Unraveling-Dependent Metastability in Monitored Quantum Systems and Associative Memories
- URL: http://arxiv.org/abs/2609.06056v1
- Date: Sat, 05 Sep 2026 12:26:06 GMT
- Title: Unraveling-Dependent Metastability in Monitored Quantum Systems and Associative Memories
- Abstract summary: Metastability in open quantum systems is usually inferred from spectral separation in the Liouvillian.<n>We show that conditioned realizations of the same unconditional dynamics can bypass, transiently access, or operationally preserve a metastable memory.
- Score: 0.5161531917413708
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Metastability in open quantum systems is usually inferred from spectral separation in the Liouvillian, which governs unconditional, ensemble-averaged dynamics. We show that this diagnosis is incomplete at the level of individual quantum trajectories: conditioned realizations of the same unconditional dynamics can bypass, transiently access, or operationally preserve a metastable memory, depending on the monitored channel and the observed record. We demonstrate these mechanisms in a driven-dissipative nonlinear oscillator realizing a quantum associative memory, by comparing spectra, target fidelities, and phase-space distributions. The non-Hermitian dynamics obtained by post-selecting on the absence of detected events supports metastable retrieval, but with a distinct long-time fate: normalization selects the least-decaying mode of the non-Hermitian spectrum rather than the addressed memory branch. In contrast, stochastic jump trajectories can preserve retrieval over extended times when the post-measurement update remains compatible with the coherent memory structure. Thus trajectory-level metastability is not determined by the averaged generator alone; it requires compatibility between the monitored channel, the measurement record, and the metastable manifold.
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