Shortcuts to Adiabaticity in Anisotropic Bose-Einstein Condensates

TL;DR

This paper develops shortcut to adiabaticity protocols for anisotropic Bose-Einstein condensates, enabling rapid, high-fidelity control of trap geometries and interaction strengths, improving performance of quantum engines.

Contribution

It introduces novel STA protocols for fast, robust control of BECs in anisotropic traps, applicable across interaction regimes, and demonstrates their effectiveness in quantum engine cycles.

Findings

Significant reduction in process time compared to adiabatic methods.

Enhanced power output of quantum engine cycles using STA.

Protocols remain effective across various interaction strengths.

Abstract

We propose shortcut to adiabaticity protocols for Bose-Einstein condensates trapped in generalized anisotropic harmonic traps in three dimensions. These protocols enable high-fidelity tuning of trap geometries on time scales much faster than those required for adiabatic processes and are robust across a wide range of interaction strengths, from weakly interacting regimes to the Thomas-Fermi limit. Using the same approach, we also design STA paths to rapidly drive interaction strengths in both isotropic and anisotropic traps. Comparisons with standard linear ramps of system parameters demonstrate significant improvements in performance. Finally, we apply these STA techniques to a unitary engine cycle with a BEC as the working medium. The STA methods significantly enhance the engine's power output without reducing efficiency and remain highly effective even after multiple consecutive cycles.