Quantum statistical properties of ideal phase sensitive receivers

Louisell, W. H.; Walker, L. R.; Gordon, James

doi:10.1007/978-1-349-00447-8_43

Cited by 872 publications

(1,614 citation statements)

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“…The canonical quantization of the electromagnetic field that employs the mode expansion into a set of harmonic oscillators [25,26] yields the following equal-time commutation relation between these field operators…”

Section: Quantized Electromagnetic Fieldmentioning

confidence: 99%

Beams of electromagnetic radiation carrying angular momentum: The Riemann–Silberstein vector and the classical–quantum correspondence

Bialynicki‐Birula

Bialynicka‐Birula

2006

Optics Communications

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All beams of electromagnetic radiation are made of photons. Therefore, it is important to find a precise relationship between the classical properties of the beam and the quantum characteristics of the photons that make a particular beam. It is shown that this relationship is best expressed in terms of the Riemann-Silberstein vector -a complex combination of the electric and magnetic field vectors -that plays the role of the photon wave function. The Whittaker representation of this vector in terms of a single complex function satisfying the wave equation greatly simplifies the analysis. Bessel beams, exact Laguerre-Gauss beams, and other related beams of electromagnetic radiation can be described in a unified fashion. The appropriate photon quantum numbers for these beams are identified. Special emphasis is put on the angular momentum of a single photon and its connection with the angular momentum of the beam.

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Section: Quantized Electromagnetic Fieldmentioning

confidence: 99%

Beams of electromagnetic radiation carrying angular momentum: The Riemann–Silberstein vector and the classical–quantum correspondence

Bialynicki‐Birula

Bialynicka‐Birula

2006

Optics Communications

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“…[7], the harmonically driven double-well potential has been investigated numerically in presence of dissipation. For that purpose, a master equation for the reduced density matrix has been derived on the basis of the standard Born-Markov assumption [46]. Subsequently, an analytical Floquet approach is used to derive the master equation.…”

Section: B Prior Theoretical Approachesmentioning

confidence: 99%

Strong Coupling Theory for Tunneling and Vibrational Relaxation in Driven Bistable Systems

2001

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A study of the dynamics of a tunneling particle in a driven bistable potential which is moderatelyto-strongly coupled to a bath is presented. Upon restricting the system dynamics to the Hilbert space spanned by the M lowest energy eigenstates of the bare static potential, a set of coupled non-Markovian master equations for the diagonal elements of the reduced density matrix, within the discrete variale representation, is derived. The resulting dynamics is in good agreement with predictions of ab-initio real-time path integral simulations. Numerous results, analytical as well as numerical, for the quantum relaxation rate and for the asymptotic populations are presented. Our method is particularly convenient to investigate the case of shallow, time-dependent potential barriers and moderate-to-strong damping, where both a semi-classical and a Redfield-type approach are inappropriate.PACS: 82.20.Pm

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“…This tallies with the fact that in the interaction representation the photon creation operator carries a temporal phase factor e it and the annihilation operator, e -it (t denotes time and  is the angular frequency) 21 -so that unless both have the same number of appearances, the associated matrix element contribution will have an unphysically rapid oscillation about zero.…”

Section: F H R R H I F H S S H R R H I M F H I E E E E E E F H T T Hmentioning

confidence: 99%

Interparticle Interactions: Energy Potentials, Energy Transfer, and Nanoscale Mechanical Motion in Response to Optical Radiation

Andrews

2012

J. Phys. Chem. A

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In the interactions between particles of material with slightly different electronic levels, unusually large shifts in the pair potential can result from photo-excitation, and on subsequent electronic excitation transfer. To elicit these phenomena it is necessary to understand the fundamental differences between a variety of optical properties deriving from dispersion interactions, and processes such as resonance energy transfer that occur under laser irradiance.This helps dispel some confusion in the recent literature. By developing and interpreting the theory at a deeper level, it can be anticipated that in suitable systems, light absorption and energy transfer will be accompanied by significant displacements in inter-particle separation, leading to nanoscale mechanical motion.

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Quantum statistical properties of ideal phase sensitive receivers

Cited by 872 publications

References 1 publication

Beams of electromagnetic radiation carrying angular momentum: The Riemann–Silberstein vector and the classical–quantum correspondence

Beams of electromagnetic radiation carrying angular momentum: The Riemann–Silberstein vector and the classical–quantum correspondence

Strong Coupling Theory for Tunneling and Vibrational Relaxation in Driven Bistable Systems

Interparticle Interactions: Energy Potentials, Energy Transfer, and Nanoscale Mechanical Motion in Response to Optical Radiation

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