Results 1  10
of
105,646
Completeness of the Bethe Ansatz solution
, 2003
"... of the open XXZ chain with nondiagonal boundary terms ..."
Bethe ansatz solution of the topological Kondo model
"... Abstract. Conduction electrons coupled to a mesoscopic superconducting island hosting Majorana bound states have been shown to display a topological Kondo effect with robust nonFermi liquid correlations. With M bound states coupled to M leads, this is an SO(M) Kondo problem, with the asymptotic hig ..."
Abstract
 Add to MetaCart
high and low energy theories known from bosonization and conformal field theory studies. Here we complement these approaches by analyzing the Bethe ansatz equations describing the exact solution of these models at all energy scales. We apply our findings to obtain nonperturbative results
Variational state based on the Bethe ansatz solution and a
, 2008
"... correlated singlet liquid state in the onedimensional tJ model ..."
Origin of the singular Bethe ansatz solutions for the Heisenberg XXZ spin chain
, 2000
"... We investigate symmetry properties of the Bethe ansatz wave functions for the Heisenberg XXZ spin chain. The XXZ Hamiltonian commutes simultaneously with the shift operator T and the lattice inversion operator V in the space of# =1 with# the eigenvalue of T . We show that the Bethe ansatz solutions ..."
Abstract

Cited by 6 (0 self)
 Add to MetaCart
solutions with normalizable wave functions cannot be the eigenstates of T and V with quantum number ( # #)=(1;#1) where # is the eigenvalue of V . Therefore, the Bethe ansatz wave functions should be singular for nondegenerate eigenstates of the Hamiltonian with quantum number (# #)=(1;#1). It is also
STRONG COUPLING LIMIT OF BETHE ANSATZ SOLUTIONS IN MASSIVE THIRRING MODEL
, 1999
"... We study the strong coupling limit of the Bethe ansatz solutions in the massive Thirring model. We find analytical expressions for the energy eigenvalues for the vacuum state as well as n−particle n − hole states. This formula is compared with the numerical results and is found to achieve a very goo ..."
Abstract
 Add to MetaCart
We study the strong coupling limit of the Bethe ansatz solutions in the massive Thirring model. We find analytical expressions for the energy eigenvalues for the vacuum state as well as n−particle n − hole states. This formula is compared with the numerical results and is found to achieve a very
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations ⋆
"... Abstract. Bethe ansatz formulation is presented for several explicit examples of quasi exactly solvable difference equations of one degree of freedom which are introduced recently by one of the present authors. These equations are deformation of the wellknown exactly solvable difference equations o ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
ansatz equations. The corresponding eigenvalues are expressed in terms of these roots. Key words: Bethe ansatz solution; quasiexactly solvable models 2000 Mathematics Subject Classification: 35Q40; 37N20; 39A70; 82B23 1
Bethe Ansatz Solutions and Excitation Gap of the Attractive BoseHubbard Model
"... INTRODUCTION The dynamics of many simple nonequilibrium systems are often studied through corresponding quantum Hamiltonians. Examples are the asymmetric XXZ chain Hamiltonian and the attractive BoseHubbard Hamiltonian for the singlestep growth model [1] and the directed polymers in random media ..."
Abstract
 Add to MetaCart
INTRODUCTION The dynamics of many simple nonequilibrium systems are often studied through corresponding quantum Hamiltonians. Examples are the asymmetric XXZ chain Hamiltonian and the attractive BoseHubbard Hamiltonian for the singlestep growth model [1] and the directed polymers in random media (DPRM) [2], respectively. The singlestep growth model is a KardarParisiZhang (KPZ) universality class growth model where the interface height h(x, t) grows in a stochastic manner under the condition that h(x 1, t)  h(x, t) = 1. The process is also called the asymmetric exclusion process (ASEP) in a di#erent context. The evolution of the probability distribution for h(x, t) is generated by the asymmetric XXZ chain Hamiltonian [3]. The entire information about the dynamics is coded in the generati
Bethe Ansatz solution for a defect particle in the asymmetric exclusion process
 J. Phys. A: Math. Gen
, 1999
"... Abstract: The asymmetric exclusion process on a ring in onedimension is considered with a single defect particle. The steady state has previously been solved by a matrix product method. Here we use the Bethe ansatz to solve exactly for the long time limit behaviour of the generating function of the ..."
Abstract

Cited by 12 (1 self)
 Add to MetaCart
Abstract: The asymmetric exclusion process on a ring in onedimension is considered with a single defect particle. The steady state has previously been solved by a matrix product method. Here we use the Bethe ansatz to solve exactly for the long time limit behaviour of the generating function
BETHE–ANSATZ SOLUTION OF A MODIFIED SU(3)XXZMODEL
, 2001
"... We investigate a solvable SU(3)XXZmodel modified by elements of the Cartansubalgebra. The nested BetheAnsatz is discussed in detail and the corresponding quantum spin model is stated. The coupled Betheequations are solved in the thermodynamic limit. Effects of the modification on the finite size ..."
Abstract
 Add to MetaCart
We investigate a solvable SU(3)XXZmodel modified by elements of the Cartansubalgebra. The nested BetheAnsatz is discussed in detail and the corresponding quantum spin model is stated. The coupled Betheequations are solved in the thermodynamic limit. Effects of the modification on the finite
Results 1  10
of
105,646