Emission Spectrum from Two Atoms in Bell States in a Cavity

By means of time-evolution operator, the emission spectrum from two two-level entangled atoms in Bell states interacting with a single-mode cavity field in the Fock state has been studied in the paper. The physical spectrum expression of radiation emitted by the atoms is given out for each Bell state. In general, the spectrum shows the symmetrical multi-peak structure and the symmetrical three-peak structure with the strong optical input. Bell states composed of two identical atoms can be partially distinguished in view of the characterizations of their emission spectrum.     

Bell态原子与腔场拉曼相互作用的辐射谱(英文)

采用时间演化算符方法 ,研究了Fock态腔场内通过拉曼相互作用的Bell态下两原子的辐射谱 ,给出了原子辐射谱的物理表达式。在每个Bell态下辐射谱呈现出不同的对称的多峰结构     

Complete and Nondestructive Atomic Bell‐State Analysis Assisted by Inverse Engineering

A protocol for complete and nondestructive atomic Bell‐state analysis by using inverse engineering is presented. The setups for the Bell‐state analysis contain four atoms trapped in four separated cavities, respectively. The laser pulses designed by inverse engineering help in the manipulation of the transitions of atoms in a robust manner. By using the protocol, the information for distinguishing four Bell states of two information‐carrying atoms is encoded on two auxiliary atoms. Therefore, the four Bell states can be distinguished without being destroyed by detecting the states of the two auxiliary atoms. Moreover, as shown by the numerical simulations, the protocol has high successful probabilities to distinguish four Bell states when decoherence is considered. Thus, the protocol may provide some helpful perspectives for the quantum information tasks based on Bell states.     

与两等同Bell态纠缠原子相互作用光场的量子场熵

利用全量子理论,并通过数值计算,研究了初始处于Fock态的单模光场与两等同双能级纠缠原子单光子共振相互作用过程中单模光场量子场熵的时间演化特性.结果发现:当两原子初始处于第一种Bell态时,光场量子场熵的时间演化周期为π/g2(2n+1);随着初始光强的增大,光场与原子之间的量子纠缠现象减弱;特别是当时间t为演化周期的整数倍时,场－原子系统处于退纠缠状态.当两原子初始处于第二种Bell态时,光场量子场熵不随时间变化,恒为零.当两原子初始分别处于第三种和第四种Bell态时,光场量子场熵的时间演化曲线呈现不等幅周期振荡现象;并且随着初始光场光子数的增加,光场量子场熵的振荡周期逐渐增大,但振荡幅值逐渐减小.     

含Kerr介质的Fock态和相干态腔场中耦合双原子辐射谱

研究了在充满Kerr介质的高Q腔中两个具有偶极-偶极相互作用的二能级原子辐射谱,给出了初始光场为Fock态和相干态时辐射谱的数值结果.讨论了Kerr效应对谱结构的影响.在初始注入光场为较强的相干态时,辐射谱除中心单峰外,两侧各出现一个多峰梳状边带,峰的个数随初始场平均光子数-n的增大而增多,峰间距随Kerr介质与光场的耦合系数X的增大而增大,两个边带则随Xn-的增大逐渐远离.     

双模相干态和压缩真空态光场-非等同两原子体系的腔场谱

研究了两个非等同二能级原子与双模腔场相互作用过程的腔场谱.导出了双模初始光场处于任意量子态时腔场谱的计算公式,给出了光场处于相干态和压缩真空态时的数值结果,讨论了相对耦合常数R=g2/g1和初始场强对腔场谱的影响.发现相干态光场的腔场谱在R很小时为双峰,在R接近于1时为3峰.压缩真空态的腔场谱在弱场条件下表现为复杂的多峰结构,在强场条件下则只有单一经典共振峰或裂距很小的双峰.     

Generation of maximally entangled atom pairs in driven dissipative cavity QED systems

We investigate the entanglement of an open tripartite system where a cavity field mode in thermal equilibrium is off-resonantly coupled with two atoms that are simultaneously driven by a resonant coherent field. For moderately detuned atom-field coupling and strong atomic driving we show the generation, at given interaction times and for low enough cavity decay rates, of atomic Bell states and of Bell state superpositions relevant for quantum gates implementation. The system can oscillate between bi-separable and fully separable states. Also we describe the distribution of quantum correlations between the atom-atom and the two atom-field subsystems. In the dispersive coupling regime with strongly driven atoms we show the generation of nearly stationary Bell states which remain protected from cavity dissipation.     

好腔中的Bell态原子与纠缠相干态光场相互作用系统的保真度

考虑原子间偶极相互作用,求出好腔中的Bell态原子与纠缠相干态光场相互作用系统的保真度。结果表明,对于理想腔,若原子初始时刻处于相干保持态,系统保真度始终等于1;若原子初始时刻处于其余Bell态之一,腔场初态的平均光子数很小,系统保真度在0～1之间作周期性振荡,随着腔场初态的平均光子数的增加,系统保真度的振荡频率增大,振幅减小。对于好腔,若原子初始时刻处于相干保持态,系统保真度呈指数单调衰减;若原子初始时刻处于其余Bell态之一,系统保真度呈指数振荡衰减,且随着腔场初态的平均光子数的增加,系统保真度的振荡频率增大,振幅减小。     

好腔中的Bell态原子与纠缠相干态光场相互作用系统的保真度

考虑原子间偶极相互作用,求出好腔中的Bell态原子与纠缠相干态光场相互作用系统的保真度.结果表明,对于理想腔,若原子初始时刻处于相干保持态,系统保真度始终等于1;若原子初始时刻处于其余Bell态之一.腔场初态的平均光子数很小,系统保真度在0～1之间作周期性振荡,随着腔场初态的平均光子数的增加,系统保真度的振荡频率增大,振幅减小.对于好腔,若原子初始时刻处于相干保持态,系统保真度呈指数单调衰减;若原子初始时刻处于其余Bell态之一,系统保真度呈指数振荡衰减,且随着腔场初态的平均光子数的增加,系统保真度的振荡频率增大,振幅减小.     

Dynamical behavior of entanglement, purity and energy for two atoms in the presence of dissipation

Entanglement, purity and energy of two isolated two-level atoms which are initially prepared in Bell state and each interacts with a dissipative thermal cavity field are investigated with considering the atomic motion and the field-mode structure. We give the analytical solution of the atomic state by using the algebraic dynamics approach. The influences of the field-mode structure, the dissipation of the cavities, the strength of the thermal field and the detuning on the entanglement, purity and energy are discussed. We also study the evolution of the atomic state using the entanglement-purity-energy diagrams. Our results suggest that the disentanglement process of the atomic state accompanies with the excitations transferring from atoms to the cavity field modes and with the state converting from a pure one to the mixed ones. When the two atoms become separable, they must be in the mixed states, and their energy decreases with the increase of the purity.     

双模腔场中两偶极相互作用原子的辐射谱

研究了双模腔场中两个偶极相互作用原子的辐射谱，详细讨论了双模腔场分别处于不同数态时的情形，发现其辐射谱具有如下特点：当两模腔场均处于真空态时，随着δ＝ｇ_a／ｇ的增加，辐射谱交替出现六峰、五峰结构，且在δ（＝３^－１／２）很小时就出现了非对称五峰结构，与单模双原子情形相比较，更为灵敏地反映出原子间的偶极相互作用；当一腔场为真空场，另一腔场为强场时，辐射谱显示出对称的六峰结构，任意两对称峰的间距与(2ｎ₂)^１／２ｇ成正比；当 关键词：     

非共振耗散腔耦合系统的发射光谱

研究了非共振耗散二能级双原子与双单模腔耦合系统发射光谱的性质。探讨了原子和腔场之间的失谐、腔场衰减率及原子失相对该系统发射光谱的影响。结果表明,体系的腔场谱呈现出三重峰结构,原子发射谱呈现出二重峰结构。非共振情况时,腔场谱和原子发射谱的图像皆为非对称图像。在原子与腔场失谐时,与共振情况相比,峰位发生了明显的漂移,且中峰明显增大。增大腔场与原子的失谐,会引起边峰向低频段漂移,并改变其光谱强度;增大原子与腔场的失谐,可以使光谱整体向低频段漂移,并改变其所有峰的光谱强度。随着腔场衰减率的增大,共振情况下,会导致边峰的强度减小;失谐情况下,会导致所有峰的强度均减小。随着原子失相的增大,共振或失谐情况下,会使光谱所有峰的强度均减小。     

Bell态原子与双模纠缠相干光场相互作用的纠缠特性

运用Negativity熵研究了Bell态原子与双模纠缠相干光场相互作用系统中两个全同二能级原子之间的纠缠演化特性.分析了光场强度、光场纠缠度及原子间相互作用强度对纠缠的影响.结果表明:原子处于|β11〉时,两原子始终处于最大纠缠态;原子处于|β00〉时,初始纠缠的两原子始终较长时间处于退纠缠状态;原子处在|β10〉时,增大双模光场的平均光子数可以明显增大两原子之间的纠缠度并保持较大的纠缠状态;原子初态处在|β01〉时,原子间的相互作用强度对双原子间纠缠度有较显著的非线性调制作用.     

双模纠缠相干光与Bell态原子系统的光子统计

运用全量子理论并结合数值计算方法,研究了处于Bell态的两个全同二能级纠缠原子与双模纠缠相干光场相互作用系统的光子统计性质.分析了双原子体系的初态、光场的平均光子数、双模纠缠相干光场的纠缠程度以及双原子体系的原子间耦合强度对双模光场的光子统计性质的影响.结果表明：双原子体系的初态为｜β00〉、｜β10〉时,光场在其演化过程中不出现光子的反聚束效应；而当原子初态为｜β01〉或｜β11〉时,在一定的条件下可出现光子的反聚束效应.并且在光场的演化过程中,光子的反聚束效应出现的次数、时间和深度极其敏感地依赖于初始光场的平均光子数,而受到双模纠缠光场的纠缠程度以及双原子间偶极作用强度的影响很微弱.     

Simulation of the Ising model,memory for Bell states and generation of four-atom entangled states in cavity QED

A scheme is proposed to simulate the Ising model and preserve the maximum entangled states (Bell states) in cavity quantum electrodynamics (QED) driven by a classical field with large detuning. In the strong driving and large-detuning regime, the effective Hamiltonian of the system is the same as the standard Ising model, and the scheme can also make the initial four Bell states of two atoms at the maximum entanglement all the time. So it is a simple memory for the maximal entangled states. The system is insensitive to the cavity decay and the thermal field and more immune to decoherence. These advantages can warrant the experimental feasibility of the current scheme. Furthermore, the genuine four-atom entanglement may be acquired via two Bell states through one-step implementation on four two-level atoms in the strong-driven model, and when two Greenberger-Horne-Zeilinger (GHZ) states are prepared in our scheme, the entangled cluster state may be acquired easily. The success probability for the scheme is 1. Supported by the National Natural Science Foundation of China (Grant No. 10774088) and the Key Program of the National Natural Science Foundation of China (Grant No. 10534030)     

耦合双原子与单模场喇曼相互作用模型的腔场谱

研究了存在偶极-偶极相互作用的两个等同二能级原子与单模光场喇曼耦合过程的腔场谱.结果表明,当两原子处于同一能级时,腔场谱在弱场和强场条件下相应地为五峰和三峰结构.当两原子初态处于不同能级时,交换对称性对谱结构有明显的影响. 原子间的相互作用只在初始场很弱时才会影响谱结构.     

Entropy of field interacting with two two-qubit atoms

We use quantum field entropy to measure the degree of entanglement for a coherent state light field interacting with two atoms that are initially in an arbitrary two-qubit state. The influence of different mean photon number of the coherent field on the entropy of the field is discussed in detail when the two atoms are initially in one superposition state of the Bell states. The results show that the mean photon number of the light field can regulate the quantum entanglement between the atoms and light field.     

Kerr效应对非线性J-C模型辐射谱的影响

研究了Kerr介质腔中非线性J-C模型的辐射谱.导出了双模初始光场处于任意量子态时辐射谱的计算公式,给出了光场处于数态、相干态和压缩真空态时的数值结果,讨论了Kerr效应和初始场强对辐射谱的影响.发现在光子数态的情况下,Kerr效应使低频峰增强、高频峰减弱,并使各峰向右移动.在初始腔场为较强的相干态时,原子辐射谱明显地分成两个拱形的梳状峰群,Kerr效应的增强使左侧峰群增高,右侧的边峰受到抑制.在压缩真空态情况下,边带峰只出现在中心频率双峰的左侧,随Kerr效应和初始场的增强,边峰个数也随之增多.无论哪种情况都破坏谱结构的对称性,在强场条件下Kerr效应的影响更加显著.     

非等同两原子与光场相互作用系统的腔场谱

研究了两个二能级原子与单模腔场具有不同耦合常量系统的腔场谱,讨论了量子化光场分别处于不同的光子数态时腔场谱结构随相对耦合常量R变化的新特性。发现随着R由0到1的增加,腔场谱各对应峰峰位相对腔场原共振频率ω0对称偏移;真空场（n=0）的峰高在0〈R〈0．3内变化较快,其拉比峰个数按2→6→4规律变化;弱场（n=1）峰高在0〈R〈0．5内变化较快,其峰数量按2→6→12→9→7规律变化;强场（n=8）峰高在0〈R〈0．1内改变迅速,其峰数量按2→8→11→5规律变化,谱结构显得更加复杂;进一步的计算表明,当n〉〉8时。其峰的数量按3→5→3规律变化。同时发现,R=0和R=1时,峰的数量相对较少。各峰峰高之和由最小单调增至最大,这在物理上反映了原子的协作效应。     

Λ-型三能级单原子的辐射谱

采用时间演化算符方法，研究腔内单模光场中Λ－型三能级单原子的辐射谱，给出了辐射谱一般公式，并讨论在粒子数纯态、相干态和热辐射三种光场激励下的辐射频谱结构。