期刊
PHYSICAL REVIEW LETTERS
卷 123, 期 13, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.123.130601
关键词
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资金
- DOE Office of Science, Office of High Energy Physics
- Research Corporation Cottrell Scholar Program
- NSF [PHY-1753021]
- Simons Foundation
- EPSRC Programme Grant DesOEQ [EP/P009565/1]
- EOARD via AFOSR [FA9550-18-1-0064]
- NSF GRFP
- Hertz Foundation
- SU2P
- EPSRC [EP/P009565/1] Funding Source: UKRI
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.
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