178 citations · 981 across the 75 of their papers we have counts for
5 papers · 1 filter
Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits
M. Merkli, G. P. Berman, I. M. Sigal
We describe our recent results on the resonant perturbation theory of decoherence and relaxation for quantum system with many qubits. The approach represents a rigorous analysis of…
Abrikosov Lattice Solutions of the Ginzburg-Landau Equations
T. Tzaneteas, I. M. Sigal
Building on the earlier work of Odeh, Barany, Golubitsky, Turski and Lasher we give a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductiv…
Local Decay in Non-relativistic QED
T. Chen, J. Faupin, J. Froehlich +1
We prove the limiting absorption principle for a dressed electron at a fixed total momentum in the standard model of non-relativistic quantum electrodynamics. Our proof is based on…
The Hartree-von Neumann limit of many body dynamics
I. Anapolitanos, I. M. Sigal
In the mean-field regime, we prove convergence (with explicit bounds) of the many-body von Neumann dynamics with bounded interactions to the Hartree-von Neumann dynamics.
Spectral Renormalization Group and Local Decay in the Standard Model of the Non-relativistic Quantum Electrodynamics
J. Froehlich, M. Griesemer, I. M. Sigal
We prove the limiting absorption principle for the standard model of the non-relativistic quantum electrodynamics (QED) and for the Nelson model describing interactions of electron…