Radiation pressure and membrane dynamics in cavity optomechanics: interaction Hamiltonian and quantization


Özuygur M. C.

Turkish Journal of Physics, cilt.50, sa.4, ss.262-272, 2026 (ESCI, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 4
  • Basım Tarihi: 2026
  • Doi Numarası: 10.55730/1300-0101.2818
  • Dergi Adı: Turkish Journal of Physics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Compendex, TR DİZİN (ULAKBİM), Academic Search Ultimate (EBSCO), Engineering Source (EBSCO)
  • Sayfa Sayıları: ss.262-272
  • Anahtar Kelimeler: Cavity optomechanics, interaction Hamiltonian, membrane-in-the-middle, optomechanical coupling, quantum state transfer, radiation pressure
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

Cavity optomechanics explores the interaction between light confined in optical cavities and mechanical oscillators, primarily driven by radiation pressure forces. These interactions enable significant advances in precision measurements, quantum information processing, and tests of fundamental quantum mechanics. This paper presents a detailed analysis of membrane vibration and radiation pressure force within a cavity optomechanical system. The membrane’s equation of motion is derived, the radiation pressure force is evaluated within the Lorentz force formalism, and the corresponding interaction Hamiltonian is formulated. Quantization of the resulting Hamiltonian enables the investigation of quantum phenomena, including entanglement generation and quantum state transfer, and provides further insight into emerging applications and future research directions in cavity optomechanics.