Spatial compression of a particle state in a parabolic potential by spin measurements

TL;DR

This paper introduces a method to create highly localized spatial states in a 2D parabolic potential using spin measurements, enabling on-demand state engineering in spin-orbit coupled systems like Bose-Einstein condensates.

Contribution

It presents a novel measurement-based scheme for spatial state compression in spin-orbit coupled particles, adaptable to Bose-Einstein condensates.

Findings

Probability maxima form at lines or a lattice depending on parameters

The scheme produces localized pure states on demand

The method is applicable to spin-orbit coupled Bose-Einstein condensates

Abstract

We propose a scheme for engineering compressed spatial states in a two-dimensional parabolic potential with a spin-orbit coupling by selective spin measurements. This sequence of measurements results in a coordinate-dependent density matrix with probability maxima achieved at a set of lines or at a two dimensional lattice. The resultant probability density depends on the spin-orbit coupling and the potential parameters and allows one to obtain a broad class of localized pure states on demand. The proposed scheme can be realized in spin-orbit coupled Bose-Einstein condensates.