Approximate analytical solutions of a pair of coupled anharmonic oscillators

Nasir Alam, Swapan Mandal, Patrik Ohberg

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The Hamiltonian and the corresponding equations of motion involving the field operators of two quartic anharmonic oscillators indirectly coupled via a linear oscillator are constructed. The approximate analytical solutions of the coupled differential equations involving the non-commuting field operators are solved up to the second order in the anharmonic coupling. In the absence of nonlinearity these solutions are used to calculate the second order variances and hence the squeezing in pure and in mixed modes. The higher order quadrature squeezing and the amplitude squared squeezing of various field modes are also investigated where the squeezing in pure and in mixed modes are found to be suppressed. Moreover, the absence of a nonlinearity prohibits the higher order quadrature and higher ordered amplitude squeezing of the input coherent states. It is established that the mere coupling of two oscillators through a third one is unable to produce any squeezing effects of input coherent light, but the presence of a nonlinear interaction may provide squeezed states and other nonclassical phenomena.

Original languageEnglish
Article number045503
Number of pages7
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume48
Issue number4
DOIs
Publication statusPublished - 28 Feb 2015

Keywords

  • coupled anharmonic oscillators
  • squeezing effects
  • nano-mechanical oscillators
  • QUANTUM-STATISTICAL PROPERTIES
  • STIMULATED RAMAN PROCESSES
  • MULTIPLE-SCALE ANALYSIS
  • SQUEEZED STATES
  • LIGHT
  • FIELD
  • ENTANGLEMENT
  • SYSTEM

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