Laboratory quantum physics · Rare backward-looking trajectories do not reverse macroscopic time

Published: 21 October 2026

Ultracold atomic cloud with one dominant forward measurement trajectory and rare backward statistical paths
AI-assisted conceptual editorial illustration; not observational data.

Symmetric equations, asymmetric records

Many microscopic equations work under time reversal, yet measurements leave records and everyday processes do not spontaneously undo themselves. Quantum experiments can quantify this asymmetry trajectory by trajectory.

Weak measurement as a movie

A weak measurement extracts partial information while disturbing a system gradually. Repeated readouts form a trajectory. Researchers compare how probable that record is under a forward process and an appropriately defined reverse process.

Information defines an arrow

In experiments with ultracold atomic spins, the statistical weight favouring the forward record grows with measurement strength. The average arrow is positive even though rare individual trajectories can appear to run backward.

Fluctuation theorems

Small systems fluctuate enough to temporarily move against the typical direction of entropy production. Fluctuation relations predict how rapidly the probability of such events falls. They connect microscopic reversibility with macroscopic irreversibility without forbidding rare exceptions.

What is not reversed

A backward-looking quantum trajectory does not make memories unform or clocks run in reverse. It is a statistical statement about a carefully defined measurement record. The thermodynamic environment and stored information still matter.

Discussion question

If a microscopic trajectory can look time-reversed, why do you think human-scale experience never does?

Sources and further reading

Quantum measurement arrow of time in ultracold atoms ↗Reversing heat flow using quantum correlations ↗Arrow of time and its reversal on a quantum computer ↗
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