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Two quantum-mechanical photocount formulas.

Hong-Yi Fan1, Li-Yun Hu

  • 1Department of Physics, Shanghai Jiao Tong University, Shanghai, China.

Optics Letters
|March 4, 2008
PubMed
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We derived two quantum-mechanical photocount formulas using the density operator. These formulas simplify photocount calculations when the coherent state mean value or Wigner function is known.

Area of Science:

  • Quantum Optics
  • Quantum Information Theory
  • Mathematical Physics

Background:

  • Calculating photocounts is fundamental in quantum optics for characterizing light fields.
  • Existing methods can be computationally intensive, especially for complex quantum states.
  • The density operator (rho) provides a complete description of a quantum light field's state.

Purpose of the Study:

  • To derive novel quantum-mechanical photocount formulas.
  • To provide convenient calculation methods when specific properties of the density operator are known.
  • To explore the utility of operator ordering techniques in quantum optics derivations.

Main Methods:

  • Derivation of two distinct photocount formulas.
  • Utilizing the known density operator (rho) of a light field.

Related Experiment Videos

  • Employing integration within antinormally ordered (Weyl-ordered) operator products.

    • Main Results:

    • A photocount formula involving the coherent state mean value of rho.
    • A second photocount formula utilizing the Wigner function of rho.
    • Demonstration of the convenience of these formulas for practical calculations.

    Conclusions:

    • The derived formulas offer efficient alternatives for photocount determination.
    • These methods enhance the practical application of quantum state characterization.
    • Operator ordering techniques are valuable tools in quantum optical derivations.