Scrambling in two-dimensional conformal field theories with light and smeared operators

Journal Article · 20 May 2019 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.99.106010 · OSTI ID:1514733

Hampapura, Harsha R. ^[1]; Rolph, Andrew ^[2]; Stoica, Bogdan ^[3]

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1. Brandeis Univ., Waltham, MA (United States)
2. Brandeis Univ., Waltham, MA (United States); Univ. of California, Santa Barbara, CA (United States)
3. Brandeis Univ., Waltham, MA (United States); Brown Univ., Providence, RI (United States)

We study quantum chaos in two-dimensional conformal field theories, building on the work analyzing the out-of-time order thermal correlation functions using large-c Virasoro blocks. Our work investigates the contribution of light intermediate channels and smearing length scales to the four-point function and scrambling. Precise relations for how light intermediate channels increase the scrambling time and how smearing length scales smaller than the thermal length scale decrease the scrambling time are derived.

• Research Organization: Brandeis Univ., Waltham, MA (United States)
• Sponsoring Organization: USDOE Office of Science (SC); National Science Foundation (NSF)
• Grant/Contract Number: SC0009987; PHY-1748958
• OSTI ID: 1514733
• Alternate ID(s): OSTI ID: 1611291
• Journal Information: Physical Review. D., Vol. 99, Issue 10; ISSN 2470-0010
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English