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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.08416 |
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| _version_ | 1866917892721737728 |
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| author | Pérez-Cruz, Daniel Astrakharchik, Grigori E. Massignan, Pietro |
| author_facet | Pérez-Cruz, Daniel Astrakharchik, Grigori E. Massignan, Pietro |
| contents | The superfluid fraction $f$ of a quantum fluid is defined in terms of the response of the system to a weak and constant drag. Notably, Leggett long ago derived two simple expressions providing a rigorous upper bound and a heuristic lower bound for $f$. Here we study the superfluid fraction of bosonic gases in various two-dimensional potentials, such as regular optical lattices and disordered speckles, by solving the Gross-Pitaevskii equation and performing Diffusion Monte Carlo simulations. We show that under conditions relevant for most ultracold experiments the bounds proposed by Leggett provide a surprisingly narrow bracketing of the exact value of the superfluid fraction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08416 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superfluid fraction of interacting bosonic gases Pérez-Cruz, Daniel Astrakharchik, Grigori E. Massignan, Pietro Quantum Gases The superfluid fraction $f$ of a quantum fluid is defined in terms of the response of the system to a weak and constant drag. Notably, Leggett long ago derived two simple expressions providing a rigorous upper bound and a heuristic lower bound for $f$. Here we study the superfluid fraction of bosonic gases in various two-dimensional potentials, such as regular optical lattices and disordered speckles, by solving the Gross-Pitaevskii equation and performing Diffusion Monte Carlo simulations. We show that under conditions relevant for most ultracold experiments the bounds proposed by Leggett provide a surprisingly narrow bracketing of the exact value of the superfluid fraction. |
| title | Superfluid fraction of interacting bosonic gases |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2403.08416 |