Results 21 to 30 of about 304 (49)

One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials

, 2008
We propose an exactly solvable model of one-dimensional anyons with competing $\delta$-function and derivative $\delta$-function interaction potentials.
A Kundu, Batchelor M T, Batchelor M T, Bernard D, del Campo A, Gaudin M, Hao Y Zhang Y Chen S, M T Batchelor, Osterloh A, Patu O I, Patu O I, Patu O I, Santachiara R, Santachiara R, Wilczek F, X-W Guan, Zhu R-G Wang A-M   +16 more
core   +1 more source

Factorized domain wall partition functions in trigonometric vertex models [PDF]

, 2007
We obtain factorized domain wall partition functions for two sets of trigonometric vertex models: 1. The N-state Deguchi-Akutsu models, for N = {2, 3, 4} (and conjecture the result for all N >= 5), and 2. The sl(r+1|s+1) Perk-Schultz models, for {r, s = \
Caradoc A, Caradoc A, Dow A, Izergin A G, Korepin V E, Kuperberg G, M Wheeler, M Zuparic, O Foda   +8 more
core   +1 more source

Identities in the Superintegrable Chiral Potts Model

, 2010
We present proofs for a number of identities that are needed to study the superintegrable chiral Potts model in the $Q\ne0$ sector.Comment: LaTeX 2E document, using iopart.cls with iopams packages. 11 pages, uses eufb10 and eurm10 fonts. Typeset twice!
Albertini G, Andrews G E, Au-Yang H, Au-Yang H, Au-Yang H Perk J H H, Baxter R J, Davies B, Helen Au-Yang, Iorgov N, Iorgov N, Jacques H H Perk, Lisovyy O, von Gehlen G, von Gehlen G, von Gehlen G, von Gehlen G   +15 more
core   +1 more source

Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions [PDF]

, 2015
We provide explicit formulas for the quantum integrals of a semi-infinite $q$-boson system with boundary interactions. These operators and their commutativity are deduced from the Pieri formulas for a $q\to 0$ Hall-Littlewood type degeneration of the ...
Emsiz, Erdal, van Diejen, Jan Felipe
core   +1 more source

Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics

, 2007
The U_q(\hat{sl}_2) vertex model at q=0 with periodic boundary condition is an integrable cellular automaton in one-dimension. By the combinatorial Bethe ansatz, the initial value problem is solved for arbitrary states in terms of an ultradiscrete ...
A. Kuniba, A. Kuniba, A. Kuniba, A.N. Kirillov, Atsuo Kuniba, B.A. Dubrovin, C.S. Gardner, D. Mumford, D. Takahashi, D. Yoshihara, E. Date, G. Hatayama, G. Hatayama, H.A. Bethe, K. Fukuda, M. Jimbo, M. Kac, M. Kashiwara, R.J. Baxter, Reiho Sakamoto, T. Tokihiro   +20 more
core   +3 more sources

Algebraic Bethe ansatz for open XXX model with triangular boundary matrices

, 2013
We consider open XXX spins chain with two general boundary matrices submitted to one constraint, which is equivalent to the possibility to put the two matrices in a triangular form. We construct Bethe vectors from a generalized algebraic Bethe ansatz. As
Belliard, S., Crampe, N., Ragoucy, E.
core   +3 more sources

Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry [PDF]

, 2012
We study the entanglement properties of a higher-integer-spin Affleck-Kennedy-Lieb-Tasaki model with quantum group symmetry in the periodic boundary condition.
Arita, Chikashi, Motegi, Kohei
core   +5 more sources

Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials [PDF]

, 2013
We present a semi-infinite q-boson system endowed with a four-parameter boundary interaction. The n-particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise as a degeneration of the ...
Emsiz, Erdal, van Diejen, Jan Felipe
core   +2 more sources

From the quantum Jacobi-Trudi and Giambelli formula to a nonlinear integral equation for thermodynamics of the higher spin Heisenberg model

, 2003
We propose a nonlinear integral equation (NLIE) with only one unknown function, which gives the free energy of the integrable one dimensional Heisenberg model with arbitrary spin.
Bazhanov V V, Domb C, Kirillov A N, Kirillov A N, Kirillov A N, Klümper A, Klümper A, Klümper A, Koma T, Kulish P P, Kuniba A, Sogo K, Suzuki J, Suzuki J, Suzuki M, Suzuki M, Takahashi M, Takahashi M, Takahashi M, Tsuboi Z, Zengo Tsuboi   +20 more
core   +1 more source

GOE and ${\rm Airy}_{2\to 1}$ marginal distribution via symplectic Schur functions [PDF]

, 2019
We derive Sasamoto's Fredholm determinant formula for the Tracy-Widom GOE distribution, as well as the one-point marginal distribution of the ${\rm Airy}_{2\to1}$ process, originally derived by Borodin-Ferrari-Sasamoto, as scaling limits of point-to-line
Bisi, Elia, Zygouras, Nikos
core   +2 more sources