Efimov states in ultracold gases 

Author:  Savikko, Mikko^{1} 
Organizations: 
^{1}University of Oulu, Faculty of Science, Department of Physics, Geoscience and Chemistry, Physics 
Format:  ebook 
Version:  published version 
Access:  open 
Online Access:  PDF Full Text (PDF, 0.6 MB) 
Persistent link:  http://urn.fi/URN:NBN:fi:oulu201403111157 
Language:  English 
Published: 
Oulu :
M. Savikko,
2014

Publish Date:  20140311 
Physical Description: 
88 p. 
Thesis type:  Master's thesis 
Tutor: 
Saarela, Mikko 
Reviewer: 
Thuneberg, Erkki Saarela, Mikko 
Description: 
Abstract This work will introduce the Efimov effect and the resonant and scaling limits and derive the formula for the binding energies of the Efimov states. We use the hyperspherical coordinates for the stationary wave function of three particles and solve the lowenergy Faddeev equation with the hyperspherical expansion and use the expansion for solving the channel eigenvalues. The channel eigenvalues are defined by a constant, which is the solution of the resulting transcendental equation. We also solve the scalingviolation parameter and finally compile all the results to derive the Efimov states. In the unitary limit we find infinitely many Efimov states, with an accumulation point at zero energy and an asymptotic discrete scaling symmetry with the discrete scaling factor of about 22.7. In this work, we will also delve into effective field theories, which can be used to numerically analyze and solve Efimov states in different cases. We will first go through the twobody problem which is used as a simpler example on how to solve the threebody problem and to solve the twobody coupling constant, which will also appear in the threebody problem. By using the diatom field trick introduced by Bedaque, Hammer and van Kolck, we derive the SkorniakovTerMartirosian equation for the threebody problem. Finally this work will take a quick look at the first experimental evidences for Efimov states that were found since 2006. In the experiment, proper Efimov resonances in measurements of threebody recombination have been observed. see all

Subjects:  
Copyright information: 
© Mikko Savikko, 2014. This publication is copyrighted. You may download, display and print it for your own personal use. Commercial use is prohibited. 