Framework of dynamical transitions from long-range to short-range quantum systems

Understand

A quantum many-body system undergoes phase transitions of distinct species with variations of local and global parameters.

• We propose a framework in which a dynamical quantity can change its behavior for quenches across global (coarse-grained criterion) or local system parameters (fine-grained criterion), revealing the global transition points.
• We illustrate our technique by employing the long-range extended Ising model in the presence of a transverse magnetic field.
• We report that by distinguishing between algebraic and exponential scaling of the total correlation in the steady state, one can identify the first transition point that conventional indicators such as the rate function fail to detect.