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.     

A modern review of the two-level approximation

The paradigm of the two-level atom is revisited and its perturbative analysis is discussed in view of the principle of duality in perturbation theory. The models we consider are a two-level atom and an ensemble of two-level atoms both interacting with a single radiation mode. The aim is to see how the latter can be actually used as an amplifier of quantum fluctuations to the classical level through the thermodynamic limit of a very large ensemble of two-level atoms [M. Frasca, Phys. Lett. A 283 (2001) 271] and how can remove Schrödinger cat states. The thermodynamic limit can be very effective for producing both classical states and decoherence on a quantum system that evolves without dissipation. Decoherence without dissipation is indeed an effect of a single two-level atom interacting with an ensemble of two-level atoms, a situation that proves to be useful to understand recent experiments on nanoscale devices showing unexpected disappearance of quantum coherence at very low temperatures.     

Jaynes-Cummings模型的量子统计性质

本文推导出一组表征Jaynes-Cummings模型量子统计性质的表达式。它们可以用来全面描述二能级原子与单模辐射场相互作用中的动力学行为和统计特征。作为例子,详细讨论了二能级原子与真空场的相互作用以及处于激发态的原子与相干场的相互作用。最后指出了上述理论研究的实际意义。 关键词：     

The emission properties of an atom inside a cavity when manipulating the atoms outside the cavity

Considering three two-level atoms initially in the GHZ state, then one atom of them is put into an initially empty cavity and made resonant interaction. It is shown that the emission properties of the atom inside the cavity can be affected only when both of the atoms outside the cavity have been manipulated. This conclusion can also be generalized to n two-level atoms.     

Unitary transformation method for solving generalized Jaynes-Cummings models

Two fully quantized generalized Jaynes-Cummings models for the interaction of a two-level atom with radiation field are treated, one involving intensity dependent coupling and the other involving multiphoton interaction between the field and the atom. The unitary transformation method presented here not only solves the time dependent problem but also allows a determination of the eigensolutions of the interacting Hamiltonian at the same time.     

Quantum entanglement in the system of two two-level atoms interacting with a single-mode vacuum field

The entanglement properties of the system of two two-level atoms interacting with a single-mode vacuum field are explored. The quantum entanglement between two two-level atoms and a single-mode vacuum field is investigated by using the quantum reduced entropy; the quantum entanglement between two two-level atoms, and that between a single two-level atom and a single-mode vacuum field are studied in terms of the quantum relative entropy. The influences of the atomic dipole--dipole interaction on the quantum entanglement of the system are also discussed. Our results show that three entangled states of two atoms--field, atom--atom, and atom--field can be prepared via two two-level atoms interacting with a single-mode vacuum field.     

Sub-poissonian statistics of fluorescence photons of a single molecule

The method previously used by the author for the measurement and calculation of the distribution function w _N(T)of fluorescence photons from a single two-level atom that is continuously excited by laser light and has a unity fluorescence quantum yield is generalized to the case of a single molecule whose fluorescence quantum yield is smaller than unity and to the case of a three-level molecule whose fluorescence is blinking. The functions w _N(T) calculated for these two cases demonstrate a sub-Poissonian distribution of fluorescence photons.     

On the generation of a generalized superposition of displaced squeezed states

A feasible scheme is presented to generate a generalized superposition of displaced squeezed states, cosθ|α,z〉±sinθ|-α,z〉, in a single mode of the electromagnetic field inside a microwave cavity. The scheme employs a two-level (Rydberg) atom driven by an external classical field. The success probability and the interaction time of such generation are also considered.     

Energy levels and multipole transition properties of C4+ ion in Debye plasmas

In this paper, we use the Green function method to determine the linear quantum mechanical susceptibilities of a single two-level atom and two two-level atoms located inside a coupled-resonator optical waveguide (CROW). We first calculate the susceptibility of a single atom in a CROW which has the same form as that of a single atom in free space, except for the modification of the atomic decay rate and the frequency shift. Then, we consider two non-identical, non-interacting two-level atoms inside two separate cavities of the CROW. We find that the susceptibility of this system contains not only the contributions of the two individual atoms, but also the contribution arising from the atom-atom correlation due to the CROW field. This additional contribution leads to an electromagnetically induced transparency-like (EIT-like) phenomenon. Furthermore, we find that the optical response of the atomic systems under consideration can be controlled by tuning the atomic transition frequency. Finally, we study the effects of the dissipation processes, i.e., the spontaneous emission of the atoms and the photon leakage from the CROW, on the optical susceptibility.     

Two-time photon correlations in resonance fluorescence

The factorization formula for the two-time intensity correlation of the fluorescence produced by a two-level atom in a coherent field is generalized for an arbitrary quantum state of the field. The formula is then applied to a Fock state.     

Velocity redistribution by standing waves

This paper considers the modifications of the atomic velocity distribution imposed by a standing wave. The recoil due to induced and spontaneous processes provides an effective force on the particles. We formulate the general problem of a two-level atom in the field of two counter-propagating waves. We derive the rate equation limit for these equations and show how it can be generalized to treat a broad-band source of radiation. The connection with generalized relaxation theory is discussed. The ensuing integral equations are solved numerically for various cases of cooling and heating.     

两能级原子强场谐波的数值求解

通过数值求解强激光场作用下两能级原子的含时间薛定锷方程得到了有单原子辐射谱，并与解析解得到的单原子谐波谱进行了比较。     

Nonclassical Properties for Two Coupled N-Two-Level Atom and a Single Two-Level Atom Under an External Magnetic Field

We study the interaction between a single two-level atom and N two-level atoms under the effect of a uniform magnetic field. The exact solution is obtained and the expectation value of the time-dependent quantum operators calculated using the Block state (the generalized coherent state). We discuss numerically the atomic inversion where the phenomenon of collapse and revival is observed. The change in the value of the atomic angle plays a role in variance squeezing, where it is pronounced for ?? = π/3. Entropy squeezing is discussed and occurred in the first quadrature. The degree of entanglement through linear entropy is examined where the system shows partial entanglement and at a certain value of parameters displays nearly maximum entanglement.     

Pancharatnam phase for a system of a two-level atom interacting with a quantized field in a cavity

We derive an expression for the Pancharatnam phase for the entangled state of a single two-level atom interacting with a single electromagnetic field mode in an ideal cavity with the atom undergoing either a one- or a two-photon transition. It is shown that the Pancharatnam phase explicitly contains information about the statistics of the field and atomic coherence.     

Interference and spontaneous emission

The field structure of the spontaneously emitted radiation from a single two-level atom is calculated in terms of atomic source variables and used to discuss the coherence properties of spontaneous emission.     

类Kerr介质中两能级原子与驱动场作用时的相干性

两能级原子被嵌制在一充满类Kerr介质的热库中,通过求解原子与外加驱动场相互作用时约化密度算符非对角元,研究简并双光子过程中原子在外界环境(类Kerr介质和热库)下的相干特性.结果表明:当原子的相干性被保持时,外加驱动场的时间演化与原子的跃迁频率、原子偶极矩和模平均光子数等因素有关.     

单电子在含有双能级原子的空腔中的输运行为

本文构造了一个含有双能级原子的空腔系统,用来模拟一个含有双能级量子点的微腔系统, 并研究其对电子输运行为的影响.通过对该系统输运方程的求解,给出了系统输运系数的具体表达式,然后通过调整空腔及原子的本征特性以及两者的耦合性质,研究了电子在腔体中的输运行为对腔体本征属性的依赖关系. 这些结果可以为如何操控电子在微观结构器件中的输运特性提供一定的理论支持.     

Quantum effect in a generalized N-atom Dicke model

We have studied the geometric phase and the sub-Poissonian photon distribution of a generalized N two-level atoms Dicke model in the thermo-dynamical limit and the off-resonant coupling case. It is found that the geometric phase in the ground state is relative to the atom number, the coupling strength between the atom and the light field, the frequency of the electromagnetic wave and the energy difference between two levels of the atom. The photons may exhibit the sub-Poissonian distribution in the ground state.     

Constructing the davies process of resonance fluorescence with quantum stochastic calculus

The starting point is a given semigroup of completely positive maps on the 2×2 matrices. This semigroup describes the irreversible evolution of a decaying two-level atom. By using the integral-sum kernel approach to quantum stochastic calculus, the two-level atom is coupled to an environment, which in this case will be interpreted as the electromagnetic field. The irreversible time evolution of the two-level atom then stems from the reversible time evolution of the atom and the field together. Mathematically speaking, a Markov dilation of the semigroup has been constructed. The next step is to drive the atom by a laser and to count the photons emitted into the field by the decaying two-level atom. For every possible sequence of photon counts, a map is constructed that gives the time evolution of the two-level atom implied by that sequence. The family of maps obtained in this way forms a so-called Davies process. In his book, Davies describes the structure of these processes, which brings us into the field of quantum trajectories. Within the model presented in this paper, the jump operators are calculated and the resulting counting process is briefly described.     

The Spatial-Temporal Correlations of Resonance Fluorescence

The spatial-temporal correlations of resonant fluorescence from a single two-level atom is studied based on the investigation of different photocurrent correlations after homodyning the fluorescence with a local oscillator. It is found that the nonclassical features of the measured field is position-dependent on the detection plane.