Results 11 to 20 of about 319 (51)

A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION

Forum of Mathematics, Pi, 2019
In last passage percolation models lying in the Kardar–Parisi–Zhang (KPZ) universality class, the energy of long energy-maximizing paths may be studied as a function of the paths’ pair of endpoint locations.
ALAN HAMMOND
doaj   +1 more source

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

Quantum relativistic Toda chain

Journal of Applied Mathematics, Volume 1, Issue 2, Page 47-68, 2001., 2001
Investigated is the quantum relativistic periodic Toda chain, to each site of which the ultra‐local Weyl algebra is associated. Weyl’s q we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six‐vertex R‐matrix.
G. Pronko, Sergei Sergeev
wiley   +1 more source

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

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   +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

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

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

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

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