Dicke model and the theory of driven and spontaneous emission

Leonardi, C.; Persico, F.; Vetri, G.

doi:10.1007/bf02724324

Cited by 70 publications

(43 citation statements)

References 158 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…α 2 E is, by definition, [20], the Lamb shift of the model. It may be worthwhile to point out that the Lamb shift for the Hydrogen atom, [8], is actually of higher order, namely, α 3 log(α −1 ).…”

Section: Adiabatic Rotationsmentioning

confidence: 99%

Adiabatic Theorem without a Gap Condition

Avron¹,

Elgart²

1999

Communications in Mathematical Physics

215

239

View full text Add to dashboard Cite

We prove an adiabatic theorem for the ground state of the Dicke model in a slowly rotating magnetic field and show that for weak electron-photon coupling, the adiabatic time scale is close to the time scale of the corresponding two level system-without the quantized radiation field. There is a correction to this time scale which is the Lamb shift of the model. The photon field affect the rate of approach to the adiabatic limit through a logarithmic correction originating from an infrared singularity characteristic of QED.03.65.Bz, 03.65.Fd

show abstract

Section: Adiabatic Rotationsmentioning

confidence: 99%

Adiabatic Theorem without a Gap Condition

Avron¹,

Elgart²

1999

Communications in Mathematical Physics

215

239

View full text Add to dashboard Cite

show abstract

“…It was shown that the resulting radiation intensity was proportional to N 2 , rather than N (as expected for the intensity radiated by independent atoms), with a decay time proportional to the inverse of the number of emitters [2,3,4,5]. This phenomenon is commonly known as Superradiance and it occurs when the sample is prepared in a symmetric superposition of atomic states.…”

Section: Introductionmentioning

confidence: 98%

Tuning the collective decay of two entangled emitters by means of a nearby surface

Palacino

Passante

Rizzuto

et al. 2017

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

Abstract.We consider the radiative properties of a system of two identical correlated atoms interacting with the electromagnetic field in its vacuum state in the presence of a generic dielectric environment. We suppose that the two emitters are prepared in a symmetric or antisymmetric superposition of one ground state and one excited state and we evaluate the transition rate to the collective ground state, showing distinctive cooperative radiative features. Using a macroscopic quantum electrodynamics approach to describe the electromagnetic field, we first obtain an analytical expression for the decay rate of the two entangled twolevel atoms in terms of the Green's tensor of the generic external environment. We then investigate the emission process when both atoms are in free space and subsequently when a perfectly reflecting mirror is present, showing how the boundary affects the physical features of the superradiant and subradiant emission by the two coupled emitters. The possibility to control and tailor radiative processes is also discussed.

show abstract

“…On the contrary, multipartite systems can exhibit collective properties induced by the common reservoir [15, 16, 18 -23]. This general feature already appeared in some fundamental papers [24,18] in which the interaction between atomic dipoles, induced by electromagnetic field, could cause the decay of the multiatom system with two significantly different spontaneous emission rates, one enhanced and the other one reduced.…”

Section: Introductionmentioning

confidence: 96%

An Operator-Based Exact Treatment of Open Quantum Systems

Nicolosi

2005

Open Syst. Inf. Dyn.

View full text Add to dashboard Cite

Quantum mechanics must be regarded as open systems. On one hand, this is due to the fact that, like in classical physics, any realistic system is subjected to a coupling to an uncontrollable environment which influences it in a non-negligible way. The theory of open quantum systems thus plays a major role in many applications of quantum physics since perfect isolation of quantum system is not possible and since a complete microscopic description or control of the environment degrees of freedom is not feasible or only partially so [1]. Practical considerations therefore force one to seek for a simpler, effectively probabilistic description in terms of an open system. There is a close physical and mathematical connection between the evolution of an open system, the state changes induced by quantum measurements, and the classical notion of a stochastic process. The paper provides a bibliographic review of this interrelations, it shows the mathematical equivalence between markovian master equation and generalized piecewise deterministic processes [1] and it introduces the open system in an open observed environment model.

show abstract

Dicke model and the theory of driven and spontaneous emission

Cited by 70 publications

References 158 publications

Adiabatic Theorem without a Gap Condition

Adiabatic Theorem without a Gap Condition

Tuning the collective decay of two entangled emitters by means of a nearby surface

An Operator-Based Exact Treatment of Open Quantum Systems

Contact Info

Product

Resources

About