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Extended XY Model for Spinor Polariton Simulators
A Kudlis1, D Novokreschenov2,3, I A Shelykh1
1University of Iceland, Science Institute, Dunhagi 3, IS-107 Reykjavik, Iceland.
Physical Review Letters
|September 26, 2025
Summary
Spinor polariton condensates realize the XY model, introducing polarization to modify ground states. This research formulates a spin Hamiltonian coupling phase and polarization dynamics in coupled condensates.
Area of Science:
- Statistical mechanics
- Condensed matter physics
- Quantum optics
Background:
- The lattice XY model is a universal statistical mechanics model.
- It is realized in various optical and condensed matter systems.
- Tunnel-coupled spinor polariton condensates offer a novel realization.
Purpose of the Study:
- To investigate the impact of polarization on the XY model in spinor polariton condensates.
- To formulate a classical spin Hamiltonian for coupled condensates.
- To explore differences between scalar and spinor cases and potential phenomena.
Main Methods:
- Formulation of a classical spin Hamiltonian.
- Analysis of phase and polarization dynamics.
- Consideration of specific geometric configurations.
Main Results:
- The polarization degree of freedom modifies the ground state structure.
- The classical spin Hamiltonian couples phase and polarization dynamics.
- Principal differences are observed between scalar and spinor systems.
Conclusions:
- Polarization significantly alters the behavior of the XY model in polariton condensates.
- The developed Hamiltonian provides a framework for studying these systems.
- The study highlights unique phenomena like a spin Meissner effect analog.
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