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A detailed study of an $S={1\over2}$ spin ladder model is given. The ladder consists of plaquettes formed by nearest neighbor rungs with all possible SU(2)-invariant interactions. For properly chosen coupling constants, the model is shown…

Condensed Matter · Physics 2009-10-31 S. Albeverio , S. M. Fei , Y. P. Wang

We propose a transformation for spin and charge degrees of freedom in one-dimensional lattice systems, constrained to have no doubly occupied sites, that allows direct access to the dynamical correlations of the system. The transformation…

Quantum Gases · Physics 2024-05-03 Oleksandr Gamayun , Eoin Quinn , Kemal Bidzhiev , Mikhail B. Zvonarev

An integrable spin-ladder model with nearest-neighbor exchanges and biquadratic interactions is proposed. With the Bethe ansatz solutions of the model hamiltonian, it is found that there are three possible phases in the ground state, i.e.,…

Strongly Correlated Electrons · Physics 2009-10-31 Yupeng Wang

We load atoms into every site of an optical lattice and selectively spin flip atoms in a sublattice consisting of every other site. These selected atoms are separated from their unselected neighbors by less than an optical wavelength. We…

Quantum Physics · Physics 2007-08-15 P. J. Lee , M. Anderlini , B. L. Brown , J. Sebby-Strabley , W. D. Phillips , J. V. Porto

In this paper we propose an exactly solvable model of a topological insulator defined on a spin-1/2 square decorated lattice. Itinerant fermions defined in the framework of the Haldane model interact via the Kitaev interaction with spin-1/2…

Strongly Correlated Electrons · Physics 2014-10-17 Igor N. Karnaukhov , Igor O. Slieptsov

Entanglement entropy under a particle bipartition provides complementary information to mode entanglement as it is sensitive to interactions and particle statistics at leading order and does not depend on any externally imposed length…

Lattice systems with certain Lie algebraic or quantum Lie algebraic symmetries are constructed. These symmetric models give rise to series of integrable systems. As examples the $A_n$-symmetric chain models and the SU(2)-invariant ladder…

Quantum Physics · Physics 2007-05-23 Sergio Albeverio , Shao-Ming Fei

We investigate a two-leg spin ladder system composed of alternating-spin chains with two-different kind of spins. The fixed point properties are discussed by using spin-wave analysis and non-linear sigma model techniques. The model contains…

Statistical Mechanics · Physics 2009-10-30 T. Fukui , N. Kawakami

In this work, we investigate an exactly solvable two-leg spin ladder with three-spin interactions. We obtain analytically the finite-size corrections of the low-lying energies and determine the central charge as well as the scaling…

Statistical Mechanics · Physics 2012-08-30 D. Eloy , J. C. Xavier

We experimentally demonstrate that spin dynamics and the phase diagram of spinor condensates can be conveniently tuned by a two-dimensional optical lattice. Spin population oscillations and a lattice-tuned separatrix in phase space are…

Quantum Gases · Physics 2015-06-08 L. Zhao , J. Jiang , T. Tang , M. Webb , Y. Liu

We investigate the entanglement of a ladder of spins formed by two sublattices, a ''cluster'' chain and the ''environment'', consisting of independent spins, both coupled by an exchange interaction and evolving under a unitary discrete time…

Quantum Physics · Physics 2025-08-26 Kevissen Sellapillay , Laurent Raymond , Alberto D. Verga

We study the spin ladder model with interactions between spins on neighboring rungs. The model Hamiltonian with the exact singlet ground state degenerated with ferromagnetic state is obtained. The singlet ground state wave function has a…

Strongly Correlated Electrons · Physics 2009-10-31 D. V. Dmitriev , V. Ya. Krivnov , A. A. Ovchinnikov

A special family of solvable five-vertex model is introduced on a square lattice. In addition to the usual nearest neighbor interactions, the vertices defining the model also interact alongone of the diagonals of the lattice. Such family of…

Statistical Mechanics · Physics 2009-11-11 Anderson A. Ferreira , Francisco C. Alcaraz

The different quantum phases appearing in strongly correlated systems as well as their transitions are closely related to the entanglement shared between their constituents. In 1D systems, it is well established that the entanglement…

Strongly Correlated Electrons · Physics 2015-02-04 M. Moreno-Cardoner , S. Paganelli , G. De Chiara , A. Sanpera

We present a set of exactly solvable Ising models, with half-odd-integer spin-S on a square-type lattice including a quartic interaction term in the Hamiltonian. The particular properties of the mixed lattice, associated with mixed…

Statistical Mechanics · Physics 2009-11-13 Onofre Rojas , S. M. de Souza

This note gives a general construction of an integrable lattice model (and a solution of the Yang-Baxter equation with spectral parameter) from a four-dimensional field theory which is a mixture of topological and holomorphic. Spin-chain…

High Energy Physics - Theory · Physics 2014-04-15 Kevin J. Costello

We propose and implement a lattice scheme for coherently manipulating atomic spins. Using the vector light shift and a superlattice structure, we demonstrate experimentally the capability on parallel spin addressing in double-wells and…

Quantum Gases · Physics 2017-08-25 Bing Yang , Han-Ning Dai , Hui Sun , Andreas Reingruber , Zhen-Sheng Yuan , Jian-Wei Pan

Interactions between the different degrees of freedom form the basis of many manifestations of intriguing physics in condensed matter. In this respect, quantifying the dynamics of normal modes that themselves arise from these interactions…

An integrable Kondo lattice model, which describes a strongly correlated electron host interacting with a spin-1/2 lattice, is proposed. It is found that with the variations of the Kondo coupling J, the hole concentration n_h and the…

Strongly Correlated Electrons · Physics 2007-05-23 Yupeng Wang

The spin-1/2 Ising model on the bow-tie lattice is exactly solved by establishing a precise mapping relationship with its corresponding free-fermion eight-vertex model. Ground-state and finite-temperature phase diagrams are obtained for the…

Statistical Mechanics · Physics 2008-07-25 Jozef Strecka , Lucia Canova
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