Erratum: An irreducible tensor method of deriving the long‐range anisotropic interactions between molecules of arbitrary symmetry [J. Chem. Phys. 72, 3472 (1980)]

1980 ◽  
Vol 73 (4) ◽  
pp. 2017-2017 ◽  
Author(s):  
Richard P. Leavitt
Keyword(s):  
Long Range ◽  
Chem Phys ◽  
Irreducible Tensor ◽  
Tensor Method ◽  
Anisotropic Interactions

scholarly journals Non-Markovian Quantum Optics with Three-Dimensional State-Dependent Optical Lattices

Quantum ◽  
2018 ◽  
Vol 2 ◽  
pp. 97 ◽  
Author(s):  
A. González-Tudela ◽  
J. I. Cirac
Keyword(s):  
Quantum Optics ◽  
Spectral Density ◽  
Long Range ◽  
Photon Energy ◽  
Optical Lattices ◽  
Cold Atoms ◽  
Three Dimensional ◽  
Collective Effects ◽  
State Dependent ◽  
Anisotropic Interactions

Quantum emitters coupled to structured photonic reservoirs experience unconventional individual and collective dynamics emerging from the interplay between dimensionality and non-trivial photon energy dispersions. In this work, we systematically study several paradigmatic three dimensional structured baths with qualitative differences in their bath spectral density. We discover non-Markovian individual and collective effects absent in simplified descriptions, such as perfect subradiant states or long-range anisotropic interactions. Furthermore, we show how to implement these models using only cold atoms in state-dependent optical lattices and show how this unconventional dynamics can be observed with these systems.

Matrix elements of the proton–neutron symplectic model

2018 ◽  
Vol 27 (03) ◽  
pp. 1850021 ◽  
Author(s):  
H. G. Ganev
Keyword(s):  
Shell Model ◽  
Long Range ◽  
Coupling Scheme ◽  
Model Coupling ◽  
Matrix Elements ◽  
Irreducible Tensor ◽  
Physical Operator ◽  
Major Shell ◽  
The Matrix ◽  
Transition Operators

The tensor properties of the [Formula: see text] algebra generators are determined in respect to the reduction chain [Formula: see text], which defines a shell-model coupling scheme of the proton–neutron symplectic model (PNSM). They are further used to calculate the matrix elements of the basic [Formula: see text] operators of the PNSM in the space of fully symmetric representations in the [Formula: see text]-coupled basis using a generalized Wigner–Eckart theorem. The obtained results allow further the matrix elements of any physical operator of interest, such as the relevant transition operators or the collective potential, to be calculated. As an illustration, the matrix elements of the basic irreducible tensor terms which appear in the [Formula: see text] decomposition of the long-range full major-shell mixing proton–neutron quadrupole–quadrupole interaction are presented.

Fast tensor method for summation of long-range potentials on 3D lattices with defects

2015 ◽  
Vol 23 (2) ◽  
pp. 249-271 ◽  
Author(s):  
Venera Khoromskaia ◽  
Boris N. Khoromskij
Keyword(s):  
Long Range ◽  
Tensor Method
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