On the Wigner-Weisskopf approximation in quantum optics

Wang, Y.K.; Khoo, I. C.

doi:10.1016/0030-4018(74)90227-2

Cited by 18 publications

(10 citation statements)

References 4 publications

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“…hyperfine Lande g-factor for w 02 j i 1/6 g F; 10 hyperfine Lande g-factor for w 10 j i À1/2 g F; 11 hyperfine Lande g-factor for w 11 j i À1/6 g F; 12 hyperfine Lande g-factor for w 12 j i 2/3 a Frequencies f ij are given relative to the energy of the state 5 2 S 1=2 , as obtained without considering hyperfine splitting.…”

Section: Resultsmentioning

confidence: 99%

“…However, Yao et al 6 argued that the time-symmetry requirement, as described by Cirac et al 3 could be eliminated, and photon transmission and reception could be independently controlled. Instead of an atom in a cavity, Yao et al, 6 10 and analytically demonstrated the laser pulse shape required for a desired shape of generated photon wavepacket.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Cavity quantum electrodynamics for photon mediated transfer of quantum states

Rahman¹,

Choudhury

2011

Journal of Applied Physics

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Articles you may be interested inEffective quantum teleportation of an atomic state between two cavities with the cross-Kerr nonlinearity by interference of polarized photons An enhanced approach for transferring quantum state between quantum nodes is proposed wherein photons serve as the information carrier. Each node consists of a Rubidium ( 87 Rb) atom trapped inside a two-mode optical cavity. The approach is based on cavity quantum electrodynamics (QED) wherein a system of lasers is applied on the atom in order to generate photon through Raman transition. Logic states '0' and '1' are represented by two subspaces of the hyperfine energy levels with magnetic sub-levels of 87 Rb atom. A static magnetic field is applied upon the atoms so that the hyperfine states of 87 Rb atom are split into the magnetic sub-levels (due to Zeeman effect). Depending on the logic state of the transmit node, a right-or left-circularly polarized photon with designated frequency is produced through a cavity assisted Raman process. When the photon is received at the receive node via an optical fiber, the logic state of the transmit node is restored (through a cavity QED process) into the receive node. A desirable feature of the approach is that, during the transmission of logic state, the transmit node itself should not significantly change its quantum state; this is successfully validated through simulations.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Cavity quantum electrodynamics for photon mediated transfer of quantum states

Rahman¹,

Choudhury

2011

Journal of Applied Physics

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“…Furthermore, the Weisskopf-Wigner theory [52] can be used to approximate the single-excitation Green's function by a complex Lorentzian (refer to appendix D 1):…”

Section: A Single-particle Scatteringmentioning

confidence: 99%

Few-particle scattering from localized quantum systems in spatially structured bosonic baths

Trivedi,

Fischer,

Fan

et al. 2020

Preprint

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Understanding dynamics of localized quantum systems embedded in engineered bosonic environments is a central problem in quantum optics and open quantum system theory. We present a formalism for studying few-particle scattering from a localized quantum system interacting with an bosonic bath described by an inhomogeneous wave-equation. In particular, we provide exact relationships between the quantum scattering matrix of this interacting system and frequency domain solutions of the inhomogeneous wave-equation thus providing access to the spatial distribution of the scattered few-particle wave-packet. The formalism developed in this paper paves the way to computationally understanding the impact of structured media on the scattering properties of localized quantum systems embedded in them without simplifying assumptions on the physics of the structured media.

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“…we can apply the standard Wigner-Weisskopf method [39,40]. The derivation of this method and its limitations are discussed in many textbooks and articles, see for instance [41][42][43][44][45][46][47]. A derivation starting from quantum field theory can be found in [48,49].…”

Section: Metastable Hydrogen States In External Fieldsmentioning

confidence: 99%

“…Here η is a rescaling parameter chosen such as to bring the vectors in the plots to a convenient length scale. The dimensionless geometric phases, see ( 26), (28), and (44), are then given by the flux of this dimensionless vector field (94) through a surface in this space of B i /B 0 and divided by η.…”

Section: Specific Casesmentioning

confidence: 99%

Metastable states of hydrogen: their geometric phases and flux densities

2012

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Abstract. We discuss the geometric phases and flux densities for the metastable states of hydrogen with principal quantum number n = 2 being subjected to adiabatically varying external electric and magnetic fields. Convenient representations of the flux densities as complex integrals are derived. Both, parity conserving (PC) and parity violating (PV) flux densities and phases are identified. General expressions for the flux densities following from rotational invariance are derived. Specific cases of external fields are discussed. In a pure magnetic field the phases are given by the geometry of the path in magnetic field space. But for electric fields in presence of a constant magnetic field and for electric plus magnetic fields the geometric phases carry information on the atomic parameters, in particular, on the PV atomic interaction. We show that for our metastable states also the decay rates can be influenced by the geometric phases and we give a concrete example for this effect. Finally we emphasise that the general relations derived here for geometric phases and flux densities are also valid for other atomic systems having stable or metastable states, for instance, for He with n = 2. Thus, a measurement of geometric phases may give important experimental information on the mass matrix and the electric and magnetic dipole matrices for such systems. This could be used as a check of corresponding theoretical calculations of wave functions and matrix elements.

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On the Wigner-Weisskopf approximation in quantum optics

Cited by 18 publications

References 4 publications

Cavity quantum electrodynamics for photon mediated transfer of quantum states

Cavity quantum electrodynamics for photon mediated transfer of quantum states

Few-particle scattering from localized quantum systems in spatially structured bosonic baths

Metastable states of hydrogen: their geometric phases and flux densities

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