Exotic and excited-state meson spectroscopy and radiative transitions from lattice QCD

We discuss recent progress in extracting the excited meson spectrum and radiative transition form factors from lattice QCD.We mention results in the charmonium sector,including the first lattice QCD calculation of radiative transition rates involving excited charmonium states,highlighting results for high spin and exotic states.We present recent results on a highly excited isovector meson spectrum from dynamical anisotropic lattices.Using carefully constructed operators we show how the continuum spin of extracted states can be reliably identified and confidently extract excited states,states with exotic quantum numbers and states of high spin.This spectrum includes the first spin-four state extracted from lattice QCD.We conclude with some comments on future prospects.     

层状材料中一个简单晶格模型的比热计算

本文采用Born势和简单立方结构计算了层状材料的晶格比热。发现当层伏材料层厚较小时(约在十几层以内),界面态对晶格比热有明显影响。但随层厚增大,比热下降,且基本与界面态及层厚无关。文中还比较了准周期超晶格与周期超晶格两者的晶格比热。 关键词：     

On the possibility of electric transport mediated by long living intrinsic localized solectron modes

We consider a polaron Hamiltonian in which not only the lattice and the electron-lattice interactions, but also the electron hopping term is affected by anharmonicity. We find that the one-electron ground states of this system are localized in a wide range of the parameter space. Furthermore, low energy excited states, generated either by additional momenta in the lattice sites or by appropriate initial electron conditions, lead to states constituted by a localized electron density and an associated lattice distortion, which move together through the system, at subsonic or supersonic velocities. Thus we investigate here the localized states above the ground state which correspond to moving electrons. We show that besides the stationary localized electron states (proper polaron states) there exist moving localized solectron states which can be easily excited. The evolution of these localized states suggests their potential as new carriers for fast electric charge transport.     

层状材料中一个简单晶格模型的比热计算

本文采用Born 势和简单立方结构计算了层状材料的晶格比热. 发现当层伏材料层厚较小时(约在十几层以内) , 界面态对晶格比热有明显影响。但随层厚增大, 比热下降, 且基本与界面态及层厚无关. 文中还比较了准周期超晶格与周期超晶格两者的晶格比热。 关键词：     

Fractional quantum Hall states of atoms in optical lattices

We describe a method to create fractional quantum Hall states of atoms confined in optical lattices. We show that the dynamics of the atoms in the lattice is analogous to the motion of a charged particle in a magnetic field if an oscillating quadrupole potential is applied together with a periodic modulation of the tunneling between lattice sites. In a suitable parameter regime the ground state in the lattice is of the fractional quantum Hall type, and we show how these states can be reached by melting a Mott-insulator state in a superlattice potential. Finally, we discuss techniques to observe these strongly correlated states.     

Quantum insulating states of F=2 cold atoms in optical lattices

In this Letter we study various spin correlated insulating states of F=2 cold atoms in optical lattices. We find that the effective spin exchange interaction due to virtual hopping contains an octopole coupling between two neighboring lattice sites. Depending on scattering lengths and numbers of particles per site the ground states are either rotationally invariant dimer or trimer Mott insulators or insulating states with various spin orders. Three spin-ordered insulating phases are ferromagnetic, cyclic, and nematic Mott insulators. We estimate the phase boundaries for states with different numbers of atoms per lattice site.     

Asymptotic results for a persistent diffusion model of Taylor dispersion of particles

We study Taylor diffusion for the case when the diffusion transverse to the bulk motion is a persistent random walk on a one-dimensional lattice. This is mapped onto a Markovian walk where each lattice site has two internal states. For such a model we find the effective diffusion coefficient which depends on the rate of transition among internal states of the lattice. The Markovian limit is recovered in the limit of infinite rate of transitions among internal states; the initial conditions have no role in the leading-order time-dependent term of the effective dispersion, but a strong effect on the constant term. We derive a continuum limit of the problem presented and study the asymptotic behavior of such limit.     

Atomic Vibrations in the Thermodynamic Limit

We present, on a simple model of aone-dimensional crystal lattice, the consequences of theassumption that the phases in the action-anglerepresentation are random. We prove that this assumptionamounts to the introduction of a stochastic measurewhich can be interpreted as a Gaussian noise. Thepresence of noise gives rise to a new spectralrepresentation of states of the lattice. It is shownthat this new spectral representation of states can alsobe extended on an infinite lattice through a rigorouslydefined transition to the thermodynamic limit. Thetraditional spectral representation, as a superposition of independent modes, of such states as atomicdisplacements leads to meaningless expressions in thethermodynamic limit. One of the main results is thatunder the random phase assumption the interactions lead to the appearance of equilibrium states.We obtain an explicit spectral representation of suchstates. This specific model illustrates howprobabilistic behavior of an infinite system can bederived from classical laws of dynamics.     

Scanning Tunneling Electron Transport into a Kondo Lattice

We theoretically present the results for a scanning tunneling transport between a metallic tip and a Kondo lattice.We calculate the density of states(DOS)and the tunneling current and differential conductance(DC)under different conduction-fermion band hybridization and temperature in the Kondo lattice.It is found that the hybridization strength and temperature give asymmetric coherent peaks in the DOS separated by the Fermi energy.The corresponding current and DC intensity depend on the temperature and quantum interference effect among the c-electron and f-electron states in the Kondo lattice.     

Preparing and probing atomic number states with an atom interferometer

We describe the controlled loading and measurement of number-squeezed states and Poisson states of atoms in individual sites of a double well optical lattice. These states are input to an atom interferometer that is realized by symmetrically splitting individual lattice sites into double wells, allowing atoms in individual sites to evolve independently. The two paths then interfere, creating a matter-wave double-slit diffraction pattern. The time evolution of the double-slit diffraction pattern is used to measure the number statistics of the input state. The flexibility of our double well lattice provides a means to detect the presence of empty lattice sites, an important and so far unmeasured factor in determining the purity of a Mott state.     

Multipartite entanglement detection in bosons

We propose a simple quantum network to detect multipartite entangled states of bosons and show how to implement this network for neutral atoms stored in an optical lattice. We investigate the special properties of cluster states, multipartite entangled states, and superpositions of distinct macroscopic quantum states that can be identified by the network.     

Charge frustration and quantum criticality for strongly correlated fermions

We study a model of strongly correlated electrons on the square lattice which exhibits charge frustration and quantum critical behavior. The potential is tuned to make the interactions supersymmetric. We establish a rigorous mathematical result which relates quantum ground states to certain tiling configurations on the square lattice. For periodic boundary conditions this relation implies that the number of ground states grows exponentially with the linear dimensions of the system. We present substantial analytic and numerical evidence that for open boundary conditions the system has gapless edge modes.     

Mean entropy of states in classical statistical mechanics

The equilibrium states for an infinite system of classical mechanics may be represented by states over AbelianC* algebras. We consider here continuous and lattice systems and define a mean entropy for their states. The properties of this mean entropy are investigated: linearity, upper semi-continuity, integral representations. In the lattice case, it is found that our mean entropy coincides with theKolmogorov-Sinai invariant of ergodic theory.     

Dyonic Sectors and Intertwiner Connections in 2+1-Dimensional Lattice -Higgs Models

We construct dyonic states in 2+1-dimensional lattice -Higgs models, i.e. states which are both, electrically and magnetically charged. These states are parametrized by , where ɛ and μ are -valued electric and magnetic charge distributions, respectively, living on the spatial lattice . The associated Hilbert spaces carry charged representations of the observable algebra , the global transfer matrix t and a unitary implementation of the group of spatial lattice translations. We prove that for coinciding total charges these representations are dynamically equivalent and we construct a local intertwiner connection , where is a path in the space of charge distributions . The holonomy of this connection is given by -valued phases. This will be the starting point for a construction of scattering states with anyon statistics in a subsequent paper. Received: 13 December 1996 / Accepted: 19 May 1997     

Jaynes-Cummings dynamics with a matter wave oscillator

We propose to subject two Bose-Einstein condensates to a periodic potential, so that one condensate undergoes the Mott-insulator transition to a state with precisely one atom per lattice site. We show that photoassociation of heteronuclear molecules within each lattice site is described by the quantum optical Jaynes-Cummings Hamiltonian. In analogy with studies of this Hamiltonian with cavity fields and trapped ions, we are thus able to engineer quantum optical states of atomic matter wave fields and we are able to reconstruct these states by quantum state tomography.     

Some remarks on the ground state of infinite systems in statistical mechanics

We investigate the ground states of infinite quantum lattice systems. It is shown in particular that a positive energy operator is associated with these states.     

一维半导体高聚物中的激子态和发光性质及局部晶格畸变所产生的影响——Lancos严格对角化方法

应用Lanczos严格对角化方法在具有电子-电子强关联效应的情况下,研究一维高聚物半导体中激子态的能量和波函数的物性,并以此为基础计算了在有局部晶格畸变时激子态的变化及其对发光性质的影响.并发现在一定的互作用参数下,其发光强度与畸变的强度成正比关系. 关键词：     

Lattice Green's Function in the General Glasser Case

We have investigated the lattice Green's function for the general Glasser cubic lattice. Expressions for its density of states, phase shift, and scattering cross section in terms of complete elliptic integrals of the first kind are derived.