Quantum

Systematic Truncated Wigner Approximation for Open Spin Systems Reveals Long-Range Order Far from Equilibrium

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Briefings

A new SU(2)-covariant truncated-Wigner framework maps open spin systems to stochastic dynamics, revealing that long-range interactions can stabilize extended Z2-ordered phases in 2D. Benchmarks confirm the method's accuracy against exact and tensor-network calculations for 400-site anisotropic XY lattices, identifying reentrant loss of order at strong coupling and extending the ordered region beyond alpha approx 3.5.

Key points

• The study introduces a continuous SU(2)-covariant truncated-Wigner framework that maps open spin systems to stochastic dynamics with one Bloch sphere per site.
• Benchmarks against exact and tensor-network calculations validate the method's description of non-equilibrium dynamics and steady states for 400-site two-dimensional dissipative anisotropic XY lattices.

Context

Existing many-body methods fail to determine when long-range interactions protect dissipative order in two dimensions. This work provides the first beyond-mean-field steady-state phase diagram for long-range interacting models, addressing a critical gap in understanding non-equilibrium dynamics.

Limitations

The evidence is limited to a single preprint version (arXiv:2610.27462v1) with no experimental validation or additional independent datasets. Results remain theoretical and rely on the authors' interpretation of the stochastic dynamics mapping.

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