Physical review. B./Physical review. B
Quantum criticality and universality in the stationary state of the long-range Kitaev model
Akash Mitra, Sanku Paul, Shashi C. L. Srivastava
Abstract
We investigate the signature of quantum criticality in the long-time stationary state of the long-range Kitaev chain by performing various quench protocols. In this model, the pairing interaction decays with distance according to a power law with exponent $\ensuremath{\alpha}$. Using quantum information-theoretic measures, such as mutual information and logarithmic negativity, we show that irrespective of the values of $\ensuremath{\alpha}$, critical-to-critical quench displays quantum criticality even in the stationary state. Remarkably, in the presence of long-range pairing interactions, where fermionic correlators decay algebraically even at noncritical points, the signature of quantum criticality persists in the stationary state. Furthermore, the effective central charge, calculated from both mutual information and logarithmic negativity of the stationary state following a critical-to-critical quench, agrees with the central charge of the corresponding ground states for both $\ensuremath{\alpha}=0$ and $\ensuremath{\alpha}=2$. Therefore, information of the universality class can be inferred from the stationary state.