Optimally controlled vibrational population transfer in a diatomic quantum system

Praveen Kumar, Sitansh Sharma, Harjinder Singh

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)157-180
Number of pages24
JournalJournal of Theoretical and Computational Chemistry
Volume8
Issue number1
DOIs
StatePublished - Feb 2009

Keywords

  • Conjugate gradient method
  • Iterative method
  • Optimal control theory

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