Continuous collapse models on finite dimensional Hilbert spaces

TL;DR

This paper reviews recent developments in continuous collapse models on finite-dimensional Hilbert spaces, focusing on pure collapse dynamics, quantum jumps, and the phenomenon of quantum spikes.

Contribution

It provides a comprehensive review of the interplay between collapse and unitary dynamics, highlighting new insights into quantum jumps and spikes.

Findings

Quantum jumps emerge from continuous stochastic evolution when collapse dominates.

Quantum spikes are an unexpected feature in the collapse dynamics.

The study clarifies the competition between collapse and Lindbladian dynamics.

Abstract

We review recent results on the dynamics of continuous collapse models (or equivalently continuous measurement models) on finite dimensional Hilbert spaces. We mainly study the pure collapse dynamics, and the competition between collapse and unitary or Lindbladian dynamics. We discuss the ubiquitous emergence of quantum jumps from a continuous stochastic evolution when collapse dominates, and expand on a finer unexpected feature, the quantum spikes.