Results 11 to 20 of about 304 (49)

Universal Low Temperature Asymptotics of the Correlation Functions of the Heisenberg Chain [PDF]

, 2010
We calculate the low temperature asymptotics of a function $\gamma$ that generates the temperature dependence of all static correlation functions of the isotropic Heisenberg chain.Comment: Proceedings of the International Workshop "Recent Advances in ...
Crampé, Nicolas, Göhmann, Frank, Klümper, Andreas   +2 more
core   +6 more sources

Quantization scheme for modular q-difference equations [PDF]

, 2004
Modular pairs of some second order q-difference equations are considered. These equations may be interpreted as a quantum mechanics of a sort of hyperelliptic pendulum.
Sergeev, S.
core   +2 more sources

Bethe Equations for a g_2 Model [PDF]

, 2005
We prove, using the coordinate Bethe ansatz, the exact solvability of a model of three particles whose point-like interactions are determined by the root system of g_2. The statistics of the wavefunction are left unspecified.
Baxter R J, Bethe H, C A S Young, Chari V, Cherednik I, Drinfeld V G, Drinfeld V G, Ma Z Q, N Crampé, Sklyanin E K   +9 more
core   +2 more sources

Ground states of Heisenberg evolution operator in discrete three-dimensional space-time and quantum discrete BKP equations [PDF]

, 2009
In this paper we consider three-dimensional quantum q-oscillator field theory without spectral parameters. We construct an essentially big set of eigenstates of evolution with unity eigenvalue of discrete time evolution operator.
Bazhanov V V, Bazhanov V V, Bobenko A, Bogdanov L V, Kashaev R M, Korepanov I G, Korepanov I G, Sauer R, Sergeev S M, Sergeev S M, Sergeev S M, Sergeev S M, Sergey M Sergeev   +12 more
core   +1 more source

On the domain wall partition functions of level-1 affine so(n) vertex models [PDF]

, 2006
We derive determinant expressions for domain wall partition functions of level-1 affine so(n) vertex models, n >= 4, at discrete values of the crossing parameter lambda = m pi / 2(n-3), m in Z, in the critical regime.Comment: 14 pages, 13 figures ...
A Dow, Baxter R J, Bressoud D M, Caradoc A, Date A, Izergin A G, Korepin V E, O Foda   +7 more
core   +2 more sources

Slavnov and Gaudin-Korepin Formulas for Models without ${\rm U}(1)$ Symmetry: the Twisted XXX Chain [PDF]

, 2015
We consider the XXX spin-$\frac{1}{2}$ Heisenberg chain on the circle with an arbitrary twist. We characterize its spectral problem using the modified algebraic Bethe anstaz and study the scalar product between the Bethe vector and its dual.
Belliard, Samuel, Pimenta, Rodrigo A.
core   +3 more sources

A Dicke Type Model for Equilibrium BEC Superradiance [PDF]

, 2004
We study the effect of electromagnetic radiation on the condensate of a Bose gas. In an earlier paper we considered the problem for two simple models showing the cooperative effect between Bose-Einstein condensation and superradiance.
Andreev A V, André Verbeure, Brankov J G, Fannes M, Girardeau M, Hepp K, Joseph V Pulé, Pulé J V, Robinson D W, Valentin A Zagrebnov, van den Berg M   +10 more
core   +5 more sources

Higher spin vertex models with domain wall boundary conditions [PDF]

, 2006
We derive determinant expressions for the partition functions of spin-k/2 vertex models on a finite square lattice with domain wall boundary conditions.Comment: 14 pages, 12 figures. Minor corrections.
A Caradoc, Baxter R J, Bressoud D M, Date A, Foda O Kitanine N Orrick W Welsh T A, Izergin A G, Korepin V E, Lima-Santos A, N Kitanine, O Foda, Zamolodchikov A B   +10 more
core   +3 more sources

Exact form factors for the Josephson tunneling current and relative particle number fluctuations in a model of two coupled Bose-Einstein condensates

, 2002
Form factors are derived for a model describing the coherent Josephson tunneling between two coupled Bose-Einstein condensates. This is achieved by studying the exact solution of the model in the framework of the algebraic Bethe ansatz.
Links, J., Zhou, H. -Q.
core   +1 more source

On Integrable Quantum Group Invariant Antiferromagnets [PDF]

, 1992
A new open spin chain hamiltonian is introduced. It is both integrable (Sklyanin`s type $K$ matrices are used to achieve this) and invariant under ${\cal U}_{\epsilon}(sl(2))$ transformations in nilpotent irreps for $\epsilon^3=1$. Some considerations on
Affleck, Arnaudon, Belavin, Berkovich, Bløte, C. Gómez, Cardy, Cardy, G. Sierra, Ge, Gómez, Gómez, Gómez, Gómez, Jones, Kauffman, Martin, Mezincescu, Moore, Pasquier, R. Cuerno, Rozansky, Sklyanin, Zamolodchikov   +23 more
core   +4 more sources