131 citations · 912 across the 45 of their papers we have counts for
5 papers · 1 filter
Perturbation Theory for Weak Measurements in Quantum Mechanics, I -- Systems with Finite-Dimensional State Space
M. Ballesteros, N. Crawford, M. Fraas +2
The quantum theory of indirect measurements in physical systems is studied. The example of an indirect measurement of an observable represented by a self-adjoint operator $\mathcal…
Quantization of conductance in gapped interacting systems
Sven Bachmann, Alex Bols, Wojciech De Roeck +1
We provide a short proof of the quantisation of the Hall conductance for gapped interacting quantum lattice systems on the two-dimensional torus. This is not new and should be seen…
Non-demolition measurements of observables with general spectra
M. Ballesteros, N. Crawford, M. Fraas +2
It has recently been established that, in a non-demolition measurement of an observable with a finite point spectrum, the density matrix of the system approaches an e…
The adiabatic theorem and linear response theory for extended quantum systems
Sven Bachmann, Wojciech De Roeck, Martin Fraas
The adiabatic theorem refers to a setup where an evolution equation contains a time-dependent parameter whose change is very slow, measured by a vanishing parameter . Under suit…
Invariant Measure for Quantum Trajectories
Tristan Benoist, Martin Fraas, Yan Pautrat +1
We study a class of Markov chains that model the evolution of a quantum system subject to repeated measurements. Each Markov chain in this class is defined by a measure on the spac…