper of 1987 on the Sherrington-Kirkpatrick spin-glass model without external magnetic field t…
Three useful bounds in quantum mechanics - easily obtained by Wiener integration
Hajo Leschke, Rainer Ruder
In a reasonably self-contained and explicit presentation we illustrate the efficiency of the Feynman-Kac formula for the rigorous derivation of three inequalities of interest in no…
Simple diamagnetic monotonicities for Schroedinger operators with inhomogeneous magnetic fields of constant direction
Hajo Leschke, Rainer Ruder, Simone Warzel
Under certain simplifying conditions we detect monotonicity properties of the ground-state energy and the canonical-equilibrium density matrix of a spinless charged particle in the…