Excited-state quantum phase transition and the quantum-speed-limit time

Wang Q. Wang Q. Pérez-Bernal F.
Physical Review A
Doi 10.1103/PhysRevA.100.022118
Volumen 100
Citas: 10
© 2019 American Physical Society.We investigate the influence of an excited-state quantum phase transition on the quantum-speed-limit time of an open quantum system. The system consists of a central qubit coupled to a spin environment modeled by a Lipkin-Meshkov-Glick Hamiltonian. We show that when the coupling between qubit and environment is such that the latter is located at the critical energy of the excited-state quantum phase transition, the qubit evolution shows a remarkable slowdown, marked by an abrupt peak in the quantum-speed-limit time. Interestingly, this slowdown at the excited-state quantum phase transition critical point is induced by the singular behavior of the qubit decoherence rate, being independent of the Markovian nature of the environment.
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