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Uncovering Emergent Spacetime Supersymmetry with Rydberg Atom Arrays
Quantum Gases · Submitted 11 Jul 2024
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This hybrid protocol offers a new perspective for uncovering the hidden structure of emergent spacetime SUSY.
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The abstract, sentence by sentence
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 work, we propose to realize emergent spacetime SUSY using reconfigurable Rydberg atom arrays featuring two distinct sets of Rydberg excitations, tailored for implementation on dual-species platforms. 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 leverage the hybrid analog-digital nature of the Rydberg atom arrays, which allows for the simulation of a physical Hamiltonian and the execution of a digital quantum circuit on the same platform. This hybrid protocol offers a new perspective for uncovering the hidden structure of emergent spacetime SUSY.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In the zoo of emergent symmetries in quantum many-body physics, the previously unrealized emergent spacetime supersymmetry (SUSY) is particularly intriguing. | background 1.00 | 0.04 | 0.03 | asserted 0.97 |
| s1 | Although it was known that spacetime SUSY could emerge at the (1+1)d tricritical Ising transition, an experimental realization is still absent. | gap 0.96 | 0.03 | 0.03 | asserted 0.81 |
| s2 | In this work, we propose to realize emergent spacetime SUSY using reconfigurable Rydberg atom arrays featuring two distinct sets of Rydberg excitations, tailored for implementation on dual-species platforms. | contribution 0.84 | 0.55 | 0.28 | hedged possibility 0.58 |
| s3 | In such systems, the spacetime SUSY manifests itself in the respective correlation functions of a bosonic mode and its fermionic partner. | interpretation 0.44 | 0.17 | 0.12 | asserted 1.00 |
| s4 | However, the correlation function of the fermionic mode inevitably involves a string operator, making direct measurement challenging in the conventional setting. | gap 0.54 | 0.13 | 0.03 | asserted 1.00 |
| s5 | Here, we leverage the hybrid analog-digital nature of the Rydberg atom arrays, which allows for the simulation of a physical Hamiltonian and the execution of a digital quantum circuit on the same platform. | method 0.96 | 0.44 | 0.08 | asserted 0.95 |
| s6 | This hybrid protocol offers a new perspective for uncovering the hidden structure of emergent spacetime SUSY. | interpretation 0.90 | 0.34 | 0.19 | asserted 0.68 |
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The paper
Original 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 work, we propose to realize emergent spacetime SUSY using reconfigurable Rydberg atom arrays featuring two distinct sets of Rydberg excitations, tailored for implementation on dual-species platforms. 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 leverage the hybrid analog-digital nature of the Rydberg atom arrays, which allows for the simulation of a physical Hamiltonian and the execution of a digital quantum circuit on the same platform. This hybrid protocol offers a new perspective for uncovering the hidden structure of emergent spacetime SUSY.
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Rydberg atom array is a versatile and increasingly powerful platform in both the simulation of quantum phases of matter [ref] and quantum information processing [ref] .
2402.15376 · Introduction · 0.88
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