Uncovering Emergent Spacetime Supersymmetry with Rydberg Atom Arrays

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.

arXiv comment8 pages, 5 figures; published version

References in corpus (44)

• Entanglement Entropy and Quantum Field Theory
• Quantum information with Rydberg atoms
• Probing many-body dynamics on a 51-atom quantum simulator
• Measuring entanglement entropy through the interference of quantum many-body twins
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Logical quantum processor based on reconfigurable atom arrays
• The ITensor Software Library for Tensor Network Calculations
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Stimulated Raman adiabatic passage in physics, chemistry and beyond
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Quantum advantage in learning from experiments
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• ARC: An open-source library for calculating properties of alkali Rydberg atoms
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• Quantum simulation and computing with Rydberg-interacting qubits
• Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
• Emergent Space-time Supersymmetry at the Boundary of a Topological Phase
• Competing density-wave orders in a one-dimensional hard-boson model
• High-fidelity gates with mid-circuit erasure conversion in a metastable neutral atom qubit
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• String patterns in the doped Hubbard model
• Entangling two atoms of different isotopes via Rydberg blockade
• Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Emergence of supersymmetry at a critical point of a lattice model
• Erasure conversion in a high-fidelity Rydberg quantum simulator
• Mid-circuit correction of correlated phase errors using an array of spectator qubits
• Lattice supersymmetry and order-disorder coexistence in the tricritical Ising model
• A dual-species Rydberg array
• Simulating Wess-Zumino Supersymmetry Model in Optical Lattices
• Defect-free arbitrary-geometry assembly of mixed-species atom arrays
• Emergence of supersymmetric quantum electrodynamics
• Qubit regularization of asymptotic freedom
• Observation of Emergent Spacetime Supersymmetry at Superconducting Quantum Criticality
• Edge quantum criticality and emergent supersymmetry in topological phases
• Microscopic characterization of Ising conformal field theory in Rydberg chains
• Emergent Gauge Theory in Rydberg Atom Arrays
• Emergence of conformal symmetry in quantum spin chains: anti-periodic boundary conditions and supersymmetry
• From asymptotic freedom to $\theta$ vacua: Qubit embeddings of the O(3) nonlinear $\sigma$ model
• Coupled wire construction of a topological phase with chiral tricritical Ising edge modes
• Quantum simulation of the tricritical Ising model in tunable Josephson junction ladders
• Asymptotic Freedom at the Berezinskii-Kosterlitz-Thouless Transition without Fine-Tuning Using a Qubit Regularization

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• Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms
• Tricritical Kibble-Zurek scaling in Rydberg atom ladders
• Nonequilibrium Critical Dynamics with Emergent Supersymmetry
• Lattice Defects in Rydberg Atom Arrays
• Driven Critical Dynamics in Tricitical Point
• Random displacements in critical Rydberg atom arrays
• Spacetime Supersymmetry in the Truncated Lattice Schwinger Model
• Supersymmetry dynamics on Rydberg atom arrays
• Noisy Monitored Quantum Circuits
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality