Quantum revivals in the Jaynes-Cummings model

Filipowicz, P.

doi:10.1088/0305-4470/19/18/024

Cited by 44 publications

(14 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The phenomenon of quantum revival is an essential feature of the microlaser system (see [15]- [19], and [34]- [36]). The revivals are characterized by the reappearance of strongly oscillating structures in the excitation probability of an outgoing atom which is given by Eq.…”

Section: Revivals and Prerevivalsmentioning

confidence: 99%

Dynamics, correlations, and phases of the micromaser

1996

View full text Add to dashboard Cite

The micromaser possesses a variety of dynamical phase transitions parametrized by the flux of atoms and the time of flight of the atom within the cavity. We discuss how these phases may be revealed to an observer outside the cavity using the long-time correlation length in the atomic beam. Some of the phase transitions are not reflected in the average excitation level of the outgoing atom, which is the commonly used observable. The correlation length is directly related to the leading eigenvalue of the time evolution operator, which we study in order to elucidate the phase structure. We find that as a function of the time of flight the transition from the thermal to the maser phase is characterized by a sharp peak in the correlation length. For longer times of flight there is a transition to a phase where the correlation length grows exponentially with the flux. We present a detailed numerical and analytical treatment of the different phases and discuss the physics behind them.

show abstract

Section: Revivals and Prerevivalsmentioning

confidence: 99%

Dynamics, correlations, and phases of the micromaser

1996

View full text Add to dashboard Cite

show abstract

“…This effect was predicted theoretically [17] and later observed experimentally [18]. Its qualitative explanation and analytical description was also given by [19][20][21]. It was shown that the evolution of the population of the atomic states is characterized by two time scales.…”

Section: Introductionmentioning

confidence: 62%

Collapse-and-revival dynamics of strongly laser-driven electrons

2013

View full text Add to dashboard Cite

The relativistic quantum dynamics of an electron in an intense single-mode quantized electromagnetic field is investigated with special emphasis on the spin degree of freedom. In addition to fast spin oscillations at the laser frequency, a second time scale is identified due to the intensity dependent emissions and absorptions of field quanta. In analogy to the well-known phenomenon in atoms at moderate laser intensity, we put forward the conditions of collapses and revivals for the spin evolution in laser-driven electrons starting at feasible 10 18 W/cm 2 .PACS number(s): 12.20.-m, 13.88.+e

show abstract

“…So it is sometimes called a thermo-coherent distribution. 31 We consider the case when the reactant and product surfaces are harmonic oscillators which are displaced and distorted. When the reactant state is in a thermo-coherent state the rate depends on the two parameters of the distribution, namely, the thermal-average excitation number and the coherent-average excitation number of the vibrational states.…”

Section: Quantum Rate With Glauber-lachs Statementioning

confidence: 99%

“…These dependence can be understood from the derivation of GL state as a steady state distribution by Filipowicz. 31 …”

Section: Quantum Rate With Glauber-lachs Statementioning

confidence: 99%

“…As a non-thermal reactant state distribution, GlauberLachs state 29,30 can be used which can be created in a harmonic oscillator mode in thermal equilibrium by a subsequent perturbation using an infra-red laser pulse. 31 We have used the Franck-Condon factor 23,24 to elucidate a detailed behaviour of the rate due to all the parameters of the potential surfaces in presence of initial thermo-coherent state 29,30 and thereby the quantum nature of the electron transfer rate.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Quantum electron transfer processes induced by thermo-coherent state

Banerjee

Gangopadhyay

2007

J Chem Sci

View full text Add to dashboard Cite

When the reactant surface is not in a thermal equilibrium, but in a thermo-coherent state we have derived the rate and discussed about the quantum features of the rate. In the limit of very low and very high temperature the expressions are derived analytically and compared with the case of thermal distribution. We have investigated the dependence of temperature on the rate due to displacement, distortion of the harmonic potential energy surfaces of the reactant and product manifold.

show abstract

Quantum revivals in the Jaynes-Cummings model

Cited by 44 publications

References 10 publications

Dynamics, correlations, and phases of the micromaser

Dynamics, correlations, and phases of the micromaser

Collapse-and-revival dynamics of strongly laser-driven electrons

Quantum electron transfer processes induced by thermo-coherent state

Contact Info

Product

Resources

About