Just as in the well-known children's story of Goldilocks and the Three Bears, something good happens when things are done in moderation, rather than in extremes. Now a new study has translated "not too hot or too cold, just right" to the quantum world and the generation of quantum entanglement - the binding within and between matter and light -and suggests that the universe started "neither too fast nor too slow."

By studying a system that couples matter and light together, like the universe itself, researchers have now found that crossing a quantum phase transition at intermediate speeds generates the richest, most complex structure. Such structure resembles "defects" in an otherwise smooth and empty space. The findings are published in Physical Review A, the American Physical Society's main journal.

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