Quantum

Non-Hermitian effective dynamics from post-selection protocols

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 04/11/2026, 05:13:24 UTC.

Briefings

A 2026 arXiv preprint argues that Feshbach projection, Lindblad master equations, and ancilla approaches can all be reformulated using the Kraus map formalism, provided post-selection protocols are applied. This work establishes that non-Hermitian time evolution occurs under these conditions and clarifies that traditional thermodynamic equilibrium does not apply to general non-Hermitian systems, defining stationary states instead as non-equilibrium steady states.

Key points

• The Feshbach projection, Lindblad master equation, and ancilla approach are all reformulated using the Kraus map formalism when post-selection protocols are enforced.
• Non-Hermitian time evolution occurs in quantum systems under this formalism, and stationary states are characterized as non-equilibrium steady states rather than thermal equilibrium states.

Context

This research addresses ongoing debates about effective non-Hermitian dynamics in quantum systems, specifically how to calculate expectation values and whether thermal equilibrium states exist in such systems.

Limitations

The evidence is an arXiv preprint from November 2026, so the findings represent a hypothesis or draft rather than finalized results. The study focuses on specific formalisms and does not provide experimental data or broader physical implications beyond the theoretical framework.

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