Treelike Interactions and Fast Scrambling with Cold Atoms

Gregory Bentsen, Tomohiro Hashizume, Anton S. Buyskikh, Emily J. Davis, Andrew J. Daley, Steven S. Gubser, Monika Schleier-Smith

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We propose an experimentally realizable quantum spin model that exhibits fast scrambling, based on nonlocal interactions that couple sites whose separation is a power of 2. By controlling the relative strengths of deterministic, nonrandom couplings, we can continuously tune from the linear geometry of a nearest-neighbor spin chain to an ultrametric geometry in which the effective distance between spins is governed by their positions on a tree graph. The transition in geometry can be observed in quench dynamics, and is furthermore manifest in calculations of the entanglement entropy. Between the linear and treelike regimes, we find a peak in entanglement and exponentially fast spreading of quantum information across the system. Our proposed implementation, harnessing photon-mediated interactions among cold atoms in an optical cavity, offers a test case for experimentally observing the emergent geometry of a quantum many-body system.

Original languageEnglish (US)
Article number130601
JournalPhysical review letters
Volume123
Issue number13
DOIs
StatePublished - Sep 23 2019

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Treelike Interactions and Fast Scrambling with Cold Atoms'. Together they form a unique fingerprint.

  • Cite this

    Bentsen, G., Hashizume, T., Buyskikh, A. S., Davis, E. J., Daley, A. J., Gubser, S. S., & Schleier-Smith, M. (2019). Treelike Interactions and Fast Scrambling with Cold Atoms. Physical review letters, 123(13), [130601]. https://doi.org/10.1103/PhysRevLett.123.130601