Cavity QED treatment of interactions between a metal nanoparticle and a dipole emitter

Journal Article · Fri Oct 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.043845· OSTI ID:21457010

Waks, Edo; Sridharan, Deepak ^[1]

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1. Institute for Research in Electronics and Applied Physics, Joint Quantum Institute, University of Maryland College Park, Maryland 20742 (United States)

We derive a full quantum optical model of interactions between a dipole and a metal nanoparticle. The electromagnetic field of the nanoparticle is quantized from the time-harmonic solution to the wave equation. We derive an analytical expression for the dipole-field coupling strength and the Purcell factor. The semiclassical theory, derived from the Maxwell-Bloch equations, is compared to the full quantum calculations based on numerical solution of the master equation. The metal nanoparticle-dipole system is found to be in an interesting regime of cavity quantum electrodynamics where dipole decay is dominated by dephasing, but the dipole-field coupling strength is still strong enough to achieve large cooperativity. In the presence of large dephasing, we show that simple semiclassical theory fails to predict the correct scattered field spectrum even in the weak-field limit. We reconcile this discrepancy by applying the random-phase-jump approach to the cavity photon number instead of the dipole operator. We also investigate the quantum fluctuations of the scattered field and show that they are significantly dependent on the dephasing rate.

• OSTI ID: 21457010
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
BLOCH EQUATIONS
BOSONS
CALCULATION METHODS
CAVITY RESONATORS
COUPLING
DIFFERENTIAL EQUATIONS
DIPOLES
ELECTRODYNAMICS
ELECTROMAGNETIC FIELDS
ELECTRONIC EQUIPMENT
ELEMENTARY PARTICLES
ELEMENTS
EQUATIONS
EQUIPMENT
FIELD THEORIES
FLUCTUATIONS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
METALS
MULTIPOLES
NANOSTRUCTURES
NUMERICAL SOLUTION
OPTICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLES
PHOTONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RANDOMNESS
RESONATORS
SEMICLASSICAL APPROXIMATION
VARIATIONS
WAVE EQUATIONS