학술논문
Treelike interactions and fast scrambling with cold atoms
Document Type
Working Paper
Author
Source
Phys. Rev. Lett. 123, 130601 (2019)
Subject
Language
Abstract
We propose an experimentally realizable quantum spin model that exhibits fast scrambling, based on non-local interactions which couple sites whose separation is a power of 2. By controlling the relative strengths of deterministic, non-random 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.
Comment: 6 pages, 4 figures (plus 7-page supplement with 4 figures)
Comment: 6 pages, 4 figures (plus 7-page supplement with 4 figures)