Ground-State Properties of the Frustrated One-Dimensional S=1 Heisenberg Model

1992 ◽  
pp. 177-178
Author(s):  
T. Tonegawa ◽  
M. Kaburagi ◽  
N. Ichikawa ◽  
I. Harada
Keyword(s):  
Ground State ◽  
Heisenberg Model ◽  
One Dimensional ◽  
Ground State Properties

scholarly journals Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap

2010 ◽  
Vol 81 (6) ◽  
Author(s):  
F. Deuretzbacher ◽  
J. C. Cremon ◽  
S. M. Reimann
Keyword(s):  
Ground State ◽  
Harmonic Trap ◽  
One Dimensional ◽  
Ground State Properties

scholarly journals Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap

2006 ◽  
Vol 73 (6) ◽  
Author(s):  
Yajiang Hao ◽  
Yunbo Zhang ◽  
J. Q. Liang ◽  
Shu Chen
Keyword(s):  
Ground State ◽  
Hard Wall ◽  
Bose Gases ◽  
One Dimensional ◽  
Ground State Properties ◽  
Ultracold Bose Gases

Ground-state properties of one-dimensional spin glass

1986 ◽  
Vol 19 (15) ◽  
pp. 2785-2798 ◽  
Author(s):  
B Fechner ◽  
M Blaszyk
Keyword(s):  
Spin Glass ◽  
Ground State ◽  
One Dimensional ◽  
Ground State Properties

scholarly journals Homogeneous one-dimensional Bose–Einstein condensate in the Bogoliubov’s regime

2016 ◽  
Vol 30 (22) ◽  
pp. 1650307 ◽  
Author(s):  
Elías Castellanos
Keyword(s):  
Ground State ◽  
Size Effects ◽  
Finite Size ◽  
Einstein Condensate ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Ground State Properties ◽  
Low Dimensional ◽  
Bose Einstein

We analyze the corrections caused by finite size effects upon the ground state properties of a homogeneous one-dimensional (1D) Bose–Einstein condensate. We assume from the very beginning that the Bogoliubov’s formalism is valid and consequently, we show that in order to obtain a well-defined ground state properties, finite size effects of the system must be taken into account. Indeed, the formalism described in the present paper allows to recover the usual properties related to the ground state of a homogeneous 1D Bose–Einstein condensate but corrected by finite size effects of the system. Finally, this scenario allows us to analyze the sensitivity of the system when the Bogoliubov’s regime is valid and when finite size effects are present. These facts open the possibility to apply these ideas to more realistic scenarios, e.g. low-dimensional trapped Bose–Einstein condensates.

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