Long‐range, collision‐induced hyperpolarizabilities of atoms or centrosymmetric linear molecules: Theory and numerical results for pairs containing H or He

1996 ◽  
Vol 105 (24) ◽  
pp. 10954-10968 ◽  
Author(s):  
Xiaoping Li ◽  
Katharine L. C. Hunt ◽  
Janusz Pipin ◽  
David M. Bishop
Keyword(s):  
Long Range ◽  
Numerical Results ◽  
Linear Molecules

Long-range induction coefficients for like centrosymmetric linear molecules and an application to H2–H2

1998 ◽  
Vol 291 (5-6) ◽  
pp. 529-535 ◽  
Author(s):  
Valerio Magnasco ◽  
Massimo Ottonelli ◽  
Giuseppe Figari ◽  
Marina Rui ◽  
Camilla Costa
Keyword(s):  
Long Range ◽  
Linear Molecules

scholarly journals THE PHOTON-LIKE FLYING QUBIT IN THE COUPLED CAVITY ARRAY

2012 ◽  
Vol 10 (02) ◽  
pp. 1250002
Author(s):  
MING-XIA HUO ◽  
YING LI ◽  
ZHI SONG ◽  
CHANG-PU SUN
Keyword(s):  
Dispersion Relation ◽  
Long Range ◽  
Quantum State ◽  
Numerical Results ◽  
Quantum State Transfer ◽  
Spin Network ◽  
State Transfer ◽  
Wide Range ◽  
Coupled Cavity ◽  
Cavity Array

We propose the simulation for an effective scheme to realize a spin network with tunable long-range couplings in the coupled cavity array with external multi-driving lasers. Via this scheme, the linear photon-like dispersion relation is achievable, which could be employed to perform a perfect quantum state transfer. Numerical results show that when applying two lasers in each cavity, the fidelity is higher than the highest fidelity of a classical transfer even for the transfer distance l increases up to 100 sites. In the simulation, as the number of lasers increases, the fidelity will be evidently enhanced for a wide range of l.

scholarly journals Knots, links, and long-range magic

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Jackson R. Fliss
Keyword(s):  
Long Range ◽  
Path Integration ◽  
Numerical Results ◽  
Simons Theory ◽  
Resource Theory ◽  
Link Complements ◽  
Chern Simons ◽  
Chern Simons Theory ◽  
Torus Links ◽  
Stabilizer States

Abstract We study the extent to which knot and link states (that is, states in 3d Chern-Simons theory prepared by path integration on knot and link complements) can or cannot be described by stabilizer states. States which are not classical mixtures of stabilizer states are known as “magic states” and play a key role in quantum resource theory. By implementing a particular magic monotone known as the “mana” we quantify the magic of knot and link states. In particular, for SU(2)k Chern-Simons theory we show that knot and link states are generically magical. For link states, we further investigate the mana associated to correlations between separate boundaries which characterizes the state’s long-range magic. Our numerical results suggest that the magic of a majority of link states is entirely long-range. We make these statements sharper for torus links.

scholarly journals Anisotropy of long range interactions between linear molecules: H2-H2 and H2-He

1979 ◽  
Vol 37 (1) ◽  
pp. 159-180 ◽  
Author(s):  
Fred Mulder ◽  
Ad van der Avoird ◽  
Paul E. S. Wormer
Keyword(s):  
Long Range ◽  
Long Range Interactions ◽  
Linear Molecules

SPINODAL NUCLEATION

1994 ◽  
Vol 08 (11n12) ◽  
pp. 1417-1527 ◽  
Author(s):  
L. MONETTE
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Mean Field ◽  
Compact Object ◽  
Percolation Model ◽  
Numerical Results ◽  
Nucleation Theory ◽  
Theoretical Formulation ◽  
Numerical Work ◽  
The Mean

The aim of this paper is to present the theoretical foundations of spinodal nucleation, by reviewing key theoretical and numerical work. The basic ideas of classical nucleation theory are first presented: the classical droplet model, and the Becker-Döring theory, as these concepts are important to the development of the field theoretical formulation of nucleation. The field theoretical framework for classical nucleation is exposed in some detail, followed by the presentation of a similar framework, extended to nucleation in the proximity of a spinodal (non-classical nucleation), in the presence of long-range Ising interactions. The non-classical nucleating droplet is found to be diffuse, hence to strongly depart from the classical prediction of a compact object with a well-defined surface. The fact that the non-classical nucleating droplet is identified with a ramified object prompts the development of an appropriate cluster description. The basic principles of percolation theory are outlined, and some lattice percolation models introduced. The Kastaleyn-Fortuin mapping, which establishes a connection between a particular percolation model and a limit of the Potts model, is briefly described. This mapping is crucial to the development of a second mapping (Coniglio-Klein) of the Ising spinodal point into a percolation model, where the long-range Ising interactions are translated into a long-range connectivity in the appropriate percolation model. The final result consists of the most powerful tool available to identify precisely the non-classical nucleating droplet in numerical simulations of nucleation in proximity of a spinodal. Numerical simulation results are presented, which support the field theoretical formulation of non-classical nucleation. As the numerical results seem to support the fact that the non-classical nucleating droplet is also a percolation cluster, its fractal structure is investigated by considering the mean-field regime of the percolation model, i.e. a percolation model with long-range connectivity. This leads to an apparent contradiction between the field theory and the mean-field percolation model predictions concerning the mass (or density) scaling of the nucleating droplet. This inconsistency is resolved by postulating that the mean-field percolation clusters cannot be non-classical nucleating droplets, and proposing that the non-classical nucleating droplet is in fact the result of a coalescence of many such clusters. Finally, the calculation of the static prefactor in the nucleation rate by assuming a Becker-Döring dynamics for the coalescence mechanism is outlined. The result is found to be consistent with the predictions of the field theory for the static prefactor. Numerical results are also presented in support of the hypothesized coalescence mechanism.

CALCULATION OF PROTON-DEUTERON SCATTERING WITH COULOMB FORCE EFFECTS

2009 ◽  
Vol 24 (11n13) ◽  
pp. 855-858 ◽  
Author(s):  
SOUICHI ISHIKAWA
Keyword(s):  
Experimental Data ◽  
Long Range ◽  
Coulomb Interaction ◽  
Cross Sections ◽  
Scattering Problem ◽  
Coulomb Force ◽  
Numerical Results ◽  
Breakup Threshold ◽  
Deuteron Scattering ◽  
Three Body

A modified version of the Faddeev three-body equation to accommodate the long-range Coulomb interaction is applied to the proton-deuteron scattering problem at energies above the three-body breakup threshold. Numerical results for elastic and breakup cross sections in proton-deuteron scattering with effects of three-nucleon forces are compared with experimental data.

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