Thermodynamics and density fluctuations in a bilayer Hubbard system of ultracold atoms
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916326546604032 |
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| author | Samland, J. Wurz, N. Gall, M. Köhl, M. |
| author_facet | Samland, J. Wurz, N. Gall, M. Köhl, M. |
| contents | We measure the equation of state in a bilayer Hubbard system for different ratios of the two tunnelling amplitudes $t_\perp /t$. From the equation of state we deduce the compressibility and observe its dependency on $t_\perp /t$. Moreover, we infer thermodynamic number fluctuations from the equation of state by employing the fluctuation-dissipation theorem. By comparing the thermodynamic with local density fluctuations, we find that non-local density fluctuations in our bilayer Hubbard system become more prominent for higher $t_\perp /t$ in the low filling regime. To validate our measurements, we compare them to Determinant Quantum Monte Carlo simulations of a bilayer Hubbard system with 6$\times$6 lattice sites per layer. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_11863 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thermodynamics and density fluctuations in a bilayer Hubbard system of ultracold atoms Samland, J. Wurz, N. Gall, M. Köhl, M. Quantum Gases We measure the equation of state in a bilayer Hubbard system for different ratios of the two tunnelling amplitudes $t_\perp /t$. From the equation of state we deduce the compressibility and observe its dependency on $t_\perp /t$. Moreover, we infer thermodynamic number fluctuations from the equation of state by employing the fluctuation-dissipation theorem. By comparing the thermodynamic with local density fluctuations, we find that non-local density fluctuations in our bilayer Hubbard system become more prominent for higher $t_\perp /t$ in the low filling regime. To validate our measurements, we compare them to Determinant Quantum Monte Carlo simulations of a bilayer Hubbard system with 6$\times$6 lattice sites per layer. |
| title | Thermodynamics and density fluctuations in a bilayer Hubbard system of ultracold atoms |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2407.11863 |