The Lotka–Volterra model describes self-organized predator-prey oscillations in systems far from equilibrium. A quantum analog of this dynamics has been realized on a tunable two-dimensional Rydberg atom array. Mean-field analysis and numerical simulations using the discrete truncated Wigner approximation for an open system demonstrate that Rydberg excitations undergo predator-prey cycles on microsecond timescales. Quantum coherence leads to spontaneous symmetry breaking, while long-range interactions stabilize global oscillations, counteracting desynchronization induced by quantum noise. It is shown that quantum jumps induce quasicycles whose amplitude scales inversely with the square root of the system size. The work extends the study of predator-prey models into the quantum realm and advances quantum simulation strategies that harness engineered many-body non-equilibrium effects.
In nature, everything is cyclical: hares multiplied — foxes thrived — hares ran out — foxes died off — and the cycle repeated. This 'predator-prey' model was invented a century ago, and it works everywhere: from chemistry to economics. Physicists have now brought this storyline to the atomic stage. They built a lattice of hydrogen atoms and inflated them to giant sizes — into a Rydberg state, named after Johannes Rydberg. These giant atoms sense each other from afar and act out the same drama: some states become 'predators,' others 'prey.' Quantum laws don't break but rather reinforce the cycle. A natural rhythm emerges, resistant to disturbances. Stray quantum jumps only add a light ripple that smoothes out when there are many atoms — like noise in a large orchestra.
This is how scientists harness non-equilibrium quantum effects for the ultrafast simulators of the future.
🎯 The predator-prey model is even applied to star systems, explaining fluctuations in cosmic ray populations.
🎬 In the novel 'Dune,' the desert planet's ecology follows cycles reminiscent of the Lotka-Volterra model.