Stochastic Schrödinger equation for a homodyne measurement setup of strongly correlated systems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912979408125952 |
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| author | Patra, Aniket Motzoi, Felix Mølmer, Klaus |
| author_facet | Patra, Aniket Motzoi, Felix Mølmer, Klaus |
| contents | Starting from an experimentally feasible atomic setup, we derive a stochastic Schrödinger equation that captures the homodyne detection record of a strongly interacting system. Applying the rotating wave approximation to the linear atom-light coupling, we arrive at a reduced equation formulated solely in terms of atomic operators. In the appropriate limit, this equation converges to that of Gaussian continuous quantum measurement -- revealing that the complexities of real-world detection can, under certain conditions, echo the elegance of idealized theory. To illustrate the utility of this framework, we numerically study the Bose-Hubbard model under continuous observation, showing that time-domain analysis of the measurement signal uncovers rich dynamical features, including quantum jumps, that are obscured in ensemble-averaged spectral data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12305 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic Schrödinger equation for a homodyne measurement setup of strongly correlated systems Patra, Aniket Motzoi, Felix Mølmer, Klaus Quantum Physics Starting from an experimentally feasible atomic setup, we derive a stochastic Schrödinger equation that captures the homodyne detection record of a strongly interacting system. Applying the rotating wave approximation to the linear atom-light coupling, we arrive at a reduced equation formulated solely in terms of atomic operators. In the appropriate limit, this equation converges to that of Gaussian continuous quantum measurement -- revealing that the complexities of real-world detection can, under certain conditions, echo the elegance of idealized theory. To illustrate the utility of this framework, we numerically study the Bose-Hubbard model under continuous observation, showing that time-domain analysis of the measurement signal uncovers rich dynamical features, including quantum jumps, that are obscured in ensemble-averaged spectral data. |
| title | Stochastic Schrödinger equation for a homodyne measurement setup of strongly correlated systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2502.12305 |