Manipulations of cold atoms on a chip: double well potential and 1D Bose gas

2012 ◽  
Author(s):  
Jason Alexander ◽  
Violeta Prieto ◽  
Christopher Rowlett ◽  
William Golding ◽  
Patricia Lee
2014 ◽  
Vol 28 (24) ◽  
pp. 1430015 ◽  
Author(s):  
Xiwen Guan

This article briefly reviews recent theoretical developments in quantum critical phenomena in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion on quantum phase transitions, universal thermodynamics, scaling functions and correlations for a few prototypical exactly solved models, such as the Lieb–Liniger Bose gas, the spin-1 Bose gas with antiferromagnetic spin-spin interaction, the two-component interacting Fermi gas as well as spin-3/2 Fermi gases. We demonstrate that their corresponding Bethe ansatz solutions provide a precise way to understand quantum many-body physics, such as quantum criticality, Luttinger liquids (LLs), the Wilson ratio, Tan's Contact, etc. These theoretical developments give rise to a physical perspective using integrability for uncovering experimentally testable phenomena in systems of interacting bosonic and fermonic ultracold atoms confined to 1D.


2010 ◽  
Vol 59 (4) ◽  
pp. 2187
Author(s):  
Cao Hui ◽  
Zhao Qing

2008 ◽  
Vol 77 (3) ◽  
Author(s):  
J. M. Zhang ◽  
W. M. Liu ◽  
D. L. Zhou

2016 ◽  
Vol 93 (1) ◽  
Author(s):  
Qing-Shou Tan ◽  
Hai-Yan Lu ◽  
Su Yi

2009 ◽  
Vol 23 (32) ◽  
pp. 5867-5880 ◽  
Author(s):  
M. C. DE OLIVEIRA ◽  
B. R. DA CUNHA

The overlap of localized wave functions in a two-mode approximation leads to interaction (cross-collision) between ultra-cold atoms trapped in distinct sites of a double-well potential. We show that this interaction can significantly change the atom tunneling rate for special trap configurations resulting in an effective linear Rabi regime of population oscillation between the trap wells. In this sense, we demonstrate that cross-collisional effects can significantly extend the validity of the two-mode model approach allowing it to be alternatively employed to explain the recently observed increase of tunneling rates due to nonlinear interactions. Moreover, we investigate the extension for ultra-cold atoms trapped in an optical lattice. Control over the cross-collisional terms, obtained through manipulation of the optical trapping potential, can be used as an engineering tool to study many-body physics.


2008 ◽  
Vol 83 (6) ◽  
pp. 64007 ◽  
Author(s):  
J. Chwedeńczuk ◽  
B. Oleś ◽  
K. Sacha ◽  
M. Trippenbach

Sign in / Sign up

Export Citation Format

Share Document