Spacetime-Localized Response in Quantum Critical Spin Systems: Insights from Holography
arxiv(2023)
摘要
According to the AdS/CFT correspondence, certain quantum many-body systems in
d-dimensions are equivalent to gravitational theories in (d+1)-dimensional
asymptotically AdS spacetimes. When a massless particle is sent from the AdS
boundary to the bulk curved spacetime, it reaches another point of the boundary
after a time lag. In the dual quantum system, it should appear as if
quasiparticles have been transferred between two separated points. We
theoretically demonstrate that this phenomenon, which we call
"spacetime-localized response," is actually observed in the dynamics of the
one-dimensional transverse-field Ising model near the quantum critical point.
This result suggests that, if we can realize a holographic spin system in a
laboratory, the experimental probing of the emergent extra-dimension is
possible by applying a designed stimulus to a quantum many-body system, which
is holographically equivalent to sending a massless particle through the
higher-dimensional curved bulk geometry. We also discuss possible experimental
realizations using Rydberg atoms in an optical tweezers array.
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