Symmetry breaking is routinely observed in isolated systems, where perturbations propagate through the system. For out-of-equilibrium systems, however, perturbations are predicted to diffuse; and this key signature of spontaneous symmetry breaking has now been observed in a polariton quantum fluid.
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References
Graham, R. & Haken, H. The quantum-fluctuations of the optical parametric oscillator. I. Z. Phys. 210, 276–302 (1968). A theoretical paper that links the threshold in light-emitting devices with second-order phase transitions.
Wouters, M. & Carusotto, I. Goldstone mode of optical parametric oscillators in planar semiconductor microcavities in the strong-coupling regime. Phys. Rev. A. 76, 043807 (2007). A theoretical paper that explains second-order phase transitions in semiconductor microcavities that are pumped near resonance.
Szymanska, M. H., Keeling, J. & Littlewood, P. B. Nonequilibrium quantum condensation in an incoherently pumped dissipative system. Phys. Rev. Lett. 96, 230602 (2006). A theoretical paper that explains second-order phase transitions in semiconductor microcavities that are pumped off resonance.
Claude, F. et al. High-resolution coherent probe spectroscopy of a polariton quantum fluid. Phys. Rev. Lett. 129, 103601 (2022). This paper presents the spectroscopic method used in our work to observe the BEC spectrum.
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This is a summary of: Claude, F. et al. Observation of the diffusive Nambu–Goldstone mode of a non-equilibrium phase transition. Nat. Phys. https://doi.org/10.1038/s41567-025-02902-z (2025).
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Perturbations in out-of-equilibrium quantum fluids diffuse rather than propagate. Nat. Phys. 21, 879–880 (2025). https://doi.org/10.1038/s41567-025-02913-w
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DOI: https://doi.org/10.1038/s41567-025-02913-w