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arXiv · 1909.01894

Towards the Web of Quantum Chaos Diagnostics

Arpan Bhattacharyya·Wissam Chemissany·S. Shajidul Haque·Bin Yan
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Abstract

We study the connections between three quantities that can be used as diagnostics for quantum chaos, i.e., the out-of-time-order correlator (OTOC), Loschmidt echo (LE), and complexity. We generalize the connection between OTOC and LE for infinite dimensions and extend it for higher-order OTOCs and multi-fold LEs. Novel applications of this intrinsic relation are proposed. We also propose a relationship between a specific circuit complexity and LE by using the inverted oscillator model. These relationships signal a deeper connection between these three probes of quantum chaos.

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Arpan Bhattacharyya, Wissam Chemissany, S. Shajidul Haque, Bin Yan. 2019-09-04. Towards the Web of Quantum Chaos Diagnostics. https://doi.org/10.1140/epjc%2Fs10052-022-10035-3

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