scholarly journals Direct Lattice Shaking of Bose Condensates: Finite Momentum Superfluids

2017 ◽  
Vol 118 (22) ◽  
Author(s):  
Brandon M. Anderson ◽  
Logan W. Clark ◽  
Jennifer Crawford ◽  
Andreas Glatz ◽  
Igor S. Aranson ◽  
...  
Keyword(s):  
Bose Condensates ◽  
Direct Lattice

Some simple theorems concerning crystal lattice sums of electric potential, electric field, and electric field gradient in crystals

1967 ◽  
Vol 20 (12) ◽  
pp. 2551 ◽  
Author(s):  
CK Coogan
Keyword(s):  
Electric Field ◽  
Field Gradient ◽  
Electric Potential ◽  
Higher Symmetry ◽  
Lattice Sums ◽  
Symmetry Properties ◽  
Lattice Sum ◽  
Direct Lattice ◽  
Electric Potential Field ◽  
Conver Gence

The conditions under which direct lattice sums of electric potential, field, and field gradient converge are discussed. The analogous conditions under which differences in these lattice sums, for two points in the crystal, converge are also outlined. These conditions are applied to direct lattice sum calculations in crystals in which the ideal lattice is distorted close to a defect of some kind. The conver- gence conditions are then applied to the case of determining the direct lattice sums in crystals in which higher symmetry properties can be invoked, which leads to a knowledge by inspection of the lattice sum at one point in the unit cell.

scholarly journals Classical quasiparticle dynamics in trapped Bose condensates

1997 ◽  
Vol 56 (6) ◽  
pp. 4879-4889 ◽  
Author(s):  
Martin Fliesser ◽  
András Csordás ◽  
Robert Graham ◽  
Péter Szépfalusy
Keyword(s):  
Bose Condensates ◽  
Quasiparticle Dynamics

scholarly journals Low Energy Excitation Spectra of Trapped Bose Condensates

1998 ◽  
Vol 93 (1) ◽  
pp. 211-235 ◽  
Author(s):  
L. You ◽  
W. Hoston ◽  
M. Lewenstein ◽  
M. Marinescu
Keyword(s):  
Low Energy ◽  
Excitation Spectra ◽  
Energy Excitation ◽  
Bose Condensates

Bogoliubov theory of Bose-condensates of spinor exciton-polaritons

2005 ◽  
Vol 202 (14) ◽  
pp. 2614-2620 ◽  
Author(s):  
I. A. Shelykh ◽  
G. Malpuech ◽  
A. V. Kavokin
Keyword(s):  
Bogoliubov Theory ◽  
Exciton Polaritons ◽  
Bose Condensates

Electrostatic lattice energy in ionic crystals: optimization of the convergence of Ewald series

1978 ◽  
Vol 34 (6) ◽  
pp. 974-979 ◽  
Author(s):  
M. Catti
Keyword(s):  
Lattice Energy ◽  
Rates Of Convergence ◽  
Unit Cell ◽  
Group Symmetry ◽  
Cube Root ◽  
Cell Dimensions ◽  
Madelung Energy ◽  
Direct Lattice ◽  
Unit Cell Dimensions ◽  
Theoretical Results

Ewald's method is reconsidered to express the dependence of Madelung energy on the ionic charges explicitly, also taking into account the space-group symmetry of the structure. Upper bounds for the residues of the two partial series have been calculated by integral approximation; that relative to the direct-lattice series is shown to depend on the cube root of the unit-cell volume. The optimum value of the parameter A, which equalizes the rates of convergence of the two sums and minimizes the total number of terms, has been determined numerically for a given termination error and for a range of unit-cell dimensions. Theoretical results are tested by calculations on some specific crystal structures.

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