Control of quantum dynamics: Non-Markovianity and the speedup of the open system evolution

¹ Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University - Qufu, 273165, China
² Beijing National Laboratory of Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences Beijing, 100190, China
³ Collaborative Innovation Center of Quantum Matter - Beijing, 100190, China

Received: 17 September 2016
Accepted: 21 November 2016

Abstract

We illustrate a scheme for implementing a non-Markovian speedup evolution of an open system weakly interacting with a controllable environment: the coupled qubit-array. By controlling the environment, for instance by choosing a judicious nearest-neighbor excitation quanta hopping strength among the qubit-array or by changing the number of qubits coupled to the quantum system, two dynamical crossovers from Markovian to non-Markovian and from no-speedup to speedup are achieved in the weak system-environment coupling regime. For the weaker system-environment coupling, the larger hopping strength (or the larger qubits number) should be tuned to drive the non-Markovian speedup evolution. Particularly, the controllable non-Markovian dynamics is the intrinsic physical reason for the speedup evolution of a quantum system.