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- W4229444805 abstract "Quantum chaos of many-body systems has been swiftly developing into a vibrant research area at the interface between various disciplines, ranging from statistical physics to condensed matter to quantum information and to cosmology. In quantum systems with a classical limit, advanced semiclassical methods provide the crucial link between classically chaotic dynamics and corresponding universal features at the quantum level. Recently, single-particle techniques dealing with ergodic wave interference in the usual semiclassical limit $hbar rightarrow 0$ have begun to be transformed into the field theoretical domain of N-particle systems in the analogous semiclassical limit $hbar_{eff} = 1/N rightarrow 0$, thereby accounting for genuine many-body quantum interference. This semiclassical many-body theory provides a unified framework for understanding random-matrix correlations of both single-particle and many-body quantum chaotic systems. Certain braided bundles of classical orbits, and of mean field modes, govern interference, respectively, and provide the key to the foundation of universality. Case studies presented include a many-body version of Gutzwiller's trace formula for the spectral density and out-of-time-order correlators along with brief remarks on where further progress may be forthcoming." @default.
- W4229444805 created "2022-05-11" @default.
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- W4229444805 date "2022-05-05" @default.
- W4229444805 modified "2023-10-17" @default.
- W4229444805 title "Semiclassical roots of universality in many-body quantum chaos" @default.
- W4229444805 doi "https://doi.org/10.48550/arxiv.2205.02867" @default.
- W4229444805 hasPublicationYear "2022" @default.
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