Entanglement Evolution of Two-Coupled Spins in a Time-Dependent Rotating Magnetic Field

We study the dynamics evolution of a two-qubit Heisenberg XXX spin chain under a time-dependent rotating magnetic field. Based on the algebraic structure of the non-autonomous system, the exact solution of the Schrodinger equation is obtained by using the method of algebraic dynamics. Based on the time-dependent analytical solution, we further study the entanglement evolution between the two coupled spins for different initial states, and find that the entanglement is determined by the coefficients of the initial state and the coupling constant J of the system.     

频率变化的相干态光场中两原子纠缠演化

研究了频率变化的相干态光场中两个二能级原子的纠缠演化,主要讨论了光场频率随时间作正弦调制和脉冲调制两种典型情况下两原子纠缠随时间演化的特点.数值计算结果表明,当光场频率随时间作正弦调制时,光场频率,光场平均光子数均对原子纠缠演化有影响,且在少光子数的情况下,在光场频率变化的半周期内纠缠值出现小幅快速振荡;而当光场频率随时间作脉冲调制时,由于脉冲频率的突变,也在脉冲出现的区间内诱导出了原子纠缠值的小幅快速振荡现象.分析表明光场频率的改变可以改变原子相十性,进而改变了原子间纠缠效应,这对量子信息技术中纠缠制备与控制有积极意义.     

Quantum Entanglement in a System of Two Spatially Separated Atoms Coupled to the Thermal Reservoir

We study quantum entanglement between two spatially separated atoms coupled to the thermal reservoir. The influences of the initial state of the system, the atomic frequency difference and the mean number of the thermal field on the entanglement are examined. The results show that the maximum of the entanglement obtained with nonidentical atoms is greater than that obtained with identical atoms. The degree of entanglement is progressively decreased with the increase of the thermal noise. Interestingly, the two atoms can be easily entangled even when the two atoms are initially prepared in the most mixed states.     

Entanglement Evolution Between Various Subsystems of Two Three-level Atoms Interacting with a Two-mode Quantized Field in the Presence of Converter Terms

In this paper, we study the interaction between two Λ-type three-level atoms (a typical qutrit-qutrit system) and two coupled modes of a quantized radiation field in the presence of field-field interaction (parametric down conversion) which are simultaneously injected within an optical cavity. Then, by applying an appropriate canonical transformation, the introduced model is reduced to a well-known form of the generalized Jaynes-Cummings model. Under particular initial conditions for atoms (in some possible states) and the fields (in the finite dimensional pair coherent state) which may be prepared, the explicit form of the state vector of the whole system is analytically evaluated. In order to find the degree of entanglement between different parts of subsystems (“atom+atom”-field, “atom+field”-atom and atom-atom) the dynamics of entanglement through different measures, namely, linear entropy and negativity is evaluated. In each case, the effect of various types of initial atomic states on the above measures are numerically analyzed, in detail. It is indicated that the amount of entanglement can be tuned by choosing appropriate initial states of atoms. Particularly, it is shown that the entanglement sudden death (ESD) can be controlled by adjusting the initial state of the atoms.     

两原子与数态场相互作用系统中纠缠的调控

通过计算并发度研究了两个处于初始激发态的两能级原子与数态场相互作用系统的纠缠动力学特性,并讨论了场的光子数、原子和场的失谐量以及原子操作对并发度的影响。结果表明当不存在原子操作时,两原子之间的纠缠出现突然产生现象,并且可以通过调节光子数和原子与场的失谐量来控制产生纠缠的阈值时间和纠缠的最大值。当存在原子操作时,两原子之间的纠缠随着时间的演化可以立即产生,而且通过对经典场的操作和控制可以实现两原子之间纠缠的调控。     

Thermal Entanglement Properties in Two Qubits One-Axis Spin Squeezing Model with an External Magnetic Field

In a recent article in this journal Guo-Hui (Int. J. Theor. Phys. 56, 600, 2017) has investigated the quantum correlation properties in the two qubits one-axis spin squeezing model with an external magnetic field by means of concurrence (C) and quantum discord (QD) criteria. We are to reveal numerically and analytically that in the limiting case T→ 0 (ground state) the sudden disappearance phenomenon (SDP) does not occur in the behavior of C and the values obtained for C are incorrect.

     

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。     

Entanglement of Three Atoms Induced by a Coherent Field

We calculate the concurrence and spin squeezing parameter of three atoms induced by a coherent field.It shows that when the mean numbers of photon of the field is very small, concurrence exhibits a certain kind of approximative periodic vibration. With the increase of the mean numbers of photon, its periodicity will be interrupted.As for the relationship between the concurrence and spin squeezing, numeric result shows that under Dick model, spin squeezing serves as a sufficient but not necessary condition for concurrence.     

Entanglement and Pancharatnam Phase for Two Two-Level Atoms Interacting with a Single Mode Field

A model of two 2-level atoms interacts with a single quantized electromagnetic field is considered. We study the effect of the mean photon number and the structure of the initial states of the two atoms on the dynamics of the atomic system from the separability point of view. It is found that, if we start from a product mixed atomic state, the probability of generating long living entangled states is increased as the mean photon number increases. Starting from excited atomic system in product state, one generates a more stable entangled states with high degree of entanglement. Also, the effect of the mean photon number on atomic system prepared initially in entangled states is investigated. It is found that the entangled state generated from the initially partial entangled states are more robust than those obtained from a maximum entangled state. The Pancharatnam phase for the separable and entangled states is studied under the effect of the mean photon number and the structure of the initial state. We find that for the separable states, the collapses decrease and the amplitude of the revivals is smaller than that for the entangled state, so there are long-living entangled phases. This property give us a great chances to store safely information in entangled state.     

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.     

Dynamics of a Quantum Emitter Coupled to a Metal Nanostructure in the Presence of External Resonant Field

The relaxation dynamics of a quantum dipole emitter coupled to a metal nanostructure in the presence of an external resonant pump field is studied. It was found that in the mode of weak pumping, the phase of the response from a metallic nanostructure plays a key role in the dynamics of the quantum dipole emitter and allows one to control the fluorescence process. It is shown that when the phase shift is set close to π/2, the quantum emitter makes a quick transition into the ground state, then slowly passes into a superposition state with a small probability to remain in an excited state. Meanwhile, in the case of phase shift values close to 3π/2, the system relaxes into a stationary superposition state where the probability to be in the excited state is close to unity. It was established that the dynamics of the system also depends on the intensity of the external field and with the amplification of the latter, the system enters into the mode of the asymmetric Rabi oscillations.     

热辐射场中两个耦合的二能级原子量子态的纠缠

两个偶极耦合的二能级原子置于热辐射场中,原子用泡利算符描述,环境用无穷的谐振子热库描述,运用密度矩阵方法,得到两能级原子密度矩阵元演化规律.针对三种不同的初始状态,利用共生纠缠度分析置于热辐射场中原子量子态的纠缠.结果表明:当两个原子初始处于不同量子叠加态时,原子的纠缠呈现出明显的差异.     

Entanglement Dynamics of Two Atoms in a Double Damping Jaynes-Cummings System

The entanglement between two stationary qubits is a kind of valuable quantum resources in quantum information or quantum network. This paper investigates the time evolution of the entanglement between two atoms,which are initially prepared in the Bell states and each of which interacts with its own cavity field in the identical and non-identical double damping Jaynes-Cummings(J-C) system. It mainly considers the effect of the atomic spontaneous decay Γ and the decay of cavity field κ on the two-qubit entanglement in such system. While causing the decay of entanglement, Γ and κ can also play a positive role in the entanglement evolution, which may imply a way to better control and maintain the entanglement. What is more, the rules governing the transfer of entanglement between two-qubit subsystems in strong coupling regime are finally studied by taking Γ and κ into consideration.     

Quantum Entanglement and Correlation of Two Qubit Atoms Interacting with the Coherent State Optical Field

International Journal of Theoretical Physics - Using the three criterions of the concurrence, the negative eigenvalue and the geometric quantum discord, we investigate the quantum entanglement and...     

与Glauber-Lachs态相互作用的双原子间的纠缠演化

利用全量子理论,对伴随多光子跃迁时与Glauber-Lachs态相互作用的两个原子间的纠缠特性进行了研究,主要讨论了相干平均光子数、热平均光子数和跃迁光子数对系统中原子间的纠缠特性的影响.结果表明:系统中原子间的纠缠度是相干平均光子数的非单调函数;随着热平均光子数和跃迁光子数的增加,系统中原子间的纠缠度有减小的趋势,伴随双光子跃迁时系统中原子间的纠缠度随时间的演化呈现周期性.     

Entanglement of Two Atoms in Insulator and Superfluid States

We study two coupled cavities, each of which contains two two-level atoms. We identify the regions of Mott-insulator and superfluid states. Ground-state entanglement of two atoms in one cavity has been investigated. The result show that quantum entanglement of two atoms within one cavity can also characterize quantum phase transition.     

六极子磁场中自旋轨道耦合玻色-爱因斯坦凝聚体的基态结构

研究囚禁在环形势中的Rashba自旋轨道耦合玻色-爱因斯坦凝聚体在六极子磁场中的基态特性。在这种情况下,磁场破坏了自旋轨道耦合哈密顿量的旋转对称性,但系统仍具有2π/3的离散对称性。数值结果发现:在弱相互作用情况下,六极子磁场和Rashba自旋轨道耦合使环形囚禁的凝聚体呈类六边形的基态密度分布,当磁场强度超过某一临界值时,凝聚体将崩塌;在强相互作用情况下,半量子涡旋出现在凝聚体中,且被六极子磁场钉在方位角Ф=nπ/3的径向位置,涡旋的旋转方向取决于径向磁场的方向。     

耦合到马尔科夫和非马尔科夫环境下两相互作用原子系统纠缠动力学特性的研究

通过计算线性熵研究了两相互作用量子比特在马尔科夫和非马尔科夫环境下的纠缠随时间的演化特性,讨论了偶极相互作用强度和原子与库中心频率失谐量对纠缠的影响.结果表明线性熵随着偶极相互作用强度以及原子与库中心频率失谐量的增大而减小,在马尔科夫环境下线性熵在短时间内趋于稳态值,而在非马尔科夫环境下线性熵随时间的演化呈现振荡行为.