Quantum corrections to the Josephson dynamics: a population-imbalance approach
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866910194695405568 |
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| author | Hideg, Oliver Salvatore, Sofia Salasnich, Luca |
| author_facet | Hideg, Oliver Salvatore, Sofia Salasnich, Luca |
| contents | We investigate quantum corrections to the Josephson dynamics of two weakly coupled Bose-Einstein condensates using the population imbalance as the sole dynamical variable. Starting from the two-variable action, we derive the imbalance-only Lagrangian with a position-dependent mass and quantize it via symmetric operator ordering. The leading quantum corrections to the classical potential and mass are computed via the one-loop quantum effective action, using a covariant background-field method that fully accounts for the coordinate dependence of the mass. This yields explicit expressions for the effective potential and the effective mass, from which we derive the quantum-corrected Josephson frequency. Numerical comparison with exact diagonalization of the two-site Bose-Hubbard model shows that the imbalance-only formulation outperforms the complementary phase-only approach in the regime of weak interactions, which is the natural domain of validity of the population-imbalance description. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_00571 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum corrections to the Josephson dynamics: a population-imbalance approach Hideg, Oliver Salvatore, Sofia Salasnich, Luca Quantum Gases Superconductivity We investigate quantum corrections to the Josephson dynamics of two weakly coupled Bose-Einstein condensates using the population imbalance as the sole dynamical variable. Starting from the two-variable action, we derive the imbalance-only Lagrangian with a position-dependent mass and quantize it via symmetric operator ordering. The leading quantum corrections to the classical potential and mass are computed via the one-loop quantum effective action, using a covariant background-field method that fully accounts for the coordinate dependence of the mass. This yields explicit expressions for the effective potential and the effective mass, from which we derive the quantum-corrected Josephson frequency. Numerical comparison with exact diagonalization of the two-site Bose-Hubbard model shows that the imbalance-only formulation outperforms the complementary phase-only approach in the regime of weak interactions, which is the natural domain of validity of the population-imbalance description. |
| title | Quantum corrections to the Josephson dynamics: a population-imbalance approach |
| topic | Quantum Gases Superconductivity |
| url | https://arxiv.org/abs/2605.00571 |