The Speed of Quantum Information Spreading in Chaotic Systems
Autor: | Shenglong Xu, Brian Swingle, Stefan Eccles, Phuc C. Nguyen, Josiah Couch |
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Rok vydání: | 2019 |
Předmět: |
Physics
High Energy Physics - Theory Quantum Physics Field (physics) Statistical Mechanics (cond-mat.stat-mech) Chaotic FOS: Physical sciences 02 engineering and technology Function (mathematics) Quantum entanglement General Relativity and Quantum Cosmology (gr-qc) 021001 nanoscience & nanotechnology 01 natural sciences Signal General Relativity and Quantum Cosmology High Energy Physics - Theory (hep-th) 0103 physical sciences Statistical physics Wormhole Quantum information 010306 general physics 0210 nano-technology Quantum Physics (quant-ph) Quantum Condensed Matter - Statistical Mechanics |
DOI: | 10.48550/arxiv.1908.06993 |
Popis: | We present a general theory of quantum information propagation in chaotic quantum many-body systems. The generic expectation in such systems is that quantum information does not propagate in localized form; instead, it tends to spread out and scramble into a form that is inaccessible to local measurements. To characterize this spreading, we define an information speed via a quench-type experiment and derive a general formula for it as a function of the entanglement density of the initial state. As the entanglement density varies from zero to one, the information speed varies from the entanglement speed to the butterfly speed. We verify that the formula holds both for a quantum chaotic spin chain and in field theories with an AdS/CFT gravity dual. For the second case, we study in detail the dynamics of entanglement in two-sided Vaidya-AdS-Reissner-Nordstrom black branes. We also show that, with an appropriate decoding process, quantum information can be construed as moving at the information speed, and, in the case of AdS/CFT, we show that a locally detectable signal propagates at the information speed in a spatially local variant of the traversable wormhole setup. Comment: Added subsection on spherical subregions, corrected typos, and updated references |
Databáze: | OpenAIRE |
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