Stochastic correction to the Maxwell-Bloch equations via the positive $P$ representation
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913424076701696 |
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| author | Stowasser, Johannes Hitzelhammer, Felix Schreiber, Michael A. Hohenester, Ulrich Slavcheva, Gabriela Haider, Michael Jirauschek, Christian |
| author_facet | Stowasser, Johannes Hitzelhammer, Felix Schreiber, Michael A. Hohenester, Ulrich Slavcheva, Gabriela Haider, Michael Jirauschek, Christian |
| contents | Focusing on two-level atoms, we apply the positive $P$ representation to a full-wave mixed bosonic and fermionic system of Jaynes-Cummings type and identify an advantageous degree of freedom in the choice of the involved nonorthogonal fermionic basis states. On this basis, we propose a stochastic correction to the Maxwell-Bloch equations by relating them to a stochastic differential equation on a nonclassical phase space, which captures the full second quantization dynamics of the system. This approach explores the connection between semiclassical and field-quantized treatments of light-matter interaction and can potentially be used for the simulation of nonclassical light sources while retaining the main advantages of a semiclassical model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00402 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic correction to the Maxwell-Bloch equations via the positive $P$ representation Stowasser, Johannes Hitzelhammer, Felix Schreiber, Michael A. Hohenester, Ulrich Slavcheva, Gabriela Haider, Michael Jirauschek, Christian Quantum Physics Focusing on two-level atoms, we apply the positive $P$ representation to a full-wave mixed bosonic and fermionic system of Jaynes-Cummings type and identify an advantageous degree of freedom in the choice of the involved nonorthogonal fermionic basis states. On this basis, we propose a stochastic correction to the Maxwell-Bloch equations by relating them to a stochastic differential equation on a nonclassical phase space, which captures the full second quantization dynamics of the system. This approach explores the connection between semiclassical and field-quantized treatments of light-matter interaction and can potentially be used for the simulation of nonclassical light sources while retaining the main advantages of a semiclassical model. |
| title | Stochastic correction to the Maxwell-Bloch equations via the positive $P$ representation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2404.00402 |