Fig. 2 | Nature Communications

Fig. 2

From: Understanding dynamics of coherent Ising machines through simulation of large-scale 2D Ising models

Fig. 2

Time evolution of the DOPOs during ground state search for the regular 2D lattice. a Snapshots of the time evolution of each DOPO’s in-phase quadrature amplitude ci at different pump amplitudes p = {1.1, 0.85, 0.76, 0.63} visualized in the regular lattice structure. Blue indicated the spin-down and yellow the spin-up configuration (colorbar in (b)). The DOPO amplitude grows from a squeezed vacuum state (1) to the saturation amplitude (2). As the amplitude grows, domains with distinct domain walls are formed. As the calculation continues, the domain walls start to move and domains start to shrink until eventually all domains have evaporated and the machine has reached the ground state. b, c Exemplary time evolution for the in-phase quadrature amplitude of each DOPO at p = 0.63 (b) and p = 0.85 (c). In (b), the ground state is eventually reached after around 800 cavity roundtrips. The red line in (c) indicates the point where evolution to the ground state prematurely stops and the domains remain frozen in their final configuration (i.e., freeze-out)

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