Universal scaling of work statistics in conformal field theory models

We systematically study the work statistics for quantum phase transition. For a quantum system approached by an anisotropic conformal field theory near the critical point, the driving protocol is divided into three different regimes for different quench rates, which reflects the competition between the frozen time and the quench timescale. In each regime, we find universal scaling behaviors in work statistics (after renormalization). It is shown that the critical exponents are determined by the space-time dimension d, the dynamical critical exponent z, the correlation-length exponent v, and the power-law protocols. These universal scalings in nonequilibrium processes may be found in quantum phase transition by measuring the Loschmidt echo or the Ramsey interferometry.

Automated summary

In this study, the work statistics for quantum phase transition were systematically investigated. Different regimes were identified for different quench rates, reflecting the competition between frozen time and quench timescale. Universal scaling behaviors in work statistics were found in each regime, with critical exponents determined by various factors including space-time dimension, dynamical critical exponent, and power-law protocols. These universal scalings in nonequilibrium processes may be observed in quantum phase transition through measuring the Loschmidt echo or the Ramsey interferometry.