The Zel'dovich effect in harmonically trapped, ultra-cold quantum gases

TL;DR

This paper explores the Zel'dovich effect in ultra-cold quantum gases, proposing that current experimental methods could enable direct observation and revealing a new scaling symmetry in energy level rearrangements.

Contribution

It introduces the potential for observing the Zel'dovich effect in cold-atom experiments and uncovers a previously unnoticed scaling symmetry in the energy levels.

Findings

Potential for direct observation of the Zel'dovich effect in cold-atom experiments

Discovery of a new scaling symmetry in level rearrangements

Implication for experimental quantum physics research

Abstract

We investigate the Zel'dovich effect in the context of ultra-cold, harmonically trapped quantum gases. We suggest that currently available experimental techniques in cold-atoms research offer an exciting opportunity for a direct observation of the Zel'dovich effect without the difficulties imposed by conventional condensed matter and nuclear physics studies. We also demonstrate an interesting scaling symmetry in the level rearragements which has heretofore gone unnoticed.