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The diagonalisation of the transfer matrices of solvable vertex models with alternating spins is given. The crystal structure of (semi-)infinite tensor products of finite-dimensional $U_q(\hat{sl}_2)$ crystals with alternating dimensions is…

Quantum Algebra · Mathematics 2016-12-30 Jin Hong , Seok-Jin Kang , Tetsuji Miwa , Robert Weston

We investigate weakly coupled spin-1/2 ladders in a magnetic field. The work is motivated by recent experiments on the compound (C5H12N)2CuBr4 (BPCB). We use a combination of numerical and analytical methods, in particular the density…

We perform a systematic investigation of an asymmetric zig-zag spin ladder with inter-leg exchange $J_1$ and different exchange integrals $J_2 \pm \delta$ on both legs. In the weak limit of frustration, the spin model can be mapped to a…

Strongly Correlated Electrons · Physics 2016-08-16 Shu Chen , H. Büttner , J. Voit

We consider the isotropic spin-1/2 two-leg ladders with the dominant spatially modulated rung exchanges. We study the effect of a uniform magnetic field on the ground state phase diagram of the model using the perturbation theory and the…

Strongly Correlated Electrons · Physics 2011-11-21 Somayyeh Nemati , Saeed Mahdavifar , Saeed Batebi

Ultracold dipolar particles pinned in optical lattices or tweezers provide an excellent platform for studying out-of-equilibrium quantum magnetism with dipole-mediated couplings. Starting with an initial state with spins of opposite…

The nonlinear mechanics of a flexible elastic rod constrained at its edges by a pair of sliding sleeves is analyzed. The planar equilibrium configurations of this variable-length elastica are found to have shape defined only by the…

Soft Condensed Matter · Physics 2024-09-19 Alessandro Cazzolli , Francesco Dal Corso

For w-legged antiferromagnetic spin-1/2 Heisenberg ladders, a long-range spin-pairing order can be identified which enables the separation of the space spanned by finite-range (covalent) valence-bond configurations into w+1 subspaces. Since…

Strongly Correlated Electrons · Physics 2015-06-25 M. A. Garcia-Bach

The $sp(2M)$ invariant unfolded system is considered in the periodic twistor-like spinor space. Complete set of non-trivial charges corresponding to the global symmetry compatible with the periodicity conditions is constructed. Residual…

High Energy Physics - Theory · Physics 2017-06-28 Y. O. Goncharov , M. A. Vasiliev

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

As a means of realizing oscillatory pairing between fermions, we study superfluid pairing between two fermion "spin" species that are confined to adjustable spin-dependent trapping potentials. Focusing on the one-dimensional limit, we find…

Quantum Gases · Physics 2011-03-18 Kuei Sun , Julia S. Meyer , Daniel E. Sheehy , Smitha Vishveshwara

We study the metastable behavior of the two-dimensional Ising model in the case of an alternate updating rule: parallel updating of spins on the even (odd) sublattice are permitted at even (odd) times. We show that although the dynamics is…

Statistical Mechanics · Physics 2011-10-28 Emilio N. M. Cirillo

We propose an optical lattice setup to investigate spin chains and ladders. Electric and magnetic fields allow us to vary at will the coupling constants, producing a variety of quantum phases including the Haldane phase, critical phases,…

Strongly Correlated Electrons · Physics 2007-05-23 J. J. Garcia-Ripoll , M. A. Martin-Delgado , J. I. Cirac

We consider a system of weakly interacting bosons confined on a planar double ring lattice subjected to two artificial gauge fields. We determine its ground state by solving coupled discrete non-linear Schr\"odinger equations at mean field…

Quantum Gases · Physics 2018-12-05 Nicolas Victorin , Frank Hekking , Anna Minguzzi

We study a set of exactly soluble spin models in one and two dimensions for any spin $S$. Its ground state, the excitation spectrum, quantum phase transition points, as well as dimensional crossover are determined.

Strongly Correlated Electrons · Physics 2007-05-23 H. Q. Lin , J. L. Shen , H. Y. Shik

We investigate the Fano-Anderson model coupled to a large ensemble of spins under the influence of an external magnetic field. The interaction between the two spin systems is treated within a meanfield-approach and we assume an anisotropic…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 A. Metelmann , T. Brandes

We investigate the dynamics of a two-dimensional array of oscillators with phase-shifted coupling. Each oscillator is allowed to interact with its neighbors within a finite radius. The system exhibits various patterns including squarelike…

Pattern Formation and Solitons · Physics 2007-06-13 Pan-Jun Kim , Tae-Wook Ko , Hawoong Jeong , Hie-Tae Moon

Nonlinear spin systems exhibit rich and exotic dynamical phenomena, offering promising applications ranging from spin masers and time crystals to precision measurement. Recent theoretical work [T. Wang et al., Commun. Phys. 8, 41 (2025)]…

Quantum Physics · Physics 2025-10-16 Xiaofan Wang , Haitao Lu , Hengyan Wang , Zhihuang Luo , Wenqiang Zheng

In this brief review, we introduce a new spin ladder system called skewed spin ladders and discuss the exotic quantum phases of this system. The spin ladders studied are the 5/7, 3/4 and 3/5 systems corresponding to alternately fused 5 and…

Strongly Correlated Electrons · Physics 2023-12-15 Sambunath Das , Dayasindhu Dey , Rajamani Raghunathan , Zoltán G. Soos , Manoranjan Kumar , S. Ramasesha

When an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at the switch. Here we describe two seemingly natural models of a switch in a simple…

Dynamical Systems · Mathematics 2022-12-28 Carles Bonet , Mike R. Jeffrey , Pau Martín , Josep M. Olm

We consider a spin-1/2 fermionic ladder with spin-orbit coupling and a perpendicular magnetic field, which shares important similarities with topological superconducting wires. We fully characterize the symmetry-protected topological phase…

Quantum Gases · Physics 2015-10-02 Leonardo Mazza , Monika Aidelsburger , Hong-Hao Tu , Nathan Goldman , Michele Burrello