Spontaneous dimerization in the ground state of one-dimensional frustrated Heisenberg antiferromagnets

1991 ◽  
Vol 43 (4) ◽  
pp. 3710-3711 ◽  
Author(s):  
Alberto Pimpinelli
Keyword(s):  
Ground State ◽  
One Dimensional ◽  
Heisenberg Antiferromagnets

scholarly journals Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Przemysław Kościk ◽  
Arkadiusz Kuroś ◽  
Adam Pieprzycki ◽  
Tomasz Sowiński
Keyword(s):  
Boundary Conditions ◽  
Ground State ◽  
Pair Correlation ◽  
Contact Interactions ◽  
One Dimensional ◽  
Particle Correlations ◽  
Variational Scheme ◽  
Full Control ◽  
Arbitrary Shapes

AbstractWe derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. It is based on assumption that all inter-particle correlations have two-body nature. By construction, the proposed ansatz is exact in the noninteracting limit, exactly encodes boundary conditions forced by contact interactions, and gives full control on accuracy in the limit of infinite repulsions. We show its efficiency in a whole range of intermediate interactions for different external potentials. Our results manifest that for generic non-parabolic potentials mutual correlations forced by interactions cannot be captured by distance-dependent functions.

Spin-singlet quantum ground state in one-dimensional magnet vanadyl diacetate

2019 ◽  
Vol 473 ◽  
pp. 236-240
Author(s):  
E.A. Zvereva ◽  
T.M. Vasilchikova ◽  
M.I. Stratan ◽  
S.A. Ibragimov ◽  
I.S. Glazkova ◽  
...  
Keyword(s):  
Ground State ◽  
One Dimensional ◽  
Spin Singlet ◽  
Quantum Ground State
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