Antibunching and sub-poissonian photon statistics in the Jaynes-Cummings model

Sub-poissonian photon statistics and antibunching by the definition based on the positive derivative of g⁽²⁾ (t, t+τ) as a function of the delay time τ at τ=0 are treated in a single-mode single-two-level-atom model. It is shown, in particular, that sub-poissonian behaviour may be accompanied by bunching or antibunching and photon-antibunching may be accompanied by sub-poissonian or super-poissonian field statistics. It is also shown that the photon-antibunching persists with increasing mean photon number of an initial chaotic state while the sub-Poisson behaviour disappears.     

Field purification in the intensity-dependent Jaynes-Cummings model

We have found that, in the intensity-dependent Jaynes-Cummings model, a field initially prepared in a statistical mixture of two coherent states, |α〉 and | − α〉, evolves toward a pure state. We have also shown that an even-coherent state turns periodically into a rotated odd-coherent state during the evolution.     

Stark shift contribution to field statistics in a generalized Jaynes-Cummings model

The nonlinear and multiphoton interaction between a single two-level atom and two modes of radiation is studied in a generalized Jaynes-Cummings model. An intensity-dependent level shift is considered. The time evolution operator is obtained. The detuning has a photon number dependence. Different statistical aspects pertaining to either the atom or the fields are calculated. The dipole moment, the dipole-dipole correlation function, as well as the transient spectrum are obtained.     

Field statistics in a one-dimensional Reverberation Chamber model

This work focuses on building a fairly simple yet physically appropriate 1D model for a Reverberation Chamber which claims to be able to analytically predict the statistical behavior of such a chamber, without forsaking to the benefits of deterministic models. The statistical properties are introduced by varying the size of a 1D stirrer or the cavity size itself. A validation analysis shows agreement with other theories and measured results on real RCs. Field statistics in undermoded regime is examined. A radiated emission test is defined and shows reliable matching with reality. The field performance near the conducting walls is investigated. To cite this article: R. Serra, F. Canavero, C. R. Physique 10 (2009).     

Possible generalization of Boltzmann-Gibbs statistics

With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelyS _q k [1 – _i=1 ^W p _i ^q ]/(q-1), whereq characterizes the generalization andp _i are the probabilities associated withW (microscopic) configurations (W). The main properties associated with this entropy are established, particularly those corresponding to the microcanonical and canonical ensembles. The Boltzmann-Gibbs statistics is recovered as theq1 limit.     

JC模型体系的几何相

利用AA相理论,给出了Jaynes-cummings模型系统在初始状态为固定光子数下的几何相.     

Squeezed states in the Jaynes-Cummings model

It is shown that squeezed states of the electromagnetic field are obtained in the Jaynes-Cummings model of an atomic transition coupled to a single mode, quantized electromagnetic field.     

Level crossing in a two-photon Jaynes—Cummings model

In this paper,the energy spectrum of the two-photon Jaynes-Cummings model(TPJCM) is calculated exactly in the non-rotating wave approximation(non-RWA),and we study the level-crossing problem by means of fidelity.A narrow peak of the fidelity is observed at the level-crossing point,which does not appear at the avoided-crossing point.Therefore fidelity is perfectly suited for detecting the level-crossing point in the energy spectrum.     

Atomic transition transfer, field statistics and squeezing of the off-resonant cascade three-level Jaynes-Cummings model with a Kerr medium

Atomic population dynamics and the non-classical properties of the field in the system consisting of a cascade three-level atom interacting non-resonantly with a single-mode field are investigated in the presence of a Kerr medium. The atom and the field are assumed to be in the upper state and the coherent state initially, respectively. It is found that an atomic transition transfer may occur by varying the initial field intensity under the condition of a reasonably large one-photon detuning. Varying the initial field intensity can also control the field statistics. Quasiprobability distribution Q-function of the field state is also calculate to reveal its relation to the field statistics and normal squeezing effect.     

Atomic nonclassicality in the Jaynes-Cummings model

The Jaynes-Cummings model, a fundamental and ideal paradigm for the study of atom-field interaction with remarkable beauty and complexity, plays an instrumental role in cavity quantum electrodynamics and related experiments. The dynamics of both the atom and the field in this ubiquitous model, which exhibit a number of intriguing nonclassical effects, have been widely studied and engineered from various perspectives. In particular, the collapses and revivals for several physical quantities have been revealed, with important implications for quantum foundations and technologies. In this work, we study the atomic nonclassicality in the Jaynes-Cummings model in terms of an information-theoretic quantifier, reveal its basic features, and compare them with various well known observations of atomic dynamics. The sensitivity of the dynamics on both the initial atomic states and field states indicates rich patterns of atom-field interaction, and may be exploited to estimate, prepare, and engineer atomic states via fields, or vice versa.     

Linear entropy in the Jaynes-Cummings model with a Kerr nonlinearity

The dynamical properties of quantum entanglement in the integrable Jaynes-Cummings model with a Kerr nonlinearity are studied in terms of the reduced-density linear entropy with various Kerr coupling parameters and initial states, where the initial states are prepared by the coherent states placed in the corresponding phase space described in terms of canonical variables. The mean entanglement averaged over time is employed to investigate the behavior of entanglement of those coherent states. It is shown that the mean entanglement of the coherent states put near the centers of periodic orbits, both with a strong Kerr coupling and without a Kerr coupling, tends to be the minimal, and that the mean entanglement of the coherent states centered near the boundary with a strong Kerr coupling is the minimal while that without Kerr coupling is the maximal.     

Non-chaotic behavior in the semiclassical Jaynes-Cummings model

The semiclassical model, describing interaction of a collection of two-level atoms with a single-mode electric field, known as the Jaynes-Cummings model, without the assumption of the rotating-wave approximation, is considered. A solution, based on an asymptotic expansion, describing small oscillations is presented. This solution also yields a relation between the coupling and detuning parameters, which is the condition for the existence of regular and chaotic behaviour. We confirmed numerically, by calculation of the Lyapunov exponent and the Fourier spectrum, that the condition is valid for both weak and strong coupling.     

Chaos in generalized Jaynes-Cummings model

The possibility of chaos formation is studied in terms of a generalized Jaynes-Cummings model which is a key model in the quantum electrodynamics of resonators. In particular, the dynamics of a three-level optical atom which is under the action of the resonator field is considered. The specific feature of the considered problem consists in that not all transitions between the atom levels are permitted. This asymmetry of the system accounts for the complexity of the problem and makes it different from the three-level systems studied previously. We consider the most general case, where the interaction of the system with the resonator depends on the system coordinate inside the resonator. It is shown that, contrary to the commonly accepted opinion, the absence of resonance detuning does not guarantee the system state controllability. In the course of evolution the system performs an irreversible transition from the purely quantum-mechanical state to the mixed state. It is shown that the asymmetry of the system levels accounts for the fact that the upper excited level turns out to be the most populated one.     

Symplectic tomography of the Jaynes-Cummings model

We derive equations describing quantum evolution for the classical-like tomographic-probability-distribution function for the Jaynes-Commings model. Different representations for the field part of the total density matrix are considered.     

多光子J-C模型中频率随时间变化场的反聚束效应

利用多光子J-C模型,考虑场频率随时间以正弦函数形式作小量变化,在旋波近似下,研究了二能级原子通过多光子跃迁与单模辐射场相互作用系统中场的反聚束效应.利用数值计算方法给出反映场反聚束效应的二阶关联函数随时间的演化曲线.研究结果表明:场二阶关联函数的演化受场频率随时间正弦函数形式变化的调制,场频率振荡的幅值 u越大调制作用越强,在场频率振荡的幅值u大于一定值后,场二阶关联函数随时间的演化呈现出周期性振荡特性,其振荡周期与场频率变化的周期一致.     

原子与频率随时间变化场相互作用系统中场熵的演化

利用多光子Jaynes-Cummings模型,考虑场频率随时间以正弦函数形式作小量变化,在旋波近似下,研究了二能级原子通过多光子跃迁与单模辐射场相互作用系统中场熵的演化规律.利用数值计算方法给出场熵随时间的演化曲线.研究结果表明:场熵的演化受场频率随时间正弦函数形式变化的调制,场频率振荡的幅值u越大调制作用越强,在场频率振荡的幅值u大于一定值后,场熵将按场频率周期性的变化规律作周期性振荡.     

Evolution of squeezed states in the Jaynes-Cummings model

Squeezed states can be further squeezed if the initial squeezing is smaller than a certain amount. It is pointed out that one atom single-photon and two-photon micromasers could be used to produce squeezed state output, among which single-photon resonant two-photon micromaser may bring about relatively large output with deep squeezing.     

多光子J C模型中频率随时间变化场的压缩效应

利用多光子J C模型,考虑场频率随时间以正弦函数形式作小量变化,在旋波近似下,研究了二能级原子通过多光子跃迁与单模辐射场相互作用系统中场的压缩效应.利用数值计算方法讨论了场频率变化的幅值和角频率、以及光场强度对场压缩效应的影响.结果表明：随场频率变化的幅值增大,场压缩效应增强;随光场初始平均光子数的增加,场压缩效应减弱.场正交分量的均方涨落随时间的演化受场频率随时间正弦函数形式变化的调制,场频率变化的幅值越大调制作用越强.