Zobrazeno 1 - 10
of 625
pro vyhledávání: '"Links J"'
Autor:
van Tonder, W J P, Links, J
Several studies have exploited the integrable structure of central spin models to deepen understanding of these fundamental systems. In recent years, an underlying supersymmetry for systems with XX interactions has been uncovered. Here we report that
Externí odkaz:
http://arxiv.org/abs/2303.17837
High sensitivity quantum interferometry requires more than just access to entangled states. It is achieved through deep understanding of quantum correlations in a system. Integrable models offer the framework to develop this understanding. We communi
Externí odkaz:
http://arxiv.org/abs/2004.11987
Publikováno v:
J. Phys. A: Math. Theor. 50 (2017) 264001 (13pp)
In this work we present a general construction of integrable models for boson tunneling in multi-well systems. We show how the models may be derived through the Quantum Inverse Scattering Method and solved by algebraic Bethe ansatz means. From the tr
Externí odkaz:
http://arxiv.org/abs/1606.00816
Publikováno v:
J. Phys. A: Math. Theor. 48 (2015) 494001
We introduce an integrable, four-well ring model for bosons where the tunneling couplings between nearest-neighbour wells are not restricted to be equal. We show how the model may be derived through the Quantum Inverse Scattering Method from a soluti
Externí odkaz:
http://arxiv.org/abs/1507.07988
Publikováno v:
Inverse Problems 28 (2012), 035008
We introduce a variational approach for the Quantum Inverse Scattering Method to exactly solve a class of Hamiltonians via Bethe ansatz methods. We undertake this in a manner which does not rely on any prior knowledge of integrability through the exi
Externí odkaz:
http://arxiv.org/abs/1112.1740
Publikováno v:
Nucl. Phys. B, Vol. 844, no. 1, (2011), 129-145
We study an exactly solvable model of $D(D_3)$ non-Abelian anyons on a one-dimensional lattice with a free coupling parameter in the Hamiltonian. For certain values of the coupling parameter level crossings occur, which divide the ground-state phase
Externí odkaz:
http://arxiv.org/abs/1007.1550
Publikováno v:
Nucl.Phys.B836:171-185,2010
The exact solution for the energy spectrum of a one-dimensional Hamiltonian with local two-site interactions and periodic boundary conditions is determined. The two-site Hamiltonians commute with the symmetry algebra given by the Drinfeld double D(D_
Externí odkaz:
http://arxiv.org/abs/1003.3514
Publikováno v:
Nuclear Physics B 847 [FS] (2011), 387--412
The representation theory of the Drinfeld doubles of dihedral groups is used to solve the Yang-Baxter equation. Use of the 2-dimensional representations recovers the six-vertex model solution. Solutions in arbitrary dimensions, which are viewed as de
Externí odkaz:
http://arxiv.org/abs/1003.0501
Publikováno v:
Nucl. Phys. B, Vol. 812, no. 3 (2009) 456-469
A general formulation of the Boundary Quantum Inverse Scattering Method is given which is applicable in cases where $R$-matrix solutions of the Yang--Baxter equation do not have the property of crossing unitarity. Suitably modified forms of the refle
Externí odkaz:
http://arxiv.org/abs/0811.1248
Autor:
Dancer, K. A., Links, J.
Two universal spectral parameter-dependent Lax operators are presented in terms of the elements of the Drinfeld double $D(D_3)$ of the dihedral group $D_3$. Applying representations of $D(D_3)$ to these yields matrix solutions of the Yang-Baxter equa
Externí odkaz:
http://arxiv.org/abs/0810.5601