等同双原子Jaynes-Cummings模型的量子特性及系统光谱

在全量子理论的背景下提出两个二能级原子分别与一单模腔场相互作用的系统模型,利用量子主方程和数值模拟计算等方法,研究该体系中腔场平均光子数、Mandel's Q因子及二阶量子相关度在非稳态时的变化规律。此外,对体系中原子及腔场中光谱结构进行了分析。结果表明:减小腔场耗散系数,增大原子间耦合系数,体系量子特性愈加明显。体系光谱呈现出Mollow三重峰结构,且原子辐射谱强度远大于腔场辐射谱强度。当原子跃迁频率与腔场跃迁频率为近共振时,Mollow峰值为三峰中最大值。此外,增大原子与腔场间耦合系数,可增大原子光谱的中峰强度;而增大腔场光谱的中峰强度,则需减小原子与腔场间耦合系数。     

双相干态光场与原子依赖强度耦合过程的腔场谱

研究了依赖强度耦合双模J-C模型的腔场谱,给出了激发态原子与双相干态光场双光子共振相互作用过程光谱结构的数值结果.发现腔场谱呈现出复杂的多峰结构.腔场谱的频率灵敏地受两模光子数差q的调谐.     

强光场驱动下内腔三能级原子的共振荧光谱

讨论了强相干激光场驱动下的内腔三能级原子的共振荧光谱，与自由空间情况相比，内腔谱从共振峰为中心向内压缩或向外扩张，但谱线的线型，线宽和强度没有变化，共振峰的线型取决于原子与驱动场之间的失谐程度，文中还谱线特征的形成原因作了分析。     

非等同两原子与相干态光场相互作用系统的腔场谱

研究了两个非等同二能级原子与单模相干态光场相互作用系统的腔场谱,讨论了相干态光场平均光子数(n)、非等同两原子与腔场间相对的耦合常数R=g2/g1分别取不同数值时腔场谱结构的新特性.发现随(n)和R的增加,腔场谱中内侧各峰升高并向共振频率ω0靠近,外侧各边峰逐渐降低并远离中心,形成以共振频率ω0为对称中心的多峰结构.在(n)＞＞1时,腔场谱中只出现经典共振峰.     

依赖强度耦合的∧型三能级Jaynes-Cummings模型的原子发射谱及腔场谱

在假设原子初始处于激发态并计入原子-场耦合强度依赖性的条件下,用本征函数法研究了∧型三能级原子与单模腔场共振相互作用系统的原子发射谱和腔场谱.结果表明,基态能级裂距对谱结构有重要影响.发射谱和腔场谱的谱线随初场增强不发生合并现象,腔场谱对初场光子统计性质不敏感.     

依赖强度耦合的Λ型三能级Jaynes-Cummings模型的原子发射谱及腔场谱

在假设原子初始处于激发态并计入原子-场耦合强度依赖性的条件下,用本征函数法研究了Λ型三能级原子与单模腔场共振相互作用系统的原子发射谱和腔场谱。结果表明,基态能级裂距对谱结构有重要影响。发射谱和腔场谱的谱线随初场增强不发生合并现象,腔场谱对初场光子统计性质不敏感。     

Kerr效应对双模二项式腔场谱的影响

研究了Kerr效应对单个二能级原子与二项式光场相互作用系统腔场谱的影响.研究发现,腔场谱结构对Kerr效应非常敏感,Kerr效应的轻微改变可使腔场谱结构明显变化,谱线劈裂、右移、间距增大、失去原有的对称性.在Kerr效应一定的情况下,一模腔场谱对另一模腔场的强弱也很敏感,一模腔场谱的增强可使另一模腔场谱线劈裂、右移、间距渐大,形成中心峰强,边峰弱,不对称的梳状结构.     

胶体金纳米颗粒的荧光光谱特性

研究了胶体金纳米颗粒的荧光激发光谱和荧光发射光谱特性.增大激发光的波长,发射峰相应红移并在629nm达到最强,对应的灵敏激发波长为473nm.增加金纳米颗粒粒径,观察到发射谱的峰值先增大然后减小.发射峰产生的原因在于电子与带间空穴的复合导致非线性共振光散射.发射峰强度和金颗粒粒径的关系可以用表面等离子体震荡引起的局域场增强来解释,数值计算结果和实验结果能较好的吻合.     

级联三能级原子与单模场相互作用下的腔场谱

研究了高Q腔内级联三能级原子与单模光场相互作用模型的腔场谱.结果表明,原子初态处于上能级时，随R=g2/g1的增大,真空场的拉比峰个数按2→6→4→2→4的规律变化，在R1时，所有的拉比峰都消失.在初始场较弱时,腔场谱可出现3峰、5峰或7峰.在初始场很强时,腔场谱中只有单一的经典共振峰.如果原子初态处在中能级且R=1,腔场谱为简单的对称双峰结构，与标准J-C模型的谱相似. 关键词： 级联三能级原子 单模光场 腔场谱     

Λ型三能级系统中EIT的瞬态响应时间研究

详细研究了Λ型三能级原子系统中电磁感应透明的瞬态过程。我们从理论上分析了系统中各参数(例如失谐、原子能级衰减率、探测场和耦合场强度)对瞬态响应时间的影响,并且通过对密度矩阵演化方程的数值求解,分析了相关密度矩阵元尤其是与吸收和色散相关的矩阵元ρab的瞬态行为。结果发现:在满足双光子共振条件Δ=Δμ的情况下,瞬态响应时间与能级衰减速率以及探测场和原子跃迁的失谐有直接关系;随着失谐的增大,响应时间也相应延长,同时,瞬态响应时间也随着衰减率γ的增大而缩短。而探测场和耦合场的强度变化并未对响应时间造成影响。此外,很多文献都指出,常用的微扰近似稳态解只适用于探测场强度远小于耦合场强度的情况,而本文则通过对比数值解的稳定值和微扰近似稳态解的差异,给出了其适用的确切范围:即应满足PE/h≤0.1Ωμ。     

Collective effects in the dynamics of driven atoms in a high-Q resonator

We study the quantum dynamics of N coherently driven two-level atoms coupled to an optical resonator. In the strong coupling regime the cavity field generated by atomic scattering interferes destructively with the pump on the atoms. This suppresses atomic excitation and even for strong driving fields prevents atomic saturation, while the stationary intracavity field amplitude is almost independent of the atom number. The magnitude of the interference effect depends on the detuning between laser and cavity field and on the relative atomic positions and is strongest for a wavelength spaced lattice of atoms placed at the antinodes of the cavity mode. In this case three dimensional intensity minima are created in the vicinity of each atom. In this regime spontaneous emission is suppressed and the dominant loss channel is cavity decay. Even for a cavity linewidth larger than the atomic natural width, one regains strong interference through the cooperative action of a sufficiently large number of atoms. These results give a new key to understand recent experiments on collective cavity cooling and may allow to implement fast tailored atom-atom interactions as well as nonperturbative particle detection with very small energy transfer.Received: 18 May 2004, Published online: 19 October 2004PACS: 32.80.Pj Optical cooling of atoms; trapping - 42.50.Pq Cavity quantum electrodynamics; micromasers - 42.50.Fx Cooperative phenomena in quantum optical systems     

Detuning-dependent narrowing of Mollow triplet lines of driven quantum dots

We study the two-time correlation function and the resonance fluorescence spectrum of a semi-conductor quantum dot excited by a strong off-resonant laser pulse. The obtained analytic expressions exhibit a specific detuning-dependent damping of Rabi oscillations of the dressed quantum dot as well as a detuning-dependent width of Mollow triplet lines. In the absence of pure dephasing, the central peak of the triplet is broadened upon increasing detuning, but the blue- and red-side peaks are narrowed. We demonstrate that the pure dephasing processes can invert these dependences. A crossover between the regimes of detuning-dependent narrowing and broadening of the side and central peaks is identified. The predicted effects are consistent with recent experimental results and numerical calculations.     

Control and Transfer of Entanglement between Two Atoms Driven by Classical Fields under Dressed-State Representation

We have studied the dynamics and transfer of the entanglement of the two identical atoms simultaneously interacting with vacuum field by employing the dressed-state representation. The two atoms are driven by classical fields. The influence of the initial entanglement degree of two atoms, the coupling strength between the atom and the classical field and the detuning between the atomic transition frequency and the frequency of classical field on the entanglement and atomic linear entropy is discussed. The initial entanglement of the two atoms can be transferred into the entanglement between the atom and cavity field when the dissipation is neglected. The maximally entangled state between the atoms and cavity field can be obtained under some certain conditions. The time of disentanglement of two atoms can be controlled and manipulated by adjusting the detuning and classical driving fields. Moreover, the larger the cavity decay rate is, the more quickly the entanglement of the two atoms decays.     

Spontaneous emission from a Λ three-level atom in an anisotropic photonic crystal

The spontaneous emission properties of a Λ type atom embedded in a three-dimensional anisotropic photonic crystal are investigated. Only one of the two atomic transition frequencies is considered near the photonic band edge. The atomic decay properties such as the time-evolution of the excited-state population and the instant and effective decay rates are studied in detail. It is found that there exists a wide region for the difference of the transition frequency from the band edge, in which only diffusion fields with frequencies being near or far away from the band edge appear in the emitted field. The spontaneous emitted field and its spectrum depend not only on the detuning of the transition frequency from the band edge, but also on the distance from the atom. Therefore, during the propagating process, the propagating field is partially transferred into the diffusion field.     

Collective cooling and self-organization of atoms in a cavity

We theoretically investigate the correlated dynamics of N coherently driven atoms coupled to a standing-wave cavity mode. For red detuning between the driving field and the cavity as well as the atomic resonance frequencies, we predict a light force induced self-organization of the atoms into one of two possible regular patterns, which maximize the cooperative scattering of light into the cavity field. Kinetic energy is extracted from the atoms by superradiant light scattering to reach a final kinetic energy related to the cavity linewidth. The self-organization starts only above a threshold of the pump strength and atom number. We find a quadratic dependence of the cavity mode intensity on the atom number, which demonstrates the cooperative effect.     

Effect of Cavity Decay on Entanglement of Ladder-Type Three-Level Atoms and a Two-Mode Cavity Field

Considering the adiabatical approximation and the large detuning condition, we give the effective Hamiltonian of a ladder-type three levels atom interacting with a bimodal cavity field. If two identical three-level atoms are sent through the cavity one by one, a two-atom entangled state can be generated. With the choice of the appropriate interaction time, a maximally entangled state of two atoms can be obtained if decoherence effect is ignored. Moreover, we discuss the effect of cavity decay on four physical quantities including atomic population probability, residual entanglement of the first atom and the cavity field, concurrence between the two atoms, and fidelity for generating atomic EPR state, all of which decrease with the increase of cavity decay when the other parameters are fixed.     

Generation of cluster-type entangled squeezed vacuum states

We present a scheme to prepare cluster-type entangled squeezed vacuum states （CTESVS） by considering the two-photon interaction between a two-level atom and a high-quality cavity, driven by a strong classical field. After the realization of simple atomic measurements, the generation of CTESVS in four separate cavities is accomplished within the cavity decay time. In the case of large atom=cavity detuning, the scheme is immune to the effect of atomic spontaneous emission.     

Non-Markovian effects on entanglement dynamics in lossy cavities

We consider the non-markovian entanglement dynamics of two independent atoms, each off-resonantly coupling with a zero temperature reservoir. For two types of initial entanglement, corresponding to spin correlated and anti-correlated Bell-like states |φ〉 and |ψ〉, we study the dependence of the two-qubit entanglement transfer on both the off-resonant interactions and the cavity pseudomode decay. The speed of the entanglement transfer is related to the choice of the atom detuning from the cavity pseudomode, the cavity pseudomode decay and the relative coupling. Furthermore, compared to the ideal cavities, entanglement transfer and sudden death can not be prevented using off-resonant interactions in the lossy cavities, and the conservation rules are always satisfied in the off-resonant and lossy system.     

耗散腔中双原子与光场的纠缠演化特性

采用全量子理论方法,研究了处于耗散腔中的双原子与单模相干光场相互作用系统,分析了双原子与光场之间以及两原子之间的纠缠演化特性,讨论了腔场的衰减以及原子与光场间的失谐量对双原子与光场之间以及两原子之间纠缠演化特性的影响.结果表明,当腔场存在损耗时,原子与光场之间可出现纠缠,但在长时极限下,纠缠逐渐消灭|而失谐量对原子与光场间的纠缠存在着显著影响|初始处于最大纠缠的两原子之间的纠缠,由于光场的衰变而逐渐减弱,但原子-光场之间的失谐可抑制这一衰减.