Leggett-Garg inequality with a kicked quantum pump

A kicked quantum nondemolition measurement is introduced, where a qubit is weakly measured by pumping current. Measurement statistics are derived for weak measurements combined with single-qubit unitary operations. These results are applied to violate a generalization of the Leggett-Garg inequality. The violation is related to the failure of the noninvasive detector assumption, and may be interpreted as either intrinsic detector backaction, or the qubit entangling the microscopic detector excitations. The results are discussed in terms of a quantum point contact kicked by a pulse generator, measuring a double quantum dot.     

Weak values and the Leggett-Garg inequality in solid-state qubits

An implementation of weak values is investigated in solid-state qubits. We demonstrate that a weak value can be nonclassical if and only if a Leggett-Garg inequality can also be violated. Generalized weak values are described in which post-selection occurs on a range of weak measurement results. Imposing classical weak values permits the derivation of Leggett-Garg inequalities for bounded operators. Our analysis is presented in terms of kicked quantum nondemolition measurements on a quantum double-dot charge qubit.     

Investigation of the Leggett-Garg inequality for precessing nuclear spins

We report experimental implementation of a protocol for testing the Leggett-Garg inequality (LGI) for nuclear spins precessing in an external magnetic field. The implementation involves certain controlled operations, performed in parallel on pairs of spin-1/2 nuclei (target and probe) from molecules of a nuclear magnetic resonance ensemble, which enable evaluation of temporal correlations from an LG string. Our experiment demonstrates violation of the LGI for time intervals between successive measurements, over which the effects of relaxation on the quantum state of target spin are negligible. Further, it is observed that the temporal correlations decay, and the same target spin appears to display macrorealistic behavior consistent with LGI.     

Experimental violation of two-party Leggett-Garg inequalities with semiweak measurements

We generalize the derivation of Leggett-Garg inequalities to systematically treat a larger class of experimental situations by allowing multiparticle correlations, invasive detection, and ambiguous detector results. Furthermore, we show how many such inequalities may be tested simultaneously with a single setup. As a proof of principle, we violate several such two-particle inequalities with data obtained from a polarization-entangled biphoton state and a semiweak polarization measurement based on Fresnel reflection. We also point out a nontrivial connection between specific two-party Leggett-Garg inequality violations and convex sums of strange weak values.     

Leggett-Garg Inequality and Quantumness Under the Influence of Random Telegraph Noise

International Journal of Theoretical Physics - The violation of the Leggett-Garg inequality and the quantum witness of a two-level system are investigated under the influence of stochastic...     

The Contextuality Loophole is Fatal for the Derivation of Bell Inequalities: Reply to a Comment by I. Schmelzer

Ilya Schmelzer wrote recently: Nieuwenhuizen argued that there exists some “contextuality loophole” in Bell’s theorem. This claim in unjustified. It is made clear that this arose from attaching a meaning to the title and the content of the paper different from the one intended by Nieuwenhuizen. “Contextual loophole” means only that if the supplementary parameters describing measuring instruments are correctly introduced, Bell and Bell-type inequalities may not be proven. It is also stressed that a hidden variable model suffers from a “contextuality loophole” if it tries to describe different sets of incompatible experiments using a unique probability space and a unique joint probability distribution.     

Oscillation in Evolution of Cooperation for Addressing Climate Change

Climate protection is a problem of sustaining a public resource. All countries of the world should take action to deal with climate change. However, such an action is actually a game process where each country chooses to cooperate or defect under constrained condition. Here we study the group behavior of countries in dealing with climate change. In our study, the countries of the world are considered as players who are distributed on an assumed spatial network. A new evolution rule is proposed to model the game processamong the players. Our extensive experiments demonstrate that under constrained condition, the local psychology of players possibly results in the formation of local group. Some local and global oscillations can be found where part or all of the players change their choices periodically.     

Addressing atoms in optical lattices with Bessel beams

A method of synthesizing localized optical fields with zeros on a periodic lattice is analyzed. The applicability to addressing atoms trapped in optical lattices with low cross talk is discussed.     

Test of the Stokes-Einstein relation in a two-dimensional Yukawa liquid

The Stokes-Einstein relation, relating the diffusion and viscosity coefficients D and eta, is tested in two dimensions. An equilibrium molecular-dynamics simulation was used with a Yukawa pair potential. Regimes are identified where motion is diffusive and D is meaningful. The Stokes-Einstein relation, Deta proportional k(B)T, was found to be violated near the disordering transition; under these conditions collective particle motion exhibits dynamical heterogeneity. At slightly higher temperatures, however, the Stokes-Einstein relation is valid. These results may be testable in strongly coupled dusty plasma experiments.     

Test of the resonating group method in a three-particle problem

Elastic scattering of a boson from a bound pair of bosons is used as a numerical example to test some qualities of the resonating group method. It is shown explicitly that the method does not converge when approximations are used for the asymptotic wave function. Reasonable results can be obtained despite the fact of non-convergence when the choice of distortion functions is restricted in a prescribed way. The same choice of distortion functions leads to very accurate results in resonating group calculations with exact channel functions.     

Screening of a Test Charge in Plasma

Nonlinear screening of a test charge in plasma by electrons trapped or untrapped is studied. The obtained results are in rigorous estimations mathematically in comparison with the corresponding Debye screening forms. Meanwhile their validity is physically discussed and some confusions in literature are clarified.     

Test of the non-closed shell many-electron theory in a solvable model

The non-closed shell many-electron theory of Sinano?lu is applied to the two-particle problem in a solvable model called the pseudoatom. The results for overlaps and electric dipolar transitions probabilities are discussed for the approximate and exact solutions.     

高分辨率单信道输出的光纤光栅传感系统时域地址查询技术

脉冲宽带光源发出的光波进入 4个光栅组成的光栅串时 ,根据传感元间光纤延时程度的差别进行时域地址查询 ,借助非平衡迈克耳孙 (Michelson)扫描干涉仪对传感信息进行解调 ,系统的应变传感分辨率为 6nε ,而灵敏度的实验值为 1 6 3° με。     

Test of a separable approximation to a local soft-core potential in the three-body system

Three-nucleon observables below the break-up threshold are calculated employing the pole approximation to the soft-core Malfliet-Tjon potentials. The results are compared in detail to those obtained with the local potentials and to those calculated with the usual Yamaguchi interactions.     

Test of the Fluctuation Relation in Lagrangian Turbulence on a Free Surface

The statistics of velocity divergence are studied for an assembly of particles that float on a closed turbulent fluid. Under an appropriate definition of entropy, the two-dimensional Lagrangian velocity divergence of a particle trajectory represents the local entropy rate , a random variable in time. The statistics of this rate, measured in the Lagrangian frame, are collected over a wide range of values. This permits a severe test of the fluctuation relation (FR) over a range that exceeds prior experiments, out to a regime beyond which the FR no longer holds. Notably, the probability density functions (PDF) of the dimensionless divergence σ _τ are strongly non-Gaussian. This work was supported by the National Science Foundation under grant number DMR-0201805.     

Experimental Test of a Thermodynamic Paradox

In 2000, a simple, foundational thermodynamic paradox was proposed: a sealed blackbody cavity contains a diatomic gas and a radiometer whose apposing vane surfaces dissociate and recombine the gas to different degrees (A $_{2} \rightleftharpoons $ 2A). As a result of differing desorption rates for A and A $_{2}$ , there arise between the vane faces permanent pressure and temperature differences, either of which can be harnessed to perform work, in apparent conflict with the second law of thermodynamics. Here we report on the first experimental realization of this paradox, involving the dissociation of low-pressure hydrogen gas on high-temperature refractory metals (tungsten and rhenium) under blackbody cavity conditions. The results, corroborated by other laboratory studies and supported by theory, confirm the paradoxical temperature difference and point to physics beyond the traditional understanding of the second law.