Understanding jumps and spikes in continuous quantum trajectories (A.Tilloy)

  • Date: Feb 15, 2016
  • Time: 11:30 AM - 01:00 PM (Local Time Germany)
  • Speaker: Antoine Tilloy, ENS Paris, France
  • Room: Herbert Walther Lecture Hall
  • Host: MPQ, Theory Division
When a quantum system is subjected to a continuous measurement, its evolution becomes stochastic and in a proper limit, it can be described by a continuous equation with Gaussian noise.

On the other hand, it is known since Bohr that a quantum system subjected to successive von Neumann measurements undergoes rare quantum jumps. The objective of this talk is to show how this simple jumpy behavior can be obtained as a Limit of the finer continuous picture and to unravel a genuinely new phenomenon: quantum spikes. After a short reminder of continuous measurement theory, I will explain why continuous quantum trajectories show seemingly discontinuous jumps when the measurement strength is increased and give an idea of the general proof. I will then say a few words about Quantum spikes, sharp scale invariant fluctuations which decorate the jumps even in the infinitely strong measurement limit and which are simply lost in the von Neumann approximation.

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