Diffraction-Unlimited Position Measurement of Ultracold Atoms in an Optical Lattice

TL;DR

This paper proposes a method for high-resolution, nondestructive position measurement of ultracold atoms in an optical lattice that surpasses the diffraction limit by tracking wavefunction collapse, with implications for imaging systems.

Contribution

It introduces a novel approach to surpass the diffraction limit in atom imaging by monitoring wavefunction collapse, highlighting differences between fermions and bosons.

Findings

Wavefunction collapse can be used for high-resolution imaging beyond diffraction limits.

Pauli exclusion accelerates wavefunction collapse in fermions.

Potential applications extend to other imaging systems.

Abstract

We consider a method of high-fidelity, spatially resolved position measurement of ultracold atoms in an optical lattice. We show that the atom-number distribution can be nondestructively determined at a spatial resolution beyond the diffraction limit by tracking the progressive evolution of the many-body wavefunction collapse into a Fock state. We predict that the Pauli exclusion principle accelerates the rate of wavefunction collapse of fermions in comparison with bosons. A possible application of our principle of surpassing the diffraction limit to other imaging systems is discussed.