We make a quantitative investigation on the tunneling and multi-photon channels in the transition regime from Keldysh parameter γ1 by numerically solving the time-dependent Schr?dinger equation(TDSE).A method is prop...
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We make a quantitative investigation on the tunneling and multi-photon channels in the transition regime from Keldysh parameter γ<1 to γ>1 by numerically solving the time-dependent Schr?dinger equation(TDSE).A method is proposed to separate the contributions of those ionization rate on the Keldysh parameterg,we identify a field independent transition point at γ≈2,which is different from the well-accepted consensus of γ≈1,from adiabatic to nonadiabatic regime.
We present total cross sections in the energy range 7-1000 keV amu(-1) for electron capture by alpha-particles in collision with atomic hydrogen in the ground state. We describe this process theoretically by performin...
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We present total cross sections in the energy range 7-1000 keV amu(-1) for electron capture by alpha-particles in collision with atomic hydrogen in the ground state. We describe this process theoretically by performing a close-coupling calculation using the symmetrized variational (SV) continuum distorted-wave (CDW) collision ansatz. SVCDW views the collision in a unique way by including both incoming and outgoing CDWs in the wavefunctions at all finite times, while simultaneously guaranteeing the correct coulombic asymptotes. We compare the SVCDW results with the available experimental data, with a dose-coupling calculation in which outgoing CDWs only are used to describe the collision, and with CDW perturbation theory. At high energies the three theoretical curves converge, while at lower energies the SVCDW results are shown to reproduce experiments more accurately. We also compare the SVCDW results with other coupled-channel calculations which use pseudo-states to describe the interaction of the target and the projectile with the continuum.
The elastic-scattering angular distributions and total reaction cross sections of ^(9,10,11,13,14)C projectiles were predicted using the obtained ^(12)C and ^(9)Be global optical model potentials,*** predictions were ...
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The elastic-scattering angular distributions and total reaction cross sections of ^(9,10,11,13,14)C projectiles were predicted using the obtained ^(12)C and ^(9)Be global optical model potentials,*** predictions were analyzed in detail by comparison with the available experimental *** results indicate that the ^(12)C and ^(9)Be global optical model potentials provide a satisfactory description of the elastic scattering data for the reactions induced by the ^(9,10,11,13)*** the neutron-rich carbon isotope ^(14)C,the elastic scattering can be well described by changing the real part radius parameter of the ^(12)C global optical model *** physical explanations for the observed differences are further discussed.
By performing large-scale density-matrix renormalization group simulations, we investigate a one-dimensional correlated bosonic lattice model with a synthetic spin-orbit coupling realized in recent experiments. In the...
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By performing large-scale density-matrix renormalization group simulations, we investigate a one-dimensional correlated bosonic lattice model with a synthetic spin-orbit coupling realized in recent experiments. In the insulating regime, this model exhibits a symmetry-protected topological phase. This symmetry-protected topological phase is stabilized by time-reversal symmetry and it is identified as a Haldane phase. We confirm our conclusions further by analyzing the entanglement spectrum. In addition, we find four conventional phases: a Mott insulating phase with no long range order, a ferromagnetic superfluid phase, a ferromagnetic insulating phase, and a density-wave phase.
Literature studies of the lattice Boltzmann method (LBM) demonstrate hydrodynamics beyond the continuum limit. This includes exact analytical solutions to the LBM, for the bulk velocity and shear stress of Couette flo...
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Literature studies of the lattice Boltzmann method (LBM) demonstrate hydrodynamics beyond the continuum limit. This includes exact analytical solutions to the LBM, for the bulk velocity and shear stress of Couette flow under diffuse reflection at the walls through the solution of equivalent moment equations. We prove that the bulk velocity and shear stress of Couette flow with Maxwell-type boundary conditions at the walls, as specified by two-dimensional isothermal lattice Boltzmann models, are inherently linear in Mach number. Our finding enables a systematic variational approach to be formulated that exhibits superior computational efficiency than the previously reported moment method. Specifically, the number of partial differential equations (PDEs) in the variational method grows linearly with quadrature order while the number of moment method PDEs grows quadratically. The variational method directly yields a system of linear PDEs that provide exact analytical solutions to the LBM bulk velocity field and shear stress for Couette flow with Maxwell-type boundary conditions. It is anticipated that this variational approach will find utility in calculating analytical solutions for novel lattice Boltzmann quadrature schemes and other flows.
A general technique for the generation of canonical channel models and demonstrate the application of the technique to time-frequency and time-scale integral kernel operators is developed. As an example, the derivatio...
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We present the first results of an ab initio coupled-channel calculation of electron capture to the n=2 states of hydrogen in proton-hydrogen collisions using symmetrized variational (SV) continuum distorted-wave (CDW...
We present the first results of an ab initio coupled-channel calculation of electron capture to the n=2 states of hydrogen in proton-hydrogen collisions using symmetrized variational (SV) continuum distorted-wave (CDW) theory. In SVCDW theory the collision ansatz includes both outgoing- and incoming-wave components in the wave functions, and represents in a compact and elegant form a very complete basis set for describing the electron capture process. We calculate total cross sections for nonresonant capture to the 2s and 2p states of the projectile, in the energy range 7–150 keV. The results are a substantial improvement over a previous variational CDW theory, and in particular are found to be in good accord with the available experimental data.
In the present paper we investigate the influence of measurements on the quantum dynamics of degenerate Bose atoms gases in a symmetric double well. We show that continuous measurements enhance asymmetry on the densit...
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In the present paper we investigate the influence of measurements on the quantum dynamics of degenerate Bose atoms gases in a symmetric double well. We show that continuous measurements enhance asymmetry on the density distribution of the atoms and broaden the parameter regime for self-trapping. We term this phenomenon as nonlinear quantum Zeno effect in analog to the celebrated Zeno effect in a linear quantum system. Under discontinuous measurements, the self-trapping due to the atomic interaction in the degenerate bosons is shown to be destroyed completely. Underlying physics is revealed and possible experimental realization is discussed.
The second-order Sigma-Delta (ΣΔ) scheme with linear quantization rule is analyzed for quantizing finite unit-norm tight frame expansions for Rd. Approximation error estimates are derived, and it is shown that for c...
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