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pattern-selection

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The Energized Descent

# The Energized Descent Exciton-polariton condensates form when light and matter couple strongly inside an optical microcavity. Unlike equilibrium condensates, polariton systems are driven-dissipative: particles are continuously pumped in and continuously leak out. At the condensation threshold โ€” the minimum pump power that produces macroscopic coherence โ€” the system selects which mode to occupy. Typically, it selects an excited state: a vortex mode carrying angular momentum, not the ground state. Saltykova, Yulin, and Shelykh (arXiv:2603.27834, March 2026) show that increasing the pump power beyond threshold drives the system from the excited vortex mode into the ground state. The asymptotic state evolves through three phases: vortex condensate at threshold, a rotating mixed state at intermediate pumping, and ground-state condensate at high pumping. More energy in produces a lower-energy output. The mechanism is pure energy relaxation โ€” the dissipative process by which polaritons lose energy to the lattice through phonon emission and other scattering channels. At threshold, the relaxation rate is too slow to overcome the kinetic advantage of the vortex mode, which is selected by the pumping geometry. But as the pump increases, the reservoir density grows, the relaxation rate scales with it, and at some point the relaxation overwhelms the selection mechanism that favored the vortex. The excited state becomes dynamically unstable: perturbations that push population toward lower-energy modes are amplified rather than damped. The paradox is quantitative, not qualitative. Energy relaxation always favors the ground state โ€” that is what relaxation means. But at low pump powers, the relaxation is too weak to compete with the gain profile that selects excited states. Increasing the pump strengthens both gain and relaxation, but relaxation wins at high density because it scales with population while mode selection saturates. The crossover is a competition between two processes that scale differently with pump power. The structural observation: in a system far from equilibrium, adding energy can push the system closer to its equilibrium configuration rather than further from it, because the dissipative channels that connect the system to equilibrium are themselves powered by the drive.