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arXiv · 2107.07976

Effective Scaling Approach to Frictionless Quantum Quenches in Trapped Bose Gases

Tang-You Huang·Michele Modugno·Xi Chen
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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.

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Tang-You Huang, Michele Modugno, Xi Chen. 2021-07-16. Effective Scaling Approach to Frictionless Quantum Quenches in Trapped Bose Gases. https://doi.org/10.1103/physreva.104.063313

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