221 citations · 439 across the 29 of their papers we have counts for
3 papers · 2 filters
Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equation
Volker Bach, Jean-Bernard Bru
We study a non-autonomous, non-linear evolution equation on the space of operators on a complex Hilbert space. We specify assumptions that ensure the global existence of its soluti…
Existence of Ground State Eigenvalues for the Spin-Boson Model with Critical Infrared Divergence and Multiscale Analysis
Volker Bach, Miguel Ballesteros, Martin Könenberg +1
A two-level atom coupled to the radiation field is studied. First principles in physics suggest that the coupling function, representing the interaction between the atom and the ra…
The time-dependent Hartree-Fock-Bogoliubov equations for Bosons
Volker Bach, Sébastien Breteaux, Thomas Chen +2
In this article, we use quasifree reduction to derive the time-dependent Hartree-Fock-Bogoliubov (HFB) equations describing the dynamics of quantum fluctuations around a Bose-Einst…