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Updated: Sep 5, 2025
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
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Far-from-equilibrium universality in the two-dimensional Heisenberg model
Joaquin F Rodriguez-Nieva1, Asier Piñeiro Orioli2, Jamir Marino3
1Department of Physics, Stanford University, Stanford, CA 94305.
Summary
We discovered a universal prethermal regime in isolated 2D quantum Heisenberg magnets, showing self-similar spin correlations. This distinct behavior, unlike Bose gases, is testable in ultracold atom experiments.
Area of Science:
- Condensed Matter Physics
- Quantum Magnetism
- Non-equilibrium Dynamics
Background:
- Understanding quantum systems far from equilibrium is crucial.
- The two-dimensional quantum Heisenberg magnet serves as a key model system.
Purpose of the Study:
- To characterize the universal far-from-equilibrium dynamics of the 2D quantum Heisenberg magnet.
- To identify and analyze the prethermal regime and its scaling behavior.
Main Methods:
- Analytical derivation of spatial-temporal scaling exponents.
- Numerical simulations using phase space methods.
- Characterization of spin-spin correlations.
Main Results:
- Identification of a long-lived universal prethermal regime with self-similar spin correlations.
- Analytical and numerical agreement on scaling exponents.
- Demonstration of scaling exponent insensitivity to a wide range of initial conditions.
Conclusions:
- The 2D quantum Heisenberg magnet exhibits a distinct nonequilibrium universality class.
- This class differs from Bose gases and O(n) field theories due to gapless, symmetry-protected spin modes.
- Predictions are experimentally verifiable using ultracold atom simulators.
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