Systematic analysis of relative phase extraction in one-dimensional Bose gases interferometry
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arXiv
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| Hauptverfasser: | , , , , , |
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| Format: | Preprint |
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2024
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| author | Murtadho, Taufiq Gluza, Marek Arifa, Khatee Zathul Erne, Sebastian Schmiedmayer, Jörg Ng, Nelly H. Y. |
| author_facet | Murtadho, Taufiq Gluza, Marek Arifa, Khatee Zathul Erne, Sebastian Schmiedmayer, Jörg Ng, Nelly H. Y. |
| contents | Spatially resolved relative phase measurement of two adjacent 1D Bose gases is enabled by matter-wave interference upon free expansion. However, longitudinal dynamics is typically ignored in the analysis of experimental data. We provide an analytical formula showing a correction to the readout of the relative phase due to longitudinal expansion and mixing with the common phase. We numerically assess the error propagation to the estimation of the gases' physical quantities such as correlation functions and temperature. Our work characterizes the reliability and robustness of interferometric measurements, directing us to the improvement of existing phase extraction methods necessary to observe new physical phenomena in cold-atomic quantum simulators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05528 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Systematic analysis of relative phase extraction in one-dimensional Bose gases interferometry Murtadho, Taufiq Gluza, Marek Arifa, Khatee Zathul Erne, Sebastian Schmiedmayer, Jörg Ng, Nelly H. Y. Quantum Gases Quantum Physics Spatially resolved relative phase measurement of two adjacent 1D Bose gases is enabled by matter-wave interference upon free expansion. However, longitudinal dynamics is typically ignored in the analysis of experimental data. We provide an analytical formula showing a correction to the readout of the relative phase due to longitudinal expansion and mixing with the common phase. We numerically assess the error propagation to the estimation of the gases' physical quantities such as correlation functions and temperature. Our work characterizes the reliability and robustness of interferometric measurements, directing us to the improvement of existing phase extraction methods necessary to observe new physical phenomena in cold-atomic quantum simulators. |
| title | Systematic analysis of relative phase extraction in one-dimensional Bose gases interferometry |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2403.05528 |