Erratum: Coherent population trapping in quantum systems [Phys. Usp. 36, 763–793, (September 1993)]

Agap'ev, B. D.; Gornyi, M. B.; Matisov, B. G.; Rozhdestvenskiĭ, Yu. V.

doi:10.1070/pu1993v036n11abeh002416

Phys.-Usp.

1993

DOI: 10.1070/pu1993v036n11abeh002416

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Erratum: Coherent population trapping in quantum systems [Phys. Usp. 36, 763–793, (September 1993)]

B. D. Agap'ev¹,

M. B. Gornyi²,

B. G. Matisov³

et al.

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Cited by 3 publications

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“…In this sense, we may calculate the average value of the atom operator to replace computing the emission spectrum without any loss of generality. Moreover, the study of many other effects in cavity QED such as atomic dipole squeezing [30], population trapping [31],…”

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confidence: 99%

Perturbative expansion for the master equation and its applications

2000

Phys. Rev. A

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We construct generally applicable small-loss rate expansions for the density operator of an open system. Successive terms of those expansions yield characteristic loss rates for dissipation processes. Three applications are presented in order to give further insight into the context of those expansions. The first application, of a two-level atom coupling to a bosonic environment, shows the procedure and the advantage of the expansion, whereas the second application that consists of a single mode field in a cavity with linewidth κ due to partial transmission through one mirror illustrates a practical use of those expansions in quantum measurements, and the third one, for an atom coupled to modes of a lossy cavity shows the another use of the perturbative expansion. [11,12]. The problem can be described generally as interest in the effective dynamics of one subsystem of several interacting subsystems. A formal framework to describe the effective dynamics of such a subsystem is set up in ref. [13], and a short-time perturbative expansion for coherence loss has also been constructed [14]. To some extent(for example, if we are interested in a behavior for finite time), however, time is not as good as the loss rate as a perturbative parameter. Motivated by this and recent experimental developments [15][16][17][18][19][20] as well as the analysis of models related to them [21][22][23][24], we construct generally smallloss rate expansions for dissipation. The results suggest that these are useful in many areas such as high-Q Cavity QED [15-20], quantum computation[11,12,21-26], quantum measurement [27,28], quantum optics [3][4][5][6][7] etc.We consider an open quantum system, the total Hamiltonian describing such a system is expressed aswhere H 0 and H env indicate the free Hamiltonian of the system and of the environment, respectively. H I is the interaction Hamiltonian between the system and the environment. It is well known that the form of the master equation depends on the precise kind of the system-environment interaction. In order to derive * Corresponding address 1

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Perturbative expansion for the master equation and its applications

2000

Phys. Rev. A

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“…Neglecting the centre-of-mass motion, Knight et al [1] found that additional photoionization rates induced by strong dressing and probe laser fields can cause the population trapped in otherwise stable dressed states to decay away. As is well known, the centre-of-mass motion of atoms plays an important role in modern optics; its effect cannot be neglected in laser cooling [5][6][7], atom trapping [8], etc. This motivates us to investigate the effect of atomic motion on both the ionization distribution and the time evolution of a -type system.…”

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The effect of atomic motion on photoionization of a -type system

1997

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

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The effect of atomic centre-of-mass motion on the photoionization of a -type atom system is studied. The results show that the two lower states of the -type atom with a given momentum p can form a non-ionization state. Nevertheless, the atomic motion would result in redistribution of the ionization and destruction of the population trapping when the centre-of-mass momenta of the atom have a Gaussian distribution.

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Boundary conditions in the macroscopic theory of superconductivity

Andryushin¹,

Ginzburg²,

Silin³

1993

Phys.-Usp.

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Erratum: Coherent population trapping in quantum systems [Phys. Usp. 36, 763–793, (September 1993)]

Cited by 3 publications

References 0 publications

Perturbative expansion for the master equation and its applications

Perturbative expansion for the master equation and its applications

The effect of atomic motion on photoionization of a -type system

Boundary conditions in the macroscopic theory of superconductivity

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