Shortcut to Adiabaticity for an Anisotropic Gas Containing Quantum Defects

TL;DR

This paper introduces a Shortcut To Adiabaticity protocol for anisotropic quantum gases with defects, enabling rapid state transitions while preserving defect structures, applicable to both quantum and classical gases.

Contribution

It develops a new class of exact scaling solutions for anisotropic traps, allowing fast, shape-preserving state transformations in quantum gases with defects.

Findings

The STA protocol works for 3D Fermi and 2D Bose gases with defects.

It preserves the shape of quantum defects during rapid state changes.

The method applies universally, including to classical gases.

Abstract

We present a Shortcut To Adiabaticity (STA) protocol applicable to 3D unitary Fermi gases and 2D weakly-interacting Bose gases containing defects such as vortices or solitons. Our protocol relies on a new class of exact scaling solutions in the presence of anisotropic time-dependent harmonic traps. It connects stationary states in initial and final traps having the same frequency ratios. The resulting scaling laws exhibit a universal form and also apply to the classical Boltzmann gas. The duration of the STA can be made very short so as to realize a quantum quench from one stationary state to another. When applied to an anisotropically trapped superfluid gas, the STA conserves the shape of the quantum defects hosted by the cloud, thereby acting like a perfect microscope, which sharply constrasts with their strong distortion occurring during the free expansion of the cloud.