Sodium Bose-Einstein condensates in an optical lattice

We calculate single atom heating rates in a far detuned optical lattice, in connection with recent experiments. We first derive a master equation, including a realistic atomic internal structure and a quantum treatment of the atomic motion in the lattice. The experimental feature that optical lattices are obtained by superimposing laser standing waves of different frequencies is also included, which leads to a micromotional correction to the light shift that we evaluate. We then calculate, and compare to experimental results, two heating rates, the "total" heating rate (corresponding to the increase of the total mechanical energy of the atom in the lattice), and the ground bande heating rate (corresponding to the increase of energy within the ground energy band of the lattice).

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“…(11,13,14). As discussed in the caption of Table I, all these corrections are negligible to a good accuracy for typical experimental parameters.…”

Section: B Laser Configurationmentioning

confidence: 74%

Heating rates for an atom in a far-detuned optical lattice

Gerbier

Castin

2010

Phys. Rev. A

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“…(27), (28) are vectors of the reciprocal lattice determined by the conditions exp (ig j · x l ) = 1. In terms of the primitive vectors of the reciprocal lattice b ν , defined by the identities a ν1 · b ν2 = 2πδ ν1ν2 , g j have the following representation:…”

Section: Multi-dimensional Latticesmentioning

confidence: 99%

“…Most of experiments in optical lattices are performed with alkali-metal atoms, mainly with Rb (see, e.g., [3-5, 7, 21-25]) and also with Li [26,27], Na [28,29], K [30], Cs [6,12,31]. In recent years this list was extended and includes also Yb [32], which belongs to the atoms of the alkaline-earth metals, and Cr [33] which is a transition metal.…”

Section: Introductionmentioning

confidence: 99%

Ultracold bosons with short-range interaction in regular optical lattices

2016

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During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different types of the bosonic systems in homogeneous lattices of different dimensions as well as in the presence of harmonic traps are considered. An overview of the theoretical methods used for these investigations as well as of the obtained results is given. Available experimental techniques are presented and discussed in connection with theoretical considerations. Eigenstates of the interacting bosons in homogeneous lattices and in the presence of harmonic confinement are analyzed. Their knowledge is essential for understanding of quantum phase transitions at zero and finite temperature.

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“…The up-conversion step has been demonstrated with near unit efficiency, 293 with the other factors limiting the overall efficiency to 56% to 59% to date. 254,293,321,323 Background count rates are also of concern as the up-conversion process can produce a significant number of unwanted photons. To address this, having the upconversion pump photon at an energy lower than the IR photon to be up-converted rather than the other way around, may prove advantageous in some applications.…”

Section: Up-conversion Single-photon Detectormentioning

confidence: 99%