<i>Photons &amp; Atoms: Introduction to Quantum Electrodynamics</i>

Cohen‐Tannoudji, Claude; Dupont‐Roc, J.; Grynberg, G.; Scully, Marlan O.

doi:10.1119/1.16945

Cited by 389 publications

(762 citation statements)

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“…The derivation presented here utilizes the PowerZienau-Wooley (PZW), or multipolar formalism, of the interaction Hamiltonian. [25][26][27][28] Due to the functional form and physical model of the PZW canonical transformation, the field variation of a classical LG beam enters directly into the interaction Hamiltonian, as seen previously in the derivation by Alexandrescu et al [13] This makes new and interesting interactions in molecular systems more transparent to the investigator and easier to interpret in resonant transitions.…”

Section: A Lg-molecule Interaction Hamiltonianmentioning

confidence: 92%

“…[25][26][27][28] It is worth mentioning that there is nothing intrinsically special about the PZW transformed interaction Hamiltonian or the behavior explored in context of this transformation. The transformation simply allows one to expose augmented quantum molecular behavior with a greater ease, especially in the context of polyatomic molecules.…”

Section: A Lg-molecule Interaction Hamiltonianmentioning

confidence: 99%

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Examining resonant inelastic spontaneous scattering of classical Laguerre-Gauss beams from molecules

Rury

2013

Phys. Rev. A

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This paper theoretically treats the spontaneous resonant inelastic scattering of Laguerre-Gauss (LG) beams from the totally symmetric vibrations of complex polyatomic molecules within the semiclassical framework. We develop an interaction Hamiltonian that accounts for the position of the molecule within the excitation beam to derive the effective differential scattering cross-section of a classical LG beam from a molecule using the frequency domain third order nonlinear optical response function. To gain physical insight into this scattering process, we utilize a model vibronic molecule to study the changes to this scattering process. For specific molecular parameters including vibrational frequency and relative displacement of the involved electronic states, this investigation shows that an incident LG beam asymmetrically enhances one of two participating excitation transitions causing modulation of the interference present in the scattering process. This modulation allows a pathway to coherent control of resonant inelastic scattering from complex, poly-atomic molecules. We discuss the possible application of this control to the resonant x-ray inelastic scattering (RIXS) of small poly-atomic molecules central to applications ranging from single molecule electronics to solar energy science.

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Section: A Lg-molecule Interaction Hamiltonianmentioning

confidence: 92%

Section: A Lg-molecule Interaction Hamiltonianmentioning

confidence: 99%

Examining resonant inelastic spontaneous scattering of classical Laguerre-Gauss beams from molecules

Rury

2013

Phys. Rev. A

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“…As we work in the Coulomb gauge we haveΠ(r, t) = −D(r, t) [25]. Using this andD(r) = ǫ 0Ê (r) +P(r) we find for the wave equation of the electric field in the rotating frame…”

Section: Dynamics In the Rotating Framementioning

confidence: 99%

“…As the starting point we choose the standard atomlight interaction Hamiltonian of quantum optics in Coulomb gauge and after the Power-Zienau-Wolley transformation [25]. Adding the free Hamiltonian of a 3-component non-relativistic Schrödinger field, the Hamiltonian reads in a non-rotating framê…”

Section: Dynamics In the Rotating Framementioning

confidence: 99%

Quantum sensitivity limit of a Sagnac hybrid interferometer based on slow-light propagation in ultracold gases

Zimmer

Fleischhauer

2006

Phys. Rev. A

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The light-matter-wave Sagnac interferometer based on ultra-slow light proposed recently in (Phys. Rev. Lett. 92, 253201 (2004)) is analyzed in detail. In particular the effect of confining potentials is examined and it is shown that the ultra-slow light attains a rotational phase shift equivalent to that of a matter wave, if and only if the coherence transfer from light to atoms associated with slow light is associated with a momentum transfer and if an ultra-cold gas in a ring trap is used. The quantum sensitivity limit of the Sagnac interferometer is determined and the minimum detectable rotation rate calculated. It is shown that the slow-light interferometer allows for a significantly higher signal-to-noise ratio as possible in current matter-wave gyroscopes.

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“…P being the principal value, is the respective bath-induced Lamb shift [54,55]. Thus, for any given spectrum G j (ω) we obtain the effective response spectrum (43) which is a "skewed Lorentzian" with controllable width and center.…”

Section: E Spectrally Separated Bathsmentioning

confidence: 99%

Heat-machine control by quantum-state preparation: From quantum engines to refrigerators

2014

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We explore the dependence of the performance bounds of heat engines and refrigerators on the initial quantum state and the subsequent evolution of their piston, modeled by a quantized harmonic oscillator. Our goal is to provide a fully quantized treatment of self-contained (autonomous) heat machines, as opposed to their prevailing semiclassical description that consists of a quantum system alternately coupled to a hot or a cold heat bath, and parametrically driven by a classical time-dependent piston or field. Here by contrast, there is no external time-dependent driving. Instead, the evolution is caused by the stationary simultaneous interaction of two heat baths (having distinct spectra and temperatures) with a single two-level system that is in turn coupled to the quantum piston. The fully quantized treatment we put forward allows us to investigate work extraction and refrigeration by the tools of quantum-optical amplifier and dissipation theory, particularly, by the analysis of amplified or dissipated phase-plane quasiprobability distributions. Our main insight is that quantum states may be thermodynamic resources and can provide a powerful handle, or control, on the efficiency of the heat machine. In particular, a piston initialized in a coherent state can cause the engine to produce work at an efficiency above the Carnot bound in the linear amplification regime. In the refrigeration regime, the coefficient of performance can transgress the Carnot bound if the piston is initialized in a Fock state. The piston may be realized by a vibrational mode, as in nanomechanical setups, or an electromagnetic field mode, as in cavitybased scenarios.

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Photons & Atoms: Introduction to Quantum Electrodynamics

Cited by 389 publications

References 0 publications

Examining resonant inelastic spontaneous scattering of classical Laguerre-Gauss beams from molecules

Examining resonant inelastic spontaneous scattering of classical Laguerre-Gauss beams from molecules

Quantum sensitivity limit of a Sagnac hybrid interferometer based on slow-light propagation in ultracold gases

Heat-machine control by quantum-state preparation: From quantum engines to refrigerators

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