2 research outputs found
Characteristics Analysis and State Transfer for non-Markovian Open Quantum Systems
The weak-coupled two-level open quantum system described by non-Markovian
Time-convolution-less master equation is investigated in this paper. The
cut-off frequency, coupling constant and transition frequency, which impact on
the system's decay rate, coherence factor and purity, are investigated. The
appropriate parameters used in system simulation experiments are determined by
comparing analysis results of different values of parameters for the effects of
system performance. The control laws used to transfer the system states are
designed on the basis of the Lyapunov stability theorem. Numerical simulation
experiments are implemented under the MATLAB environment. The features of the
free evolution trajectory of the non-Markovian systems and the states transfer
from a pure state to a desired pure state under the action of the proposed
control laws are studied, respectively. By comparing the experimental results,
the effectiveness of the proposed quantum Lyapunov control method applied to
the state transfer in non-Markovian open quantum systems is verified.
Meanwhile, the influences of different control parameters and cut-off
frequencies on the system performance are analyzed.Comment: 17 pages, 10 figure
Modelling and Control of Quantum Measurement Induced Backaction in Double Quantum Dots
Quantum measurements disturb the quantum system being measured, and this is
known as measurement-induced backaction. In this work, we consider a double
quantum dot monitored by a nearby quantum point contact where the
measurement-induced backaction plays an important role. Taking advantage of the
quantum master equation approach, we calculate the tunnelling current, and
propose a simple feedbackcontrol law to realize and stabilize the tunnelling
current. Theoretical analysis and numerical simulations show that the feedback
control law can make the current quickly convergent to the desired value