Bose-Einstein Condensates in Optical Lattices

Bose-Einstein Condensates in Optical Lattices PDF Author: Leonardo Fallani
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Category :
Languages : en
Pages : 161

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Bose-Einstein Condensates in Optical Lattices

Bose-Einstein Condensates in Optical Lattices PDF Author: Leonardo Fallani
Publisher:
ISBN:
Category :
Languages : en
Pages : 161

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Localisation of Bose-Einstein Condensates in Optical Lattices

Localisation of Bose-Einstein Condensates in Optical Lattices PDF Author: Russell Campbell
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Category :
Languages : en
Pages : 0

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The properties of Bose-Einstein condensates can be studied and controlled effectively when trapped in optical lattices formed by two counter-propagating laser beams. The dynamics of Bose-Einstein condensates in optical lattices are well-described by a continuous model using the Gross-Pitaevskii equation in a modulated potential or, in the case of deep potentials, a discrete model using the Discrete Nonlinear Schrodinger equation. Spatially localised modes, known as lattice solitons in the continuous model, or discrete breathers in the discrete model, can occur and are the focus of this thesis. Theoretical and computational studies of these localised modes are investigated in three different situations. Firstly, a model of a Bose-Einstein condensate in a ring optical lattice with atomic dissipations applied at a stationary or at a moving location on the ring is presented in the continuous model. The localised dissipation is shown to generate and stabilise both stationary and traveling lattice solitons. The solutions generated include spatially stationary quasiperiodic lattice solitons and a family of traveling lattice solitons with two intensity peaks per potential well with no counterpart in the discrete case. Collisions between traveling and stationary lattice solitons as well as between two traveling lattice solitons display a dependence on the lattice depth. Then, collisions with a potential barrier of either travelling lattice solitons or travelling discrete breathers are investigated along with their dependence on the height of the barrier. Regions of complete reection or of partial reflection where the incoming soliton/breather is split in two, are observed and understood interms of the soliton properties. Partial trapping of the atoms in the barrier is observed for positive barrier heights due to the negative effective mass of the solitons/breathers. Finally, two coupled discrete nonlinear Schrodinger equations can describe the interaction and collisions of breathers in two-species Bose-Einstein condensates in deep optical lattices. This is done for two cases of experimental relevance: a mixture of two ytterbium isotopes and a mixture of Rubidium (87Rb) and Potassium(41K) atoms. Depending on their initial separation, interaction between stationary breathers of different species can lead to the formation of symbiotic localised structures or transform one of the breathers from a stationary one into a travelling one. Collisions between travelling and stationary discrete breathers composed of different species are separated in four distinct regimes ranging from totally elastic when the interspecies interaction is highly attractive to mutual destruction when the interaction is suffciently large and repulsive.

Bose-Einstein Condensates in Optical Lattices

Bose-Einstein Condensates in Optical Lattices PDF Author: Jongchul Mun
Publisher:
ISBN:
Category :
Languages : en
Pages : 177

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87Rb Bose Einstein Condensate in 3D optical lattice was studied in the regime of weak interaction(the superfluid phase) and strong interaction(the Mott insulating phase). The stability of superfluid currents was studied using a moving optical lattice. The critical momentum for stable superfluid current varies from 0.5 recoil momentum (shallow lattice) to 0 (the Mott insulator) as the system reaches the Mott insulator transition. The phase diagram for the disappearance of superfluidity was studied as a function of momentum and lattice depth. Our phase diagram boundary extrapolates to the critical lattice depth for the superfluid-to-MI transition. When a one-dimensional gas was loaded into a moving optical lattice a sudden broadening of the transition between stable and unstable phases was observed. A new auxiliary vacuum chamber, which is called the science chamber, was designed and installed to improve optical lattice experimental performance and imaging resolution power. Atoms are transported from the main chamber to the science chamber. By further evaporation cooling, BECs with N - 2-3 x 104 atoms are produced in a combination trap of two focused IR laser beams. High-resolution imaging was obtained with a 4-lens stack providing a resolution of - 2pm. The deep Mott insulator(MI) phase was studied using clock shift spectroscopy. Individual MI phases with integer occupation numbers could be addressed through their clock shifts, and their spatial density profile could be imaged ("shell structure"). With increasing trap depth, MI shells expanded from low to high density regions of the cloud.

Dynamics of Bose-Einstein Condensates in Optical Lattices

Dynamics of Bose-Einstein Condensates in Optical Lattices PDF Author: Sarah McKinney
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ISBN:
Category : Bose-Einstein condensation
Languages : en
Pages : 138

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Dipolar Bose-Einstein Condensates in Optical Lattices

Dipolar Bose-Einstein Condensates in Optical Lattices PDF Author: Kazimierz Łakomy
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Category :
Languages : en
Pages : 0

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Hikari Kōshichū No Bōsu-Ainshutain Gyōshukutai Ni Kansuru Rironteki Kenkyū

Hikari Kōshichū No Bōsu-Ainshutain Gyōshukutai Ni Kansuru Rironteki Kenkyū PDF Author: Shunji Tsuchiya
Publisher:
ISBN:
Category :
Languages : en
Pages : 90

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Bose-Einstein Condensates in Optical Lattices

Bose-Einstein Condensates in Optical Lattices PDF Author: Henrik Kjær Andersen
Publisher:
ISBN:
Category :
Languages : en
Pages : 166

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Bose-Einstein Condensation

Bose-Einstein Condensation PDF Author: Lev. P. Pitaevskii
Publisher: Oxford University Press
ISBN: 9780198507192
Category : Science
Languages : en
Pages : 392

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Bose-Einstein Condensation represents a new state of matter and is one of the cornerstones of quantum physics, resulting in the 2001 Nobel Prize. Providing a useful introduction to one of the most exciting field of physics today, this text will be of interest to a growing community of physicists, and is easily accessible to non-specialists alike.

Dynamics of Bose-Einstein Condensates in Optical Lattices

Dynamics of Bose-Einstein Condensates in Optical Lattices PDF Author: Karen Anna Clara Braun-Munzinger
Publisher:
ISBN:
Category : Bose-Einstein condensation
Languages : en
Pages : 190

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Eighty-seven Rubidium Bose-Einstein Condensates in Optical Lattices

Eighty-seven Rubidium Bose-Einstein Condensates in Optical Lattices PDF Author: Gretchen Kathleen Campbell
Publisher:
ISBN:
Category :
Languages : en
Pages : 142

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(Cont.) When a small fraction of atoms was first transferred to k1 before ramping on the lattice, we observed the amplification of scattered atoms into k1 and k2. The superfluid-Mott Insulator transition was studied using microwave spectroscopy in a deep three-dimensional optical lattice. Using the density dependent clock shift we were able to spectroscopically distinguish sites with different occupation numbers, and to directly image sites with occupation number from 1 to 5, revealing the shell structure of the Mott Insulator phase.