级联环境下双原子的纠缠动力学

文献Phys.Rev.A 90,042108(2014)提出了一种级联环境模型,即单量子系统与光学腔作用,而腔又级联着一个有结构的零温玻色热库。本文在此基础上,研究两个二能级原子在该级联环境下的纠缠动力学,考察原子与腔场的耦合强度、原子间的偶极-偶极相互作用、热库的谱宽度、腔场与库间的失谐对原子间纠缠以及两原子与腔组成的三体纠缠动力学的影响。结果表明,在一定条件下两原子间的二体纠缠和原子-腔的三体纠缠在长时极限下都趋于稳定值,且随着偶极-偶极相互作用增加而增大,而无论腔场与热库耦合强弱,失谐量的增加都可以抑制纠缠的衰减。     

光子禁带中原子间距对三原子间纠缠演化特性的影响

研究了光子禁带模型中三个二能级原子与热库发生相互作用的系统纠缠动力学演化。采用赝模理论和三体负本征值方法描述了系统间的纠缠,通过数值计算分析了热库谱密度函数、原子与赝模间的失谐量以及原子间的偶极-偶极相互作用强度对三原子间纠缠演化的影响。结果表明,在完美带隙模型中,原子间的纠缠随时间的演化会出现俘获现象;原子与赝模间的失谐量使原子间纠缠呈现出非单调性的变化;通过增加原子间距可以提升三原子间的纠缠。     

系统-环境初始关联对纠缠动力学的影响

研究了存在偶偶相互作用的两个二能级原子与共同单洛伦兹热库相互作用模型下的两体间的纠缠动力学行为。主要考虑了原子系统与环境存在初始关联时,两原子间的偶偶相互作用对纠缠动力学的影响,可以发现:偶偶相互作用一定时,马尔科夫环境下初始关联使原子与热库间的纠缠比原子间的纠缠衰减得慢,非马尔科夫环境下初始关联使原子间的振荡减弱;另外在马尔科夫热库中,随着偶偶相互作用的增强,两原子纠缠可以得到提升,而在非马尔科夫热库中,随着偶偶相互作用的增强,原子间及原子与热库间最终保持较大纠缠值。     

开放系统中量子比特与环境纠缠特性的研究

研究了由两个二能级原子与一个零温热库所组成的系统的纠缠动力学过程.考虑原子间的偶偶相互作用及原子与热库之间的失谐,对于初始原子间有纠缠与无纠缠两种情况,研究了不同的参数条件对系统纠缠的影响.计算了两原子间、原子与热库之间的对纠缠以及整个系统的三体纠缠,结果表明在两原子初始处于最大纠缠态时,所有的对纠缠最终都趋于零.增大原子间的偶偶相互作用强度,原子与热库之间的纠缠会被减弱,而原子间的纠缠以及系统三体间的纠缠被增强.增大原子与热库之间的失谐量,两原子之间的纠缠会增大,原子与热库以及三体间的纠缠会减弱.     

耦合腔系统中的三体纠缠演化

研究由耦合腔和四个全同的二能级原子构成的系统中三体纠缠态纠缠量的演化. 四个原子分别囚禁在单模耦合腔A和B中, 并且原子通过单光子跃迁与腔场发生共振相互作用. 采用纠缠张量方法, 通过数值计算研究了每个腔中三体纠缠的演化. 讨论了原子与腔场间的耦合强度对三体纠缠演化的影响. 研究结果表明: 原子与腔场间的两体纠缠强于原子间的两体纠缠, 每个腔中的三体纠缠是两体纠缠相干叠加的结果.     

耦合双Tavis-Cummings模型中的纠缠演化和转移特性

研究了由光纤模连接的两个Tavis-Cummings模型中纠缠演化和纠缠转移的特性。结果表明,初始两原子间的纠缠可转移为另两原子间的纠缠,在纠缠转移过程中,光纤模起到中间传递的作用。纠缠的转移与初始两原子间的纠缠、原子与腔场的耦合强度以及光纤模与腔场的耦合强度、原子与腔场的失谐量和腔场耗散有关。初始纠缠决定了另两原子间纠缠产生的大小;在原子与腔场的耦合强度一定的条件下,随着光纤模与腔场耦合强度的增强,纠缠转移的时间缩短,且产生的纠缠值增加;腔场耗散对纠缠演化的衰减影响是显著的,而失谐量的增加可以有效地抑制这一现象。在整个纠缠转移过程中,系统中其他任两子体系间的纠缠起到了桥梁的作用,实现了两量子纠缠态的远程传递和制备。     

腔量子电动力学系统中耦合三原子的纠缠特性

研究了三个全同二能级原子与单模腔相互作用系统中原子间的三体纠缠特性.考虑原子间存在相互耦合,并且腔场处于弱相干态的情况,通过数值计算给出了纠缠量的演化曲线,讨论了原子间耦合强度和弱相干场强度对三体纠缠的影响.研究结果表明:随弱相干场强度增强,原子间的三体纠缠增强;相反,随原子间耦合系数增大,原子间三体纠缠减弱.     

双光子过程耦合腔系统中的纠缠特性

研究了双光子过程原子与耦合腔相互作用系统,给出了系统总激发数等于2时态矢的演化。采用负本征值来描述两个子系统间的纠缠,利用数值计算方法研究了系统中原子与原子间、腔场与腔场间和原子与腔场间的纠缠特性。讨论了腔场间的耦合强度变化对纠缠特性的影响。研究结果表明:随着腔场间耦合的增强,两原子间的纠缠增强,但原子与腔场间和两腔场间的纠缠却减弱。     

两量子比特与单模光场耦合系统的精确解

对非旋波近似下两量子比特与单模光场耦合系统进行了求解.在定态问题中精确计算了系统能谱与耦合强度g的关系,通过解析求解可以发现,系统能谱中总有一条能级始终为常数与耦合强度g无关.在动力学问题中,研究了初始时刻纠缠在Bell态的两个原子与单模真空态腔场耦合时量子纠缠的演化问题,讨论了纠缠的突然死亡现象.结果表明:量子纠缠的演化具有周期性,随着耦合强度g逐渐增大,纠缠周期T随之减小,第一次出现纠缠突然死亡的时间不断缩短;在耦合强度较小时,随着原子间偶极相互作用参数η的增大纠缠演化周期逐渐增加,并且不会出现纠缠突然死亡.     

原子与热库相互作用系统中的三体纠缠特性

利用Ket-Bra纠缠态方法,求解了原子与热库相互作用系统中的密度矩阵主方程,得到了密度矩阵的演化表达式.考虑三个二能级原子独立与热库相互作用的情况,利用负本征值度量三体纠缠,研究了系统中原子间的三体纠缠特性.采用数值计算方法,讨论了热库平均光子数和原子自发辐射率对原子间三体纠缠特性的影响.研究结果表明:随原子自发辐射率和热库平均光子数的增大,原子间的三体纠缠衰减加快.     

Environment-Induced Entanglement for a Tripartite System in Non-Markovian Dissipation

We show that entanglement between three two-level atoms can be generated if the three atoms interact with a common structured reservoir, but do not interact directly with each other. Comparing with the results in Markovian case, we find that much higher values of bipartite and tripartite entanglement can be obtained for an initially factorized state of the tripartite system. The maximal value of entanglement depends on the detuning and the strength of relative coupling between the atoms and the reservoir.     

Quantum correlation dynamics of three non-coupled two-level atoms in different reservoirs

Time evolution dynamics of three non-coupled two-level atoms independently interacting with their reservoirs is solved exactly by considering a damping Lorentzian spectral density.For three atoms initially prepared in Greenberger-Horne-Zeilinger-type state,quantum correlation dynamics in a Markovian reservoir is compared with that in a nonMarkovian reservoir.By increasing detuning quantity in the non-Markovian reservoir,three-atom correlation dynamics measured by negative eigenvalue presents a trapping phenomenon which provides long-time quantum entanglement.Then we compare the correlation dynamics of three atoms with that of two atoms,measured by quantum entanglement and quantum discord for an initial robuster-entangled type state.The result further confirms that quantum discord is indeed different from quantum entanglement in identifying quantum correlation of many bodies.     

Dynamics of entanglement protection of two qubits using a driven laser field and detunings:Independent and common,Markovian and/or non-Markovian regimes

Preventing quantum entanglement from decoherence effect is of theoretical and practical importance in the quantum information processing technologies.In this regard,we consider the entanglement dynamics of two identical qubits where the qubits which are coupled to two independent(Markovian and/or non-Markovian) as well as a common reservoir at zero temperature are further interacted with a classical driving laser field.Then,we study the preservation of generated two-qubit entanglement in various situations using the concurrence measure.It is shown that by applying the classical driving field and so the possibility of controlling the Rabi frequency,the amount of entanglement of the two-qubit system is improved in the off-resonance condition between the qubit and the central cavity frequencies(central detuning) in both non-Markovian and Markovian reservoirs.While the central detuning has a constructive role,the detuning between the qubit and the classical field(laser detuning) affects negatively on the entanglement protection.The obtained results show that long-living entanglement in the non-Markovian reservoir is more accessible than in the Markovian reservoir.We demonstrate that,in a common reservoir non-zero stationary entanglement is achievable whenever the two-qubit system is coupled to the reservoir with appropriate values of relative coupling strengths.     

High entanglement generation and high fidelity quantum state transfer in a non-Markovian environment

This paper analyses a system of two independent qubits off-resonantly coupled to a common non-Markovian reservoir at zero temperature. Compared with the results in Markovian reservoirs, we find that much higher values of entanglement can be obtained for an initially factorized state of the two-qubit system. The maximal value of the entanglement increases as the detuning grows. Moreover, the entanglement induced by non-Markovian environments is more robust against the asymmetrical couplings between the two qubits and the reservoir. Based on this system, we also show that quantum state transfer can be implemented for arbitrary input states with high fidelity in the non-Markovian regime rather than the Markovian case in which only some particular input states can be successfully transferred.     

二能级系统的马尔可夫与非马尔可夫方法比较

分别用马尔可夫与非马尔可夫方法推导出二能级系统与库相互作用的耗散动力学,并把失谐谱密度与一个光子带隙的谱密度下的计算结果与精确解进行比较。对于失谐谱密度,分别讨论在马尔可夫与非马尔可夫库的激发态布居数,发现无论是短时的弱耦合区域,还是长时间的强耦合区域,非马尔可夫方法比马尔可夫方法更加接近精确解,而马尔可夫近似主要适用于弱耦合条件;对于光子带隙谱密度,主要考虑了小带宽的布居数,结果显示马尔可夫方法主要适用于弱耦合条件,而非马尔可夫方法主要适用于强耦合情形。结果表明:对于不同谱密度、不同的耦合区域,只有选择合适的马尔可夫或非马尔可夫方法才能精确描述系统的动力学。     

High Degree Entanglement Generation of Two Atoms in a Common Non-Markovian Reservoir with Dipole-Dipole Interaction

A system of two interacting qubits off-resonantly coupled to a common non-Markovian reservoir at zero temperature is analyzed. Comparing with the results in Markovian case, we find that much higher values of entanglement can be obtained for an initially factorized state of the two-qubit system. The maximal value of the entanglement increases as the strength of dipole-dipole interaction and detuning grow. Moreover, the entanglement induced by non-Markovian reservoir is more robust against the asymmetrical couplings between the two qubits and the reservoir.     

Properties of Entanglement between the JC Model and Atom-Cavity-Optomechanical System

We investigate the dynamics of remote entanglement in the system consisting of a Jaynes-Cummings model and an atom-cavity-optomechanical system. Meanwhile, we find that the remote entanglement is related to the initial entanglement degree between two atoms, the coupling strength between atom and cavity. Moreover, the phenomenon of entanglement sudden death appears in the evolution of entanglement for some initial conditions. By investigating the entanglement transfer among two atoms and cavity 1, we show that the entanglement transfer can be realized at some special time. In particular, we evaluate the tripartite entanglement of the two atoms and cavity 1 through π-tangle, and prepare the larger tripartite entanglement. This implementation of tripartite entanglement might provide a potential way to realize improved information processing and distributed quantum computing.

     

The Effect of Dipole-Dipole Interaction on Tripartite Entanglement in Different Cavities

The effect of dipole-dipole interaction, the initial relative phase and the coupling strength with the cavity on the dynamics of three two level atoms in the good and the bad cavity regime are investigated. It is found that the presence of strong dipole-dipole interaction not only ensures avoiding entanglement sudden death but also retains entanglement for long time. The choice of the phase in the initial state is crucial to the operational regime of the cavity. Under specific conditions, the entanglement can be frozen in time to its initial values through strong dipole-dipole interaction. This trait of tripartite entanglement may prove helpful in engineering multiparticle entanglement for the practical realization of quantum technology.     

非马尔科夫环境下耦合超导量子系统纠缠演化的数值研究

基于耦合超导量子比特系统模型下,在非马尔科夫环境中利用共生纠缠的方法分析了耦合系统纠缠的产生及其动力学的演化。研究了不同初始纠缠态下的纠缠猝死(ESD)和纠缠再生(ESB)现象;主要分析了系统耦合强度、库的截止频率与系统的振荡频率间的比值、温度和约瑟夫森能级差对纠缠演化的影响。结果表明:系统纠缠取决于初始纠缠态和系统的耦合强度J,并且通过调节以上非马尔科夫环境的相干参数可以延长解纠缠时间来确保量子计算过程中的应用和量子信息的实现。