6 papers
A universal time-of-arrival signature of Bose--Einstein condensation
Mathieu Beau, Timothey Szczepanski
We show that Bose--Einstein condensation produces a cusp in the time-of-arrival (TOA) statistics of a harmonically trapped gas released into free fall. In the semiclassical long ti…
Complementary Quantum Time Distributions from a Single Operational Protocol
Mathieu Beau
A single operational protocol based on free evolution and projective measurements yields inequivalent quantum time distributions through distinct post-processing procedures. We con…
Context-Dependent Time-Energy Uncertainty Relations from Projective Quantum Measurements
Mathieu Beau
We introduce a general framework for defining context-dependent time distributions in quantum systems using projective measurements. The time-of-flow (TF) distribution, derived fro…
Time-of-Flow Distributions in Discrete Quantum Systems: From Operational Protocols to Quantum Speed Limits
Mathieu Beau
We propose a general and experimentally accessible framework to quantify transition timing in discrete quantum systems via the time-of-flow (TF) distribution. Defined from the rate…
Quantum arrival times in free fall
Mathieu Beau, Timothey Szczepanski, Rafael Martellini +1
The probability distribution of a time measurement at position can be inferred from the probability distribution of a position measurement at time as given by t…
Time-of-arrival distributions for continuous quantum systems and application to quantum backflow
Mathieu Beau, Maximilien Barbier, Rafael Martellini +1
Using standard results from statistics, we show that for any continuous quantum system (Gaussian or otherwise) and any observable (position or otherwise), the distrib…