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Exactly solvable models for atom-molecule Hamiltonians.

J Dukelsky1, G G Dussel, C Esebbag

  • 1Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain.

Physical Review Letters
|August 25, 2004
PubMed
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We introduce exactly solvable models for quantum systems interacting with a boson field. These models generalize the Jaynes-Cummings model and apply to systems of bosonic atoms and molecules.

Area of Science:

  • Quantum Optics
  • Many-Body Physics
  • Quantum Information Science

Background:

  • The Jaynes-Cummings model is a fundamental model in quantum optics describing light-matter interaction.
  • Generalizations are needed to explore more complex quantum systems and phenomena.

Purpose of the Study:

  • To present a new family of exactly solvable models generalizing the Jaynes-Cummings model.
  • To investigate the interaction between quasispins and a single boson field.

Main Methods:

  • Derivation from trigonometric Richardson-Gaudin models.
  • Replacement of a specific degree of freedom with an ideal boson.

Main Results:

  • A family of exactly solvable models is established.

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  • The models describe the interaction of SU(2) or SU(1,1) quasispins with a single boson field.

    • Conclusions:

    • The presented models offer new analytical tools for studying quantum systems.
    • Potential applications include systems of bosonic atoms and molecules.