Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions

Understand

We study the spreading of information in a wide class of quantum systems, with variable-range interactions.

• We show that, after a quench, it generally features a double structure, whose scaling laws are related to a set of universal microscopic exponents that we determine.
• When the system supports excitations with a finite maximum velocity, the spreading shows a twofold ballistic behavior.
• While the correlation edge spreads with a velocity equal to twice the maximum group velocity, the dominant correlation maxima propagate with a different velocity that we derive.