scholarly journals Generalized positivePrepresentation with third-order noise in intracavity coherent photoassociation of Bose-Einstein condensates

2001 ◽  
Vol 64 (6) ◽  
Author(s):  
M. K. Olsen ◽  
L. I. Plimak ◽  
M. J. Collett
Keyword(s):  
Third Order ◽  
Bose Einstein

Population transfer in a nonlinear three-level Λ-system by Stark-shift-chirped rapid adiabatic passage

2021 ◽  
Author(s):  
M. Saadati-Niari ◽  
N. Shirkhanghah
Keyword(s):  
Type System ◽  
Stark Shift ◽  
Population Transfer ◽  
Adiabatic Passage ◽  
Laser Technique ◽  
Hyperbolic Tangent ◽  
Third Order ◽  
Experimental Parameters ◽  
Nonlinear Quantum ◽  
Bose Einstein

We propose the use of Stark chirped rapid-adiabatic-passage (SCRAP) method to induce a complete population transfer in a nonlinear three-level Λ-type system (nl-SCRAP). We also use the nl-SCRAP method for creating stable diatomic ground molecular Bose-Einstein condensates (BECs) from atomic BECs. In this three-laser technique the pump and Stokes pulses are slightly detuned from transition frequencies, and a third strong hyperbolic-tangent laser pulse induces dynamic Stark shifts of the relevant transitions and compensates third order nonlinearities. If the timing of the three pulses is appropriately chosen, the nonlinear quantum system is prepared to almost complete population inversion between the two lower states in the Λ-like scheme. The paper shows that the efficiency of the nl-SCRAP is higher than the nonlinear stimulated Raman adiabatic passage (nl-STIRAP) technique, and this method can be used in one-photon as well as multi-photon transitions. The transfer process is robust concerning fluctuations of experimental parameters, such as peak Rabi frequencies, the time delay between pulses, and static detunings.

scholarly journals BRIGHT-LIKE SOLITON SOLUTION IN QUASI-ONE-DIMENSIONAL BEC IN THIRD ORDER BY INTERACTION RADIUS

2012 ◽  
Vol 26 (23) ◽  
pp. 1250152 ◽  
Author(s):  
P. A. ANDREEV ◽  
L. S. KUZ'MENKOV
Keyword(s):  
Soliton Solution ◽  
Interatomic Potential ◽  
Scattering Length ◽  
Einstein Condensate ◽  
Third Order ◽  
Interaction Radius ◽  
Atom Concentration ◽  
Bose Einstein Condensate ◽  
Potential Structure ◽  
Bose Einstein

Nonlinear Schrödinger equations and corresponding quantum hydrodynamic (QHD) equations are widely used in studying of ultracold boson–fermion mixtures and superconductors. In this article, we show that more exact account of interaction in Bose–Einstein condensate (BEC), in comparison with the Gross–Pitaevskii (GP) approximation, leads to the existence of a new type of solitons. We use a set of QHD equations in the third order by the interaction radius (TOIR), which corresponds to the GP equation in the first order by the interaction radius. We analytically obtain a soliton solution which is an area of increased atom concentration. The conditions for existence of the soliton are studied. It is shown what solution exists if the interaction between the particles is repulsive. Particle concentration has been achieved experimentally for the BEC is of order of 1012–1014 cm-3. In this case the solution exists if the scattering length is of the order of 1 μm, which can be reached using the Feshbach resonance. It is one of the limit case of existence of the solution. The corresponding scattering length decrease with the increasing of concentration of particles. We have shown that account of interaction up to TOIR approximation leads to new effects. The investigation of effects in the TOIR approximation gives a more detail information on interaction potentials between the atoms and can be used for a more detail investigation of the interatomic potential structure.

scholarly journals Third order Bose–Einstein correlations by means of Coulomb wave function revisited

2006 ◽  
Vol 637 (1-2) ◽  
pp. 64-68
Author(s):  
Minoru Biyajima ◽  
Takuya Mizoguchi ◽  
Naomichi Suzuki
Keyword(s):  
Wave Function ◽  
Coulomb Wave Function ◽  
Third Order ◽  
Bose Einstein

Direct Measurement of Long-Range Third-Order Coherence in Bose-Einstein Condensates

Science ◽  
2011 ◽  
Vol 331 (6020) ◽  
pp. 1046-1049 ◽  
Author(s):  
S. S. Hodgman ◽  
R. G. Dall ◽  
A. G. Manning ◽  
K. G. H. Baldwin ◽  
A. G. Truscott
Keyword(s):  
Long Range ◽  
Direct Measurement ◽  
Third Order ◽  
Bose Einstein

Probe size and 5th-order aberration

1987 ◽  
Vol 45 ◽  
pp. 134-135 ◽  
Author(s):  
Zhifeng Shao
Keyword(s):  
Electron Probe ◽  
Spherical Aberration ◽  
Wave Length ◽  
Cylindrical Symmetry ◽  
Electron Wave ◽  
Third Order ◽  
The Third ◽  
Probe Radius ◽  
Small Probe ◽  
Probe Size

A small electron probe has many applications in many fields and in the case of the STEM, the probe size essentially determines the ultimate resolution. However, there are many difficulties in obtaining a very small probe.Spherical aberration is one of them and all existing probe forming systems have non-zero spherical aberration. The ultimate probe radius is given byδ = 0.43Csl/4ƛ3/4where ƛ is the electron wave length and it is apparent that δ decreases only slowly with decreasing Cs. Scherzer pointed out that the third order aberration coefficient always has the same sign regardless of the field distribution, provided only that the fields have cylindrical symmetry, are independent of time and no space charge is present. To overcome this problem, he proposed a corrector consisting of octupoles and quadrupoles.

Children’s Recall of Approximations to English

1973 ◽  
Vol 16 (2) ◽  
pp. 201-212 ◽  
Author(s):  
Elizabeth Carrow ◽  
Michael Mauldin
Keyword(s):  
Language Development ◽  
Fourth Order ◽  
Third Order ◽  
Memory Processes ◽  
The Third ◽  
General Index ◽  
General Linguistic

As a general index of language development, the recall of first through fourth order approximations to English was examined in four, five, six, and seven year olds and adults. Data suggested that recall improved with age, and increases in approximation to English were accompanied by increases in recall for six and seven year olds and adults. Recall improved for four and five year olds through the third order but declined at the fourth. The latter finding was attributed to deficits in semantic structures and memory processes in four and five year olds. The former finding was interpreted as an index of the development of general linguistic processes.

The influence of third-order interactions on the density profile of associating hard spheres

1997 ◽  
Vol 91 (4) ◽  
pp. 761-767 ◽  
Author(s):  
D. HENDERSON ◽  
S. SOKOŁOWSKI ◽  
R. ZAGORSKI ◽  
A. TROKHYMCHUK
Keyword(s):  
Density Profile ◽  
Hard Spheres ◽  
Third Order
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