scholarly journals EXACT BETHE ANSATZ SOLUTION FOR An−1 CHAINS WITH NON-SUq(n) INVARIANT OPEN BOUNDARY CONDITIONS

1994 ◽  
Vol 09 (24) ◽  
pp. 2207-2216 ◽  
Author(s):  
H.J. de VEGA ◽  
A. GONZÁLEZ-RUIZ
Keyword(s):  
Boundary Conditions ◽  
Bethe Ansatz ◽  
Finite Size ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Nested Bethe Ansatz ◽  
Bethe Ansatz Solution ◽  
Size Correction ◽  
Reflection Equations ◽  
Eigenvectors And Eigenvalues

The nested Bethe ansatz is generalized to open and independent boundary conditions depending on two continuous and two discrete free parameters. This is used to find the exact eigenvectors and eigenvalues of the An−1 vertex models and SU (n) spin chains with such boundary conditions. The solution is found for all diagonal families of solutions to the reflection equations in all possible combinations. The Bethe ansatz equations are used to find the first order finite size correction.

Nested Bethe ansatz for the vertex model with open boundary conditions

2004 ◽  
Vol 696 (3) ◽  
pp. 381-412 ◽  
Author(s):  
Guang-Liang Li ◽  
Kang-Jie Shi ◽  
Rui-Hong Yue
Keyword(s):  
Boundary Conditions ◽  
Bethe Ansatz ◽  
Open Boundary ◽  
Vertex Model ◽  
Open Boundary Conditions ◽  
Nested Bethe Ansatz

Nested Bethe Ansatz for Spin Ladder Model with Open Boundary Conditions

2005 ◽  
Vol 43 (4) ◽  
pp. 687-694 ◽  
Author(s):  
Wu Jun-Fang ◽  
Zhang Chun-Min ◽  
Yue Rui-Hong ◽  
Li Run-Ling
Keyword(s):  
Boundary Conditions ◽  
Bethe Ansatz ◽  
Open Boundary ◽  
Spin Ladder ◽  
Open Boundary Conditions ◽  
Ladder Model ◽  
Nested Bethe Ansatz

scholarly journals Thermal Simulations, Open Boundary Conditions and Switches

2018 ◽  
Vol 175 ◽  
pp. 07004 ◽  
Author(s):  
Yannis Burnier ◽  
Adrien Florio ◽  
Olaf Kaczmarek ◽  
Lukas Mazur
Keyword(s):  
Boundary Conditions ◽  
Topological Charge ◽  
Finite Size ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Finite Size Effects ◽  
Compact Spaces ◽  
Integral Current ◽  
Thermal Simulations ◽  
The Continuum

SU(N) gauge theories on compact spaces have a non-trivial vacuum structure characterized by a countable set of topological sectors and their topological charge. In lattice simulations, every topological sector needs to be explored a number of times which reflects its weight in the path integral. Current lattice simulations are impeded by the so-called freezing of the topological charge problem. As the continuum is approached, energy barriers between topological sectors become well defined and the simulations get trapped in a given sector. A possible way out was introduced by Lüscher and Schaefer using open boundary condition in the time extent. However, this solution cannot be used for thermal simulations, where the time direction is required to be periodic. In this proceedings, we present results obtained using open boundary conditions in space, at non-zero temperature. With these conditions, the topological charge is not quantized and the topological barriers are lifted. A downside of this method are the strong finite-size effects introduced by the boundary conditions. We also present some exploratory results which show how these conditions could be used on an algorithmic level to reshuffle the system and generate periodic configurations with non-zero topological charge.

scholarly journals Algebraic Bethe ansatz for the eight-vertex model with general open boundary conditions

1996 ◽  
Vol 478 (3) ◽  
pp. 723-757 ◽  
Author(s):  
Heng Fan ◽  
Bo-yu Hou ◽  
Kang-jie Shi ◽  
Zhong-xia Yang
Keyword(s):  
Boundary Conditions ◽  
Bethe Ansatz ◽  
Open Boundary ◽  
Vertex Model ◽  
Open Boundary Conditions ◽  
Algebraic Bethe Ansatz

scholarly journals Small polaron with generic open boundary conditions: Exact solution via the off-diagonal Bethe ansatz

2015 ◽  
Vol 898 ◽  
pp. 276-285
Author(s):  
Xiaotian Xu ◽  
Junpeng Cao ◽  
Kun Hao ◽  
Zhan-Ying Yang ◽  
Wen-Li Yang
Keyword(s):  
Exact Solution ◽  
Boundary Conditions ◽  
Bethe Ansatz ◽  
Small Polaron ◽  
Open Boundary ◽  
Open Boundary Conditions
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