Double-Mode Excited Entangled Coherent States and Their Fidelity

In this paper, we introduce the definition of a new kind of continuous-variable-type entangled coherent states, called double-mode excited entangled coherent states through acting creation operators on the double-mode entangled coherent states. We briefly present how to produce them from the two mode ECSs through an interaction between laser and atoms. We further focus on studying the fidelity of the states and discussing the influence of photon excitations on fidelity.     

非线性相干态光场与二能级原子相互作用系统的保真度

借助于数值计算的方法,研究了非线性相干态光场与一个二能级原子的相互作用系统保真度的变化规律.讨论了不同的原子初态和光场参量α以及Lamb-Dicke参数η对系统和光场保真度的影响.结果表明,选择合适的参量,我们可以找到保真度平均值较大,振荡幅度较小的光场态.如果我们把光场看作量子信息载体,寻找到保真度高的非线性相干态就是找到了抗干扰能力强的量子态,这在量子通信过程中具有极大的应用价值.     

Decoherence and Fidelity in Teleportation of Coherent Photon-Added Two-Mode Squeezed Thermal States

We theoretically introduce a kind of non-Gaussian entangled resources, i.e., coherent photon-added two-mode squeezed thermal states (CPA-TMSTS), by successively performing coherent photon addition operation to the two-mode squeezed thermal states. The normalization factor related to bivariate Hermite polynomials is obtained. Based upon it, the nonclassicality and decoherence process are analyzed by virtue of the Wigner function. It is shown that the coherent photon addition operation is an effective way in generating partial negative values of Wigner function, which clearly manifests the nonclassicality and non-Gaussianity of the target states. Additionally, the fidelity in teleporting coherent states using CPA-TMSTS as entangled resource is quantified both analytically and numerically. It is found that the CPA-TMSTS is an entangled resource of high-efficiency and high-fidelity in quantum teleportation.     

Adiabatic Energies of Excited Σu States of the Hydrogen Molecule

Accurate Born-Oppenheimer potential energy curves and adiabatic corrections are computed for the six lowest ¹Σ_u states of the hydrogen molecule. For the 4¹Σ_u-6¹Σ_u states adiabatic term values of the vibrational levels supported by the potentials and the corresponding rotational constants are given. For the outer potential well of the 6¹Σ_u state, Franck-Condon factors are listed for the possible transitions to the HH?¹Σ_g state.     

纠缠态原子与相干光场作用的量子信息保真度

研究了初始处于纠缠态的双原子与相干光场的相互作用。结果表明,不同的失谐量和初始平均光子数使得系统、原子和光场的量子信息保真度发生改变。     

Design of Selective Adiabatic Inversion Pulses Using the Adiabatic Condition

Adiabatic RF pulses play an important role in spin inversion due to their robust behavior in the presence of inhomogeneous RF fields. These pulses are characterized by the trajectory swept by the tip of theB_effvector and the rate of motion along it. In this paper, we describe a method by which optimized modulation functions can be constructed to render insensitivity toB₁inhomogeneity over a predeterminedB₁range and over a wide band of frequencies. This is accomplished by requiring that the optimized pulse fulfill the adiabatic condition over this range ofB₁inhomogeneity and over the desired frequency band for the complete duration of the pulse. A trajectory similar to the well-known sech/tanh adiabatic pulse, i.e., a half-ellipse, is used. The optimization process improves the slice profile by optimizing the rate of motion along this trajectory. The optimized pulse can be tailored to the specific design requirements; in particular, the transition sharpness may be traded off against the inverted bandwidth. Two design examples, including experimental results, demonstrate the superiority of the optimized pulses over the conventional sech/tanh pulse: in the first example, a large frequency band is to be inverted using a weak RF amplitude in a short time. In the second example, a pulse with a very sharp transition is required.     

Random Classical Fidelity

We introduce a random perturbed version of the classical fidelity and we show that it converges with the same rate of decay of correlations, but not uniformly in the noise. This makes the classical fidelity unstable in the zero-noise limit.     

Adiabatic Quantum Gates

We discuss the logic implementation of quantum gates in the framework of the quantum adiabatic method, which uses the language of ground states, spectral gaps and Hamiltonians instead of the standard unitary transformation language.     

Adiabatic decoupling sidebands

An analytical solution is given for amplitudes and phases of adiabatic decoupling sidebands as a function of spin inversion time tau. Since all the adiabatic decoupling phases theta(t, tau) refocus at two periods (2T) of the decoupling pulse, the sidebands are located at n/2T rather than at n/T as observed in other decoupling schemes. The real (R(n)(tau)) and imaginary (I(n)(tau)) amplitudes of the sidebands have symmetry R(n)(tau) = R(-n)(tau) and I(n)(tau) = -I(-n)(tau), forming a mirror image between the counterparts of the sidebands. When frequency sweep changes direction all I(n)(tau) are inverted while all R(n)(tau) remain unchanged, leading to pure absorption sidebands with two accumulations as demonstrated by Kupce and Freeman, and to an exchange of sidebands between counterparts. The sum of the real parts for sidebands n = 1 and 2 is almost a constant near on-resonance decoupling, and it increases substantially for large decoupling offsets. The phase defocusing can be minimized for all decoupling offsets by inserting an initial decoupling period with T(ini) = T/2, eliminating all sidebands located at n/2T (n = +/-1, +/-3, +/-5, ...).     

Stochastic Adiabatic Wall

Non-equilibrium statistical mechanics is applied to the adiabatic piston problem. In one dimension the piston is modelled by a structureless particle possessing a single translationary degree of freedom. Its stochastic motion induced by collisions is shown to ensure the thermal energy flow between the separated volumes of the fluid. From the fundamental point of view, the piston with a finite mass is thus not adiabatic in the thermodynamic sense. However, physically relevant conclusions should take into account the time scales involed.     

Adiabatic compressibility of AOT

The self-assembly of amphiphilic molecules into supramolecular aggregates involves a number of complex phenomena and forces. Recent developments of highly sensitive, densimetric and acoustic methods on small volume samples have provided novel sensitive probes to explore the physical properties of these complex fluids. We have investigated, by high precision densimetry and ultrasound velocimetry, reverse micelles of [sodium bis(2-ethylhexyl)sulfosuccinate] in oil (isooctane and decane), at increasing water concentration and at variable micellar volume fractions. The size of these spherical micelles has been determined by small angle x-ray scattering. Using these results, in the framework of the effective medium theory, we have developed a simple model of micellar compressibility, allowing the calculation of physical parameters (aggregation number, volume, and compressibility) of the surfactant monomolecular film as well as that of the micellar waters. In particular, we show that the central aqueous core designated as "free" water, located at a distance from the oil-water interacting interface, is twice as compressible as "bulk" water. One notable feature of this work is the influence of the nature of the oil on the above parameters.     

Adiabatic cooling of antiprotons

Adiabatic cooling is shown to be a simple and effective method to cool many charged particles in a trap to very low temperatures. Up to 3×10(6) p are cooled to 3.5 K-10(3) times more cold p and a 3 times lower p temperature than previously reported. A second cooling method cools p plasmas via the synchrotron radiation of embedded e(-) (with many fewer e(-) than p in preparation for adiabatic cooling. No p are lost during either process-a significant advantage for rare particles.     

Adiabatic three-waveguide directional coupler

We propose a three-waveguide directional coupler based on adiabatic evolution of a single normal mode of the system and analyze its switching properties using coupled mode theory. In our scheme the propagation coefficients of the waveguides are constant and the coupling coefficients are variable. This device works in the case that the propagation coefficients of the two outer waveguides are identical and that the coupling coefficients are designed to act in a counterintuitive order.     

Unstructured Adiabatic Quantum Search

In the adiabatic quantum computation model, a computational procedure is described by the continuous time evolution of a time dependent Hamiltonian. We apply this method to the Grover's problem, i.e., searching a marked item in an unstructured database. Classically, the problem can be solved only in a running time of order O(N) (where N is the number of items in the database), whereas in the quantum model a speed up of order has been obtained. We show that in the adiabatic quantum model, by a suitable choice of the time-dependent Hamiltonian, it is possible to do the calculation in constant time, independent of the the number of items in the database. However, in this case the initial time-complexity of is replaced by the complexity of implementing the driving Hamiltonian.     

Adiabatic surface of self-trapping excitons

The problem of the self-trapping of the Frenkel exciton interacting with phonons is considered in the adiabatic approximation. The self-trapping is assumed to take place at a single site. The exciton scattering by phonons at this site and the nearest neighbouring sites is taken into account. Analytical expressions for the adiabatic surface of self-trapping excitons, in particular, for the barrier height separating almost free and self-trapped states, are found. The condition for the applicability of the model to the describing of the self-trapping barrier is determined. The adiabatic surface is shown to have several minima separated by a barrier, i.e. the coexistence of several types of self-trapped excitons is possible.Dedicated to Professor Miroslav Trlifaj on the occasion of his sixtieth birthday.     

Optimization of Adiabatic Selective Pulses

Adiabatic RF pulses play an important role in spin inversion due to their robust behavior in presence of inhomogeneous RF fields. These pulses are characterized by the trajectory swept by the tip of theB_effvector and the rate of motion upon it. In this paper, a method is described for optimizing adiabatic inversion pulses to achieve a frequency-selective magnetization inversion over a given bandwidth in a shorter time and to improve slice profile. An efficient adiabatic pulse is used as an initial condition. This pulse allows for flexibility in choosing its parameters; in particular, the transition sharpness may be traded off against the inverted bandwidth. The considerations for selecting the parameters of the pulse according to the requirements of the design are discussed. The optimization process then improves the slice profile by optimizing the rate of motion along the trajectory of the pulse while preserving the trajectory itself. The adiabatic behavior of the optimized pulses is fully preserved over a twofold range of variation in the RF amplitude which is sufficient for imaging applications in commercial high-field MRI machines. Design examples demonstrate the superiority of the optimized pulses over the conventional sech/tanh pulse.     

Adiabatic shaping of quadratic solitons

We show the principle of operation of a setup to adiabatically shape solitons in quadratic nonlinear media to different beam profiles and widths or different fractions of energy carried by the second-harmonic wave. The shaping mechanism is based on soliton generation and propagation in chirped, quasi-phase-matched samples.     

Fidelity in the center-of-mass tomography

The notion of the center-of-mass tomogram is introduced for describing the classical states of multipartite systems. The center-of-mass tomographic-probability representation of the quantum states is used to calculate the fidelity of multipartite quantum states in an explicit integral form.