Dynamical quantum phase transitions in the quantum Potts chain

Abstract

We analyze the dynamics of the return amplitude following a sudden quench in the three-state quantum Potts chain. For quenches crossing the quantum critical point from the paramagnetic to the ferromagnetic phase, the corresponding rate function is non-analytic at critical times and behaves linearly in their vicinity. In particular, we find no indication of a link between the time evolution close to the critical times and the scaling properties of the quantum critical point in the Potts chain.

submitted to PRB

References in corpus (7)

• Real time evolution using the density matrix renormalization group
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Topological classification of dynamical phase transitions
• First order dynamical phase transitions
• Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain
• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain