Generalized stochastic spin-wave theory for open quantum spin systems

• URL: http://arxiv.org/abs/2604.21574v1
• Date: Thu, 23 Apr 2026 11:53:46 GMT
• Title: Generalized stochastic spin-wave theory for open quantum spin systems
• Abstract summary: We propose a semiclassical framework for solving open quantum dynamics in driven-dissipative spin systems.<n>Our framework provides a powerful toolbox for the efficient description of non-equilibrium dynamics and many-body phases in spin systems.
• Score: 6.258703171051429
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose a semiclassical framework for solving open quantum dynamics in driven-dissipative spin systems. Our method consists of generalized spin-wave approximations tailored to describing quantum trajectories unravelled from the master equation, and generically applies to regimes beyond the reach of conventional spin-wave theories, including short-range interactions and local quantum jumps, enabling the efficient simulation of large-scale interacting spins. We illustrate the versatility of our framework by studying a variable-range driven-dissipative Ising model on a 2D lattice. When the dissipation acts along the drive axis, we find a continuous phase transition breaking the $\mathbb{Z}_2$ symmetry, and demonstrate that the interaction range, when tuned from fully-connected to nearest-neighbour, profoundly alters the universality class of the criticality. With the dissipation along the interaction axis, we show the emergence of a first-order transition. Demonstrated with both state-diffusion and quantum-jump types of trajectory dynamics, our framework provides a powerful toolbox for the efficient semiclassical description of non-equilibrium dynamics and many-body phases in spin systems.

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