General quantum-classical dynamics as measurement based feedback

2024/03/28 by Antoine Tilloy · 1 voice · 2 citations
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.21468/scipostphys.17.3.083

arxiv published 2024/03/28 · arxiv updated 2024/08/06

Abstract

This note derives the stochastic differential equations and partial differential equation of general hybrid quantum--classical dynamics from the theory of continuous measurement and general (non-Markovian) feedback. The advantage of this approach is an explicit parameterization, without additional positivity constraints. The construction also neatly separates the different effects: how the quantum influences the classical and how the classical influences the quantum. This modular presentation gives a better intuition of what to expect from hybrid dynamics, especially when used to construct possibly fundamental theories.

Cited by

• Gravity-mediated entanglement via infinite-dimensional systems
• Testing the quantum nature of gravity through interferometry

Discussions

• A quantum system monitored by a sequence of weak measurements obeys a stochastic equation of the form (taken from Eq.(30) of Ref. [1]): $$ \textrm{d}|\psi_t\rangle = \{ -(i/\hbar) H \textrm{d}t -k(X-\ [stackexchange, 3 points]