scholarly journals Exact solution for the degenerate ground-state manifold of a strongly interacting one-dimensional Bose-Fermi mixture

2011 ◽  
Vol 84 (2) ◽  
Author(s):  
Bess Fang ◽  
Patrizia Vignolo ◽  
Mario Gattobigio ◽  
Christian Miniatura ◽  
Anna Minguzzi
Keyword(s):  
Exact Solution ◽  
Ground State ◽  
One Dimensional ◽  
Strongly Interacting ◽  
Degenerate Ground State

EXACT GROUND STATES OF ONE-DIMENSIONAL VALENCE-BOND-SOLID HAMILTONIANS

1987 ◽  
Vol 01 (05n06) ◽  
pp. 231-237 ◽  
Author(s):  
P.L. Iske ◽  
W.J. Caspers
Keyword(s):  
Ground State ◽  
Valence Bond ◽  
Ground States ◽  
Open Chain ◽  
State Correlation ◽  
One Dimensional ◽  
Degenerate Ground State ◽  
Closed Chain ◽  
Ground State Correlation ◽  
Valence Bond Solid

The ground state(s) of a Hamiltonian, introduced by Affleck, Kennedy, Lieb and Tasaki, in connection with the Valence-Bond-Solid (VBS) states, are explicitly given for the spin-1 chains. The structure of these ground states is a rather simple one. For a closed chain we find a unique ground state; for the open chain we find a fourfold-degenerate ground state. The ground state correlation function for the ring is calculated.

scholarly journals Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases

2008 ◽  
Vol 100 (16) ◽  
Author(s):  
F. Deuretzbacher ◽  
K. Fredenhagen ◽  
D. Becker ◽  
K. Bongs ◽  
K. Sengstock ◽  
...  
Keyword(s):  
Exact Solution ◽  
Bose Gases ◽  
One Dimensional ◽  
Strongly Interacting

TWO ONE-DIMENSIONAL INTERACTING PARTICLES IN A HARMONIC TRAP

2009 ◽  
Vol 23 (18) ◽  
pp. 3709-3715 ◽  
Author(s):  
BO-BO WEI
Keyword(s):  
Exact Solution ◽  
Wave Function ◽  
Ground State ◽  
State Energy ◽  
Energy Levels ◽  
Harmonic Trap ◽  
Strong Interactions ◽  
Interacting Particles ◽  
One Dimensional ◽  
Asymptotic Expressions

In this brief report, two one-dimensional interacting particles interacting with a delta interaction in a harmonic trap is discussed. For strong interactions, we derive the asymptotic expressions for all the energy levels. In addition, the variational method is used to obtain asymptotic ground state energy and wave function. The variational results are compared with the exact solution and they turn out to agree very well.

Exact Solution of Ground State for Uniformly Distributed RVB in One-Dimensional Spin-1/2 Heisenberg Systems with Frustration

1988 ◽  
Vol 57 (6) ◽  
pp. 1891-1894 ◽  
Author(s):  
Takehiko Hamada ◽  
Jun-ichi Kane ◽  
Shin-ichi Nakagawa ◽  
Yuhei Natsume
Keyword(s):  
Exact Solution ◽  
Ground State ◽  
One Dimensional
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