Toda potential in laser equations

G.L. Oppo, A. Politi

Research output: Contribution to journalArticlepeer-review

97 Citations (Scopus)


We show that the well known laser rate equations are fully equivalent to the motion in a Toda potential with intensity dependent losses. The dissipative terms are proportional to the square root ε of the ratio between the damping rate of the atomic population inversion and that of the field intensity. The limit case ε≪1 is extensively studied, finding analytical approximations for the period of the oscillations and the energy losses. Feasibility of adiabatic eliminations is also discussed.
Original languageEnglish
Pages (from-to)111-115
Number of pages5
JournalZeitschrift für Physik B Condensed Matter
Issue number1
Publication statusPublished - 1 Mar 1985


  • laser rate equations
  • intensity dependent losses
  • Toda potential


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