Perfect population transfer in pulse-driven quantum chains

Xin Chen, Yaoxiong Wang, Yunjian Ge, Junhui Shi, Herschel Rabitz, Feng Shuang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The quantum dynamics of a pulse-driven finite-dimensional quantum chain with only nearest-neighbor coupling is studied. We extend the concept of Rabi oscillations from two-level quantum systems to the multi-level quantum chains. The time-dependent quantum dynamics and solutions producing perfect population transfer are obtained for up to five-level quantum chains. The Gröbner basis analysis technique is used to generalize the results and get all analytical solutions for perfect population transfer. Explicit formulas for the solutions up to nine levels are presented. These results could be used to design control strategies for general finite-dimensional quantum systems.

Original languageEnglish (US)
Pages (from-to)847-860
Number of pages14
JournalJournal of Theoretical and Computational Chemistry
Volume9
Issue number5
DOIs
StatePublished - Oct 2010

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Physical and Theoretical Chemistry
  • Computational Theory and Mathematics

Keywords

  • Quantum control
  • population transfer
  • quantum chains

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