Dynamical quantum indistinguishability

TL;DR

This paper investigates how quantum indistinguishability depends on measurement duration, proposing a criterion and experiment to observe a transition between states where indistinguishability influences quantum behavior and states where it does not.

Contribution

It introduces a quantitative criterion for dynamical quantum indistinguishability and proposes an experiment to observe the transition between its active and inactive regimes.

Findings

Quantum indistinguishability is a dynamical effect influenced by measurement time.

A viscoelastic function describes both long-time and short-time regimes.

An experimental transition between states with active and inactive indistinguishability is proposed.

Abstract

We observe that quantum indistinguishability is a dynamical effect dependent on measurement duration. We propose a quantitative criterion for observing indistinguishability in quantum fluids and its implications including quantum statistics and derive a viscoelastic function capable of describing both long-time and short-time regimes where indistinguishability and its implications are operative and inactive, respectively. On the basis of this discussion, we propose an experiment to observe a transition between two states where the implications of indistinguishability become inoperative, including a transition between statistics-active and statistics-inactive states.