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Uncovering Emergent Spacetime Supersymmetry with Rydberg Atom Arrays.

Chengshu Li1, Shang Liu2, Hanteng Wang1

  • 1Institute for Advanced Study, <a href="https://ror.org/03cve4549">Tsinghua University</a>, Beijing 100084, China.

Physical Review Letters
|December 13, 2024
PubMed
Summary
This summary is machine-generated.

Researchers propose realizing emergent spacetime supersymmetry (SUSY) in reconfigurable Rydberg atom arrays. This novel approach utilizes hybrid analog-digital quantum simulation to overcome experimental challenges in observing this quantum many-body physics phenomenon.

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Area of Science:

  • Quantum Many-Body Physics
  • Quantum Simulation
  • Condensed Matter Theory

Background:

  • Emergent spacetime supersymmetry (SUSY) is a theoretically predicted phenomenon in quantum many-body systems.
  • Experimental realization of emergent spacetime SUSY has remained elusive, despite its known emergence at the (1+1)d tricritical Ising transition.

Purpose of the Study:

  • To propose a novel experimental platform for realizing emergent spacetime supersymmetry.
  • To address the challenges in experimentally detecting spacetime SUSY, particularly the measurement of fermionic correlation functions involving string operators.

Main Methods:

  • Utilizing reconfigurable Rydberg atom arrays with two distinct sets of Rydberg excitations on dual-species platforms.
  • Leveraging the hybrid analog-digital nature of Rydberg atom arrays for Hamiltonian simulation and digital quantum circuit execution.
  • Analyzing the correlation functions of bosonic and fermionic modes to reveal emergent spacetime SUSY.

Main Results:

  • A concrete proposal for experimental realization of emergent spacetime SUSY is presented.
  • The proposed hybrid protocol facilitates the simulation of physical Hamiltonians and digital quantum circuits.
  • A new perspective for uncovering the hidden structure of emergent spacetime SUSY is offered through the hybrid approach.

Conclusions:

  • Reconfigurable Rydberg atom arrays provide a promising platform for experimentally realizing emergent spacetime supersymmetry.
  • The hybrid analog-digital approach offers a viable solution to overcome measurement challenges associated with string operators.
  • This work opens new avenues for exploring emergent symmetries in quantum many-body systems.