127 citations · 131 across the 3 of their papers we have counts for
6 papers
An Adiabatic Theorem for the Gross-Pitaevskii Equation
Zhou Gang, Philip Grech
We prove an adiabatic theorem for the non-autonomous Gross-Pitaevskii equation in the case of a weak trap. More precisely, we assume that the external potential decays suitably at…
The Spectral Structure of the Electronic Black Box Hamiltonian
Philip Grech, Vojkan Jakšić, Matthias Westrich
We give results on the absence of singular continuous spectrum of the one-particle Hamiltonian underlying the electronic black box model.
The excitation spectrum for weakly interacting bosons in a trap
Philip Grech, Robert Seiringer
We investigate the low-energy excitation spectrum of a Bose gas confined in a trap, with weak long-range repulsive interactions. In particular, we prove that the spectrum can be de…
Adiabatic theorems for generators of contracting evolutions
J. E. Avron, M. Fraas, G. M. Graf +1
We develop an adiabatic theory for generators of contracting evolution on Banach spaces. This provides a uniform framework for a host of adiabatic theorems ranging from unitary qua…
Optimal parametrizations of adiabatic paths
J. E. Avron, M. Fraas, G. M. Graf +1
The parametrization of adiabatic paths is optimal when tunneling is minimized. Hamiltonian evolutions do not have unique optimizers. However, dephasing Lindblad evolutions do. The…
Landau-Zener tunneling for dephasing Lindblad evolutions
J. E. Avron, M. Fraas, G. M. Graf +1
We derive an analog of the Landau-Zener adiabatic tunneling formula for an open, two-level system coupled to a memoryless, dephasing bath. The derivation rests on a geometric view…