Effective Scaling Approach to Frictionless Quantum Quenches in Trapped Bose Gases

TL;DR

This paper develops an effective scaling method for frictionless quantum quenches in trapped one-dimensional Bose gases, enabling smooth trap frequency control for rapid, adiabatic-like state changes across interaction regimes.

Contribution

It introduces an auxiliary scaling equation that bridges noninteracting and Thomas-Fermi limits, facilitating engineered trap frequency protocols for frictionless quantum quenches.

Findings

Provides a new scaling approach for quantum quenches in Bose gases.

Enables design of shortcut-to-adiabaticity protocols for arbitrary interactions.

Can be extended to three-dimensional Bose gas systems.

Abstract

We work out the effective scaling approach to frictionless quantum quenches in a one-dimensional Bose gas trapped in a harmonic trap. The effective scaling approach produces an auxiliary equation for the scaling parameter interpolating between the noninteracting and the Thomas-Fermi limits. This allows us to implement a frictionless quench by engineering inversely the smooth trap frequency, as compared to the two-jump trajectory. Our result is beneficial to design the shortcut-to-adiabaticity expansion of trapped Bose gases for arbitrary values of interaction, and can be directly extended to the three-dimensional case.