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This paper gives a theoretical framework for the work statistics of sudden quantum quenches in translation-invariant quadratic fermionic chains, linking them to traces of powers of Haar unitaries. Its main contribution is identifying when non-Gaussian fluctuations arise, specifically with many interaction terms, slowly decaying interactions, and Fisher-Hartwig singularities. It is fundamental many-body physics rather than a demonstrated device, so its relevance to quantum technology (e.g., quantum thermodynamics or energy-transfer control) is prospective.
Source coveringQuantum Zeitgeist
What this isA model's reading of the article and related coverage, written for aiqbench. Not the publisher's words.

Random matrix theory explains work done during quantum quenches

Quantum Zeitgeist3 min read

Sudden quantum quenches are analyzed using concepts from Haar unitaries, a key element of random matrix theory.

The work done during abrupt changes to quantum systems can be predicted using the mathematics of random matrices, according to new research. Scientists have found that the distribution of energy changes during these changes mirrors the statistics of traces of powers of Haar unitaries, which are random unitary matrices. For…

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