activity
20092020
most citedIndirect retrieval of information and the emergence of facts in quantum mechanics

5 citations · 15 across the 4 of their papers we have counts for

collaborators

13 papers

math-ph2020

The appearance of particle tracks in detectors

Miguel Ballesteros, Tristan Benoist, Martin Fraas +1

The phenomenon that a quantum particle propagating in a detector, such as a Wilson cloud chamber, leaves a track close to a classical trajectory is analyzed. We introduce an ideali…

math-ph2020

Exactness of linear response in the quantum Hall effect

Sven Bachmann, Wojciech De Roeck, Martin Fraas +1

In general, linear response theory expresses the relation between a driving and a physical system's response only to first order in perturbation theory. In the context of charge tr…

math-ph2020

On the absence of stationary currents

Sven Bachmann, Martin Fraas

We review proofs of a theorem of Bloch on the absence of macroscopic stationary currents in quantum systems. The standard proof shows that the current in 1D vanishes in the large v…

math-ph2019

Invariant measure for stochastic Schrödinger equations

Tristan Benoist, Martin Fraas, Yan Pautrat +1

Quantum trajectories are Markov processes that describe the time-evolution of a quantum system undergoing continuous indirect measurement. Mathematically, they are defined as solut…

math-ph2018

Note on linear response for interacting Hall insulators

Sven Bachmann, Alex Bols, Wojciech De Roeck +1

We relate explicitly the adiabatic curvature -- in flux space -- of an interacting Hall insulator with nondegenerate ground state to various linear response coefficients, in partic…

math-ph2018

A many-body index for quantum charge transport

Sven Bachmann, Alex Bols, Wojciech De Roeck +1

We propose an index for pairs of a unitary map and a clustering state on many-body quantum systems. We require the map to conserve an integer-valued charge and to leave the state,…