TY - JOUR
T1 - Optimally controlled vibrational population transfer in a diatomic quantum system
AU - Kumar, Praveen
AU - Sharma, Sitansh
AU - Singh, Harjinder
N1 - Funding Information:
The authors thank Prof. Gabriel G. Balint-Kurti for several useful discussions. We also acknowledge the support from the Department of Science and Technology, Government of India, New Delhi; and from the Royal Society and British Council, India. S. Sharma wishes to thank CSIR, GOI for research fellowship.
PY - 2009/2
Y1 - 2009/2
N2 - A time-dependent formulation of quantum control is employed to investigate optimally controlled vibrational population transfer in a diatomic quantum system. The problem of finding the optimal laser field needed to achieve a specific quantum transition from an initial state to the desired target goal is formulated using an iterative method and the conjugate gradient method (CGM). The time-dependent Schrödinger equation is solved with interaction of laser radiation with matter included within a dipole approximation in the Hamiltonian. Appropriate boundary conditions are chosen for the evolution problem. The control objective is chosen as the value of transition probability from an initial state to a target state. A comparison is made between the results obtained using the iterative method and the CGM for optimization. Finally, quantum bits are encoded using the vibrational states of the diatomic in the regime of low-vibrational excitation.
AB - A time-dependent formulation of quantum control is employed to investigate optimally controlled vibrational population transfer in a diatomic quantum system. The problem of finding the optimal laser field needed to achieve a specific quantum transition from an initial state to the desired target goal is formulated using an iterative method and the conjugate gradient method (CGM). The time-dependent Schrödinger equation is solved with interaction of laser radiation with matter included within a dipole approximation in the Hamiltonian. Appropriate boundary conditions are chosen for the evolution problem. The control objective is chosen as the value of transition probability from an initial state to a target state. A comparison is made between the results obtained using the iterative method and the CGM for optimization. Finally, quantum bits are encoded using the vibrational states of the diatomic in the regime of low-vibrational excitation.
KW - Conjugate gradient method
KW - Iterative method
KW - Optimal control theory
UR - http://www.scopus.com/inward/record.url?scp=65249114166&partnerID=8YFLogxK
U2 - 10.1142/S0219633609004605
DO - 10.1142/S0219633609004605
M3 - Article
AN - SCOPUS:65249114166
SN - 0219-6336
VL - 8
SP - 157
EP - 180
JO - Journal of Theoretical and Computational Chemistry
JF - Journal of Theoretical and Computational Chemistry
IS - 1
ER -