The geometry of violation of Bell''''s inequality

The purpose of this paper is to deduce an analytical expression for the violation of Bell's inequality by quantum theory and plane trigonometry, and expound the violation and maximal violation of the first, second type Bell's inequality in detail. Further, we find out the sufficient conditions for the region in which Bell's inequalities are violated.     

D0-D-0 mixing and CP violation at BES-Ⅲ

Recently, both BaBar and Belle experiments found evidences of neutral D mixing. In this paper, we discuss the sensitivities of the measurements of D mixing parameters at BES-Ⅲ. With CP tag technique at ψ(3770) peak, the extraction of the strong phase difference in D0→Kπ decay at BES-Ⅲ are discussed. We also make an estimate on the measurements of the mixing rate RM by using the coherent data at ψ(3770) peak. The CP violation in D system is predicted with an unobserved level in the Standard Model. Any significant CP violation in the D system indicates the existence of new physics. The sensitivity of the measurements of CP violation in the D system is estimated in the coherent D decays. Finally, the search for the rare D decays are discussed, in which some of the forbidden decays are smoking gun of new physics.     

Quantum Properties of Two-Mode Squeezed Even and Odd Coherent States

Two new types of quantum states are constructed by applying the operator s(ξ) = exp(ξ*ab - ξa b ) on the two-mode even and odd coherent states.The mathematical and quantum statistical properties of such states are investigated.Various nonclassical features of these states,such as squeezing properties,the inter-mode photon bunching,and the violation of Cauchy-Schwarz inequality,are discussed.The Wigner function in these states are studied in detail.     

Nonclassical Photon Pairs Generated from a Room-temperature Atomic Ensemble

We report experimental generation of non-classically correlated photon pairs from collective emission in a room temperature atomic vapor cell.The nonclassical feature of the emission is demonstrated by observing a violation of the Cauchy-Schwarz inequality.Each pair of correlated photons are separated by a controllable time delay up to 2 microseconds.This experiment demonstrates an important step towards the realization of the Duan-Lukin-Cirac-Zoller scheme for scalable long-distance quantum communication.     

Nonrelativistic quantum effects of the Lorentz symmetry violation on the Morse potential

We search for Lorentz symmetry violation effects at low-energy regime by exploring the Dirac equation in(1 + 1)-dimensions and the possibility of dealing with quantum systems with spherical symmetry. We bring a discussion about the influence of the Lorentz symmetry violation effects on the spectrum of molecular vibrations caused by the coupling between a fixed vector field and the derivative of the fermionic field. Further, we discuss the influence of this Lorentz symmetry violation background o...     

D~0 -~0 mixing and CP violation at BES-Ⅲ

Recently,both BaBar and Belle experiments found evidences of neutral D mixing.In this paper, we discuss the sensitivities of the measurements of D mixing parameters at BES-Ⅲ.With CP tag technique atψ(3770)peak,the extraction of the strong phase difference in D~0→Kπdecay at BES-Ⅲare discussed.We also make an estimate on the measurements of the mixing rate R_M by using the coherent data atψ(3770)peak. The CP violation in D system is predicted with an unobserved level in the Standard Model.Any significant CP violation in the D system indicates the existence of new physics.The sensitivity of the measurements of CP violation in the D system is estimated in the coherent D decays.Finally,the search for the rare D decays are discussed,in which some of the forbidden decays are smoking gun of new physics.     

New theory of Lorentz violation from a general principle

We report that a general principle of physical independence of mathematical background manifolds brings a replacement of common derivative operators by co-derivative ones. Then we obtain a new Lagrangian for the ordinary minimal standard model with supplementary terms containing the Lorentz invariance violation information measured by a new matrix, denoted as the Lorentz invariance violation matrix. We thus provide a new fundamental theory to study Lorentz invariance violation effects consistently and systematically.     

Entanglement Dynamics and Bell Violations of Two Atoms in Tavis-Cummings Model with Phase Decoherence

Considering the dipole-dipole coupling intensity between two atoms and the field in the Fock state, the entanglement dynamics between two atoms that are initially entangled in the system of two two-level atoms coupled to a single mode cavity in the presence of phase decoherence has been investigated. The two-atom entanglement appears with periodicity without considering phase decoherence, however, the phase decoherence causes the decay of entanglement between two atoms, with the increasing of the phase decoherence coefficient, the entanglement will quickly become a constant value, which is affected by the two-atom initial state. Meanwhile the two-atom quantum state will forever stay in the maximal entangled state when the initial state is proper even in the presence of phase decoherence. On the other hand, the Bell violation and the entanglement do not satisfy the monotonous relation, a large Bell violation implies the presence of a large amount of entanglement under certain conditions, while a large Bell violation corresponds to a little amount of entanglement in certain situations. However, the violation of Bell-CHSH inequality can reach the maximal value if two atoms are in the maximal entangled state, or vice versa.     

Numerical Investigation for the Properties of Nonintegrable Quantum SYstems Eigenspace in the Line of Quantum—Classical Correspondence

The properties of the eigenspace of nonintegrable quantum systems are explored in detail in the light of the viewpoint of quantum-classical completely correspondence proposed recently by Xu et al.The changes of the topological structure in the state space of autonomous quantum system due to the nonlinear resonance are displayed numerically with the uncertainty measure of a special initial state ρα（λ） and the transformation matrix U(λ δλ-λ-δλ）,The statistical behavior of the subspace occupied by the state in eigenspace of quantum nonintegrable system is discussed carefully with the help of a special renormalization method.The results show that the randomness of effective Hamilonian matrix,the transition matrix and the nearest level spacings in this region can be described by random matrix theory.And the extent of agreement of our calculation with the prediction of GOE is in correspondence to the extent of the classical torus violation.     

Restoration of pseudo-spin symmetry in N = 32 and N = 34 isotones described by relativistic Hartree-Fock theory

The restoration of pseudo-spin symmetry(PSS) along the N = 32 and N = 34 isotonic chains and the physics behind are studied by applying the relativistic Hartree-Fock theory with the effective Lagrangian PKA1. Taking the proton pseudo-spin partners(π2s_(1/2), π1d_(3/2)) as candidates, the systematic restoration of PSS along both isotonic chains is found from sulphur(S) to nickel(Ni), while an obvious PSS violation from silicon(Si) to sulphur is discovered near the drip lines. The effects of the tensor force components are investigated, introduced naturally by the Fock terms, which can only partially interpret the systematics from calcium to nickel, whereas they fail for the overall trends. Further analysis following the Schr?dinger-like equation of the lower component of Dirac spinor shows that contributions from the Hartree terms dominate the overall systematics of the PSS restoration. Such effects can be self-consistently interpreted by the evolution of the proton central density profiles along both isotonic chains. In particular, the PSS violation is found to tightly relate to the dramatic changes from the bubble-like density profiles in silicon to the central-bumped ones in sulphur.     

Spin-Spin Interactions in Gauge Theory of Gravity, Violation of Weak Equivalence Principle and New Classical Test of General Relativity

For a long time, it has been generally believed that spin-spin interactions can only exist in a theory where Lorentz symmetry is gauged, and a theory with spin-spin interactions is not perturbatively renormalizable. But this is not true. By studying the motion of a spinning particle in gravitational field, it is found that there exist spin-spin interactions in gauge theory of gravity. Its mechanism is that a spinning particle will generate gravitomagnetic field in space-time, and this gravitomagnetic field will interact with the spin of another particle, which will cause spin-spin interactions. So, spin-spin interactions are transmitted by gravitational field. The form of spin-spin interactions in post Newtonian approximations is deduced. This result can also be deduced from the Papapetrou equation. This kind of interaction will not affect the renormalizability of the theory. The spin-spin interactions will violate the weak equivalence principle, and the violation effects are detectable. An experiment is proposed to detect the effects of the violation of the weak equivalence principle.     

New wormhole model with quasi-periodic oscillations exhibiting conformal motion in f(T,T) gravity

This analysis explores the new wormhole(WH) solution in the background of teleparallel gravity with minimal matter coupling. To complete this study, we consider the conformal symmetry with non-zero Killing vectors. The exact shape function is computed by considering the linear equation of state with the phantom regime. The energy conditions are investigated for the calculated shape function with the equation of state parameter. The presence of exotic matter is confirmed due to the violation of t...     

Measurements of D0-D-0 mixing and searches for CP violation: HFAG combination of all data

We present world average values for D0- mixing parameters x and y, CP violation parameters |q/P| and Arg(q/p), and strong phase differences δ and δKππ. These values are calculated by the Heavy Flavor Averaging Group (HFAG) by performing a global fit to relevant experimental measurements. The results for x and y differ significantly from zero and are inconsistent with no mixing at the level of 6.7σ. The results for |q/P| and Arg(q/p) are consistent with no CP violation. The strong phase difference δ is less than 45° at 95% C.L.     

Non-Classical Correlated Photon Pairs Generation via Cascade Transition of 5S1/2-5P3/2-5D5/2 in a Hot SSRb Atomic Vapor

We experimentally prepare the non-classical correlated photon pairs at the wavelengths of 780 and 776 mn via the cascade transition of 5S1/2 5P3/2-5D5/2 in a hot SSRb atomic ensemble. By measuring the function of cross-correlation and auto-correlation of photons, a violation of Cauehy Schwarz inequality by a factor of 283 is obtained, which clearly indicates a strong non-classicM correlation between the generated photons. We also find that noise photons scattered from pump lasers have a strong effect on the Cauchy-Schwarz inequality factor by changing the intensity of the pump laser, the experimental results are consistent with the theoretical predictions.     

Experimental Non-Local Generation of Entanglement from Independent Sources

We experimentally demonstrate a non-local generation of entanglement from two independent photonic sources in an ancilla-free process. Two bosons （photons） are entangled in polarization space by steering into a novel interferometer setup, in which they have never met each other. The entangled photons are delivered to polarization analyzers in different sites, respectively, and a non-local interaction is observed. Entanglement is further verified by the way of the measured violation of a CHSH type Bell＇s inequality with S-values of 2.54 and 27 standard deviations. Our results will shine a new light onto the understanding of how quantum mechanics works, have possible philosophic consequences on the one hand and provide an essential element for quantum information processing on the other hand. Potential applications of our results are briefly discussed.     

Measurements of D~0-~0 mixing and searches for CP violation:HFAG combination of all data

We present world average values for D~0-~0 mixing parameters x and y,CP violation parameters |q/P|and Arg(q/p),and strong phase differencesδandδ_(Kππ)These values are calculated by the Heavy Flavor Averaging Group(HFAG)by performing a global fit to relevant experimental measurements.The results for x and y differ significantly from zero and are inconsistent with no mixing at the level of 6.7a.The results for |q/P|and Arg(q/p)are consistent with no CP violation.The strong phase differenceδis less than 45°at 95%C.L.     

Neutrino Phenomenology of a High Scale Supersymmetry Model

CP violation in the lepton sector, and other aspects of neutrino physics, are studied within a high scale supersymmetry model. In addition to the sneutrino vacuum expectation values(VEVs), the heavy vector-like triplet also contributes to neutrino masses. Phases of the VEVs of relevant fields, complex couplings, and Zino mass are considered.The approximate degeneracy of neutrino masses m_(ν1) and m_(ν2) can be naturally understood. The neutrino masses are then normal ordered, ～ 0.020 eV, 0.022 eV, and 0.054 eV. Large CP violation in neutrino oscillations is favored. The effective Majorana mass of the electron neutrino is about 0.02 eV.     

Experimental Prospects of the B_c Studies of the LHCb Experiment

The experimental prospects of the Bc studies of the LHCb experiment are discussed. Production rates of Bc mesons at different center-of-mass energies are estimated with the dedicated generator BCVEGPY. Theoretical estimates and experimental measurements of the Bc± inclusive production cross section at /s =1.96 TeV are compared. The possibilities of studying Bc production, Bc spectroscopy, Bc decays and CP violation in Bc decays in the LHCb experiment are evaluated.     

■Study of the Standard Model and Majorana neutrino contributions to

Lepton number violation processes can be induced by the Majorana neutrino exchange, which provide evidence for the Majorana nature of neutrinos. In addition to the natural explanation of the small neutrino masses,Type-I seesaw mechanism predicts the existence of Majorana neutrinos. The aim of this work is to study the B meson rare decays B~+→K~((*))+μ~+μ~-in the Standard Model and its extensions, and then to investigate the same-sign decay process B~+→K~((*)-)μ~+μ~+. The corresponding dilepton invariant mass distributions are calculated. It is found that the dilepton angular distributions could shed light on the properties of new interactions induced by Majorana neutrinos.