Conditional squeezing induced by a two-level system: a first-principles approach to QND readout
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918315070324736 |
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| author | Paing, Phoenix M. M. James, Daniel F. V. |
| author_facet | Paing, Phoenix M. M. James, Daniel F. V. |
| contents | We present a systematic Magnus expansion treatment of light-matter interaction beyond the Rotating Wave Approximation. We show that at the second order of Magnus series, the time-evolution operator acquires both energy-shifts and squeezing contributions. In addition to the energy shifts caused by vacuum and photon numbers, the second-order evolution operator contains a term that induces conditional squeezing of the field mode depending on the state of the atom. Such a term suggests a natural mechanism for phase-sensitive, quantum non-demolishing type measurements of squeezed light via homodyne detection. We also show that the second-order Magnus operator in a close SU(1,1) algebra, ensuring the exponentiation of the Magnus series yields a well-defined unitary evolution. By deriving squeezing directly from the Jaynes-Cummings Hamiltonian, our results clarify how energy shifts and $\hatσ$-dependent squeezing arise from an SU(1,1) structure, with direct implications for phase-sensitive and quantum nondemolition measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03506 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conditional squeezing induced by a two-level system: a first-principles approach to QND readout Paing, Phoenix M. M. James, Daniel F. V. Quantum Physics We present a systematic Magnus expansion treatment of light-matter interaction beyond the Rotating Wave Approximation. We show that at the second order of Magnus series, the time-evolution operator acquires both energy-shifts and squeezing contributions. In addition to the energy shifts caused by vacuum and photon numbers, the second-order evolution operator contains a term that induces conditional squeezing of the field mode depending on the state of the atom. Such a term suggests a natural mechanism for phase-sensitive, quantum non-demolishing type measurements of squeezed light via homodyne detection. We also show that the second-order Magnus operator in a close SU(1,1) algebra, ensuring the exponentiation of the Magnus series yields a well-defined unitary evolution. By deriving squeezing directly from the Jaynes-Cummings Hamiltonian, our results clarify how energy shifts and $\hatσ$-dependent squeezing arise from an SU(1,1) structure, with direct implications for phase-sensitive and quantum nondemolition measurements. |
| title | Conditional squeezing induced by a two-level system: a first-principles approach to QND readout |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2508.03506 |