Effective Scaling Approach to Frictionless Quantum Quenches in Trapped Bose Gases
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866917687816355840 |
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| author | Huang, Tang-You Modugno, Michele Chen, Xi |
| author_facet | Huang, Tang-You Modugno, Michele Chen, Xi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_07976 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Effective Scaling Approach to Frictionless Quantum Quenches in Trapped Bose Gases Huang, Tang-You Modugno, Michele Chen, Xi Quantum Gases 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. |
| title | Effective Scaling Approach to Frictionless Quantum Quenches in Trapped Bose Gases |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2107.07976 |