Uncovering Emergent Spacetime Supersymmetry with Rydberg Atom Arrays
arxiv(2024)
Abstract
In the zoo of emergent symmetries in quantum many-body physics, the
previously unrealized emergent spacetime supersymmetry (SUSY) is particularly
intriguing. Although it was known that spacetime SUSY could emerge at the
(1+1)d tricritical Ising transition, an experimental realization is still
absent. In this letter, we propose to realize the tricritical Ising transition
with Rydberg atom arrays, taking advantage of the reconfigurability of these
systems. In such systems, the spacetime SUSY manifests itself in the respective
correlation functions of a bosonic mode and its fermionic partner. However, the
correlation function of the fermionic mode inevitably involves a string
operator, making direct measurement challenging in the conventional setting.
Here, we utilize the analog–digital hybrid nature of the Rydberg atom arrays,
which can simulate a physical Hamiltonian and perform a digital quantum circuit
on the same platform, to measure the correlation function of the fermionic
mode. This hybridized protocol provides an experimentally feasible way to
reveal the hidden structure of the spacetime SUSY that emerges at the
tricritical Ising transition.
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