scholarly journals Low-energy excitation spectrum of one-dimensional dipolar quantum gases

2008 ◽  
Vol 77 (21) ◽  
Author(s):  
S. De Palo ◽  
E. Orignac ◽  
R. Citro ◽  
M. L. Chiofalo
1994 ◽  
Vol 235-240 ◽  
pp. 2257-2258 ◽  
Author(s):  
R. Markendorf ◽  
M.V. Eremin ◽  
S.V. Varlamov ◽  
D. Brinkmann ◽  
M. Mali ◽  
...  

2001 ◽  
Vol 63 (10) ◽  
Author(s):  
R. Manzke ◽  
R. Müller ◽  
C. Janowitz ◽  
M. Schneider ◽  
A. Krapf ◽  
...  

2018 ◽  
Vol 32 (21) ◽  
pp. 1850221 ◽  
Author(s):  
P. Schlottmann

A one-dimensional gas mixture consisting of bosons and fermions without spin interacting via a repulsive [Formula: see text]-function potential is considered. The model is integrable and soluble via two nested Bethe ansatz, if all particles are assumed to have equal masses and the interaction strength between the bosons and among the bosons and fermions is the same. The low energy excitation spectrum is a two-component Luttinger liquid and can be parametrized by a conformal field theory with conformal charges c = 1. In the low-energy limit, where the band curvature terms in the dispersion can be neglected, the linear dispersion of a Luttinger liquid is asymptotically exact. The spectral function, however, displays deviations from the Luttinger behavior for higher energy excitations. In the neighborhood of the single-particle (hole) energy, the spectral function is represented by an effective X-ray edge type model. Expressions of the critical exponents for the single-hole Green’s function are obtained using the Bethe ansatz solution in the limit of the bosonic gas. The results could be of relevance in the context of ultracold atoms confined to an elongated optical trap.


1998 ◽  
Vol 245 (1-2) ◽  
pp. 167-171 ◽  
Author(s):  
Yuguang Chen ◽  
Qingshan Yuan ◽  
Hong Chen ◽  
Yumei Zhang

2020 ◽  
pp. 2060006
Author(s):  
Chiara Boccato

We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein.


Sign in / Sign up

Export Citation Format

Share Document