Nonlocal non-Markovian effects in dephasing environments

We study the nonlocal non-Markovian effects through local interactions between two subsystems and the correspond- ing two environments. It has been found that the initial correlations between two environments can turn a Markovian to a non-Markovian regime with extra control on the local interaction time. We further research the nonlocal non-Markovian effects from two situations： without extra control, the nonlocal non-Markovian effects only appear under the condition that two local dynamics are non-Markovian-non-Markovian （both of the two local dynamics are non-Markovian） or Markovian- non-Markovian, but not under the condition of Markovian-Markovian; with extra control, the nonlocal non-Markovian effects can occur under the condition of Markovian-Markovian. It shows that the function of correlations between two environments has an upper bound, which makes a flow of information from the environment back to the global system beginning finitely earlier than that back to one of the two local systems, not infinitely. Then, we proposed two special ways to distribute classical correlations between two environments without initial correlations. Finally, from numerical solutions in the spin star configuration, we found that the self-correlation （internal correlation） of each environment promotes the nonlocal non-Markovian effects.     

木块及液体表面振动讨论

讨论了在柱形容器的液体表面 ,柱形木块和液体表面的振动以及圆锥形木块在无限大液面上的无阻尼振动。得到的结论为 :柱形木块在柱形容器中无阻尼振动时 ,木块和液体表面都作简谐振动 ,振动频率与柱形容器的底面积与木块的底面积都有关系 ;无穷大液体表面的圆锥形木块的振动是非简谐振动。     

任意量子位Grover量子搜索算法的NMR脉冲序列的理论设计及NMR实验验证

Grover量子搜索算法是目前量子计算理论和实验中研究最广泛, 而且已被核磁共振(NMR)实验所验证的一种量子算法. 提出了多量子算符代数理论(Miao X. Mol. Phys. 2000, 98: 625), 设计了任意量子比特的Grover算法的NMR实验脉冲序列, 即NMR量子计算程序, 并用NMR实验验证了其中2个量子比特的Grover算法计算程序, 初步表明了多量子算符代数理论的正确性.     

Resonance-enhanced multiphoton ionization of NO via X2П→A2∑ transition

The resonance-enhanced multiphoton ionization (REMPI) spectrum of NO has been obtained in the range of 420-480 nm with a Nd:YAG pumped optical parametric generator and amplifier. The spectral linescan be attributed to NO X2П(v" = 0, 1) → A2∑(v' = 0, 1) transitions. In this wavelength range, NO molecules are ionized via the resonant intermediate state A2∑+ and by a (2 + 2) REMPI process. The dependence of ion signals on laser intensity and gas pressure is discussed. The variation of the ionization signal versus laser intensity is near quartic. This is in good agreement with theory.     

利用核磁共振产生无耦合自旋之间的纠缠

纠缠是量子信息中重要的资源,因此产生纠缠是实现量子信息处理的一项基本任务.通常,用整体操作和纠缠交换等方法可以产生纠缠.在大多数的物理体系中,量子位之间没有相互作用,但需要产生它们之间的纠缠.在这种情况下,如何产生纠缠?并且,产生纠缠需要预先的纠缠吗?     

NO通过C~2Π←X~2Π跃迁的共振多光子离化谱

以皮秒Nd∶YAG激光器抽运光学参变发生 /放大器做激发源 ,得到了NO分子在 4 90～ 5 80nm波长范围内通过C2 Π态共振增强的多光子离化谱 ,离化谱由有规则的谱线序列组成。将理论计算的峰值位置与实验结果进行比较 ,确定了离化通道为 :NO(X2 Π) 3hνNO(C2 Π) 2hν(orhν) NO+ +e ,离化信号强度随激光强度的近五次方变化关系进一步验证了此结论。分析讨论了谱线强度的分布不符合夫兰克康登原理的可能原因。根据谱线峰值位置 ,利用最小二乘法拟合获得NO分子C2 Π态振动常数′ωe=(2 35 4 .9± 6 .4 )cm-1,′ωe ′χe=(14 .7± 2 .5 )cm-1及平衡位置的力常数k=(2 .4 4± 0 .0 8)× 10 3 N·m-1。结果可为用激光离化光谱技术探测大气污染物NO分子提供参考。     

Energy Spectrum Symmetry of Heisenberg Model in Fock Space

We extend the BCS paring model with equally spaced energy levels to a general one-dimensional spin-1/2 Heisenberg model The two well-known symmetries of the Heisenberg model, i.e. permutational and spin-inversion symmetries, no longer exist. However, when jointing these two operations together, we find a new symmetry of energy spectrum between its subspace n and subspace L - n of the Fock space. A rigorous proof is presented.     

无直接耦合自旋之间的量子信息传递

核磁共振量子计算机在实现多量子位之间的信息传递时, 随着量子位的增多, 物理距离相距较远的量子位之间的耦合作用会很弱, 从而很难在没有耦合的量子位之间直接实现信息的传递. 然而根据量子超密编码原理和自旋交换操作, 可以在两个没有直接相互作用的自旋之间实现两位经典信息的传递. 根据量子超密编码和自旋交换操作的原理, 分析了无直接耦合自旋之间的量子信息传递的方法和过程, 并且在核磁共振模拟机和谱仪上实现.     

The theoretic design of NMR pulses program of arbitrary N-qubit Grover's algorithm and the NMR experiment proof

Grover's quantum searching algorithm is most widely studied in the current quantum computation research, and has been implemented experimentally by NMR (Nuclear Magnetic Resonance) technique. In this article, we design arbitrary N-qubit NMR pulses program of Grover's algorithm based on the multiple-quantum operator algebra theory and demonstrate 2-qubit pulses program experimentally. The result also proves the validity of the multiple-quantum operator algebra theory.     

NO分子共振增强的多光子离化机制

用皮秒Nd：YAG激光器泵浦光学参量发生／放大器做激发源,获得了420～480nm波长范围内NO分子的多光子离化谱。通过对谱线的归属,分析确定了NO分子的离化为以A^2∑为中间共振态的(2 2)共振增强的多光子离化过程。以速率方程为基础,利用激光脉宽较窄(35ps)的条件,推导出离化信号随激光强度呈近四次方变化关系,与实验测量结果相符,这可为用共振增强多光子离化(REMPI)光谱技术探测污染物NO分子提供实验参考。