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We determine the conditions under which general dimer-type spin chains with $XYZ$ couplings of arbitrary range in a general transverse field will exhibit an exactly separable parity-breaking eigenstate. We also provide sufficient conditions…

Quantum Physics · Physics 2010-08-27 Norma Canosa , Raul Rossignoli , Juan Mauricio Matera

Using the coupled cluster method (CCM) we study the full (zero-temperature) ground-state (GS) phase diagram of a spin-half ($s=1/2$) $J_{1}$-$J_{2}$ Heisenberg model on a cross-striped square lattice. Each site of the square lattice has 4…

Strongly Correlated Electrons · Physics 2014-01-10 R. F. Bishop , P. H. Y. Li , C. E. Campbell

We present an exact solution of an experimentally realizable and strongly interacting one-dimensional spin system which is a limiting case of a quantum Ising model with long range interaction in a transverse and longitudinal field.…

Strongly Correlated Electrons · Physics 2015-05-30 Igor Lesanovsky

We consider a system of mutually interacting spin 1/2 embedded in a transverse magnetic field which undergo a second order quantum phase transition. We analyze the entanglement properties and the spin squeezing of the ground state and show…

Strongly Correlated Electrons · Physics 2007-05-23 J. Vidal , G. Palacios , R. Mosseri

Out-of-equilibrium behavior is explored in the one-dimensional anisotropic $XY$ model. Initially preparing the system in the isotropic $XX$ model with a linearly varying magnetic field to create a domain-wall magnetization profile, dynamics…

Quantum Gases · Physics 2016-05-20 Jarrett L. Lancaster

A one-dimensional quantum spin model with the competing two-spin and three-spin interactions is investigated in the context of a tensor network algorithm based on the infinite matrix product state representation. The algorithm is an…

Statistical Mechanics · Physics 2015-05-28 Hong-Lei Wang , Yan-Wei Dai , Bing-Quan Hu , Huan-Qiang Zhou

Consider a generic quantum spin chain that can be mapped to free quadratic fermions via Jordan-Wigner (JW) transformation. In the presence of arbitrary boundary magnetic fields, this Hamiltonian is no longer a quadratic Hamiltonian after JW…

Strongly Correlated Electrons · Physics 2022-06-15 Arash Jafarizadeh , M. A. Rajabpour

Coplanar model states for applications of the coupled cluster method (CCM) to problems in quantum magnetism are those in which all spins lie in a plane, whereas three-dimensional (3D) model states are, by contrast, non-coplanar ones in…

Strongly Correlated Electrons · Physics 2019-07-02 D. J. J. Farnell , R. F. Bishop , J. Richter

The quantum discord, which quantifies the amount of quantum correlations present between parts of a system, is investigated for antiferromagnetic spin systems. The discord for a pair of spins in the many-spin ground state is related to the…

Quantum Physics · Physics 2014-05-08 Aritra Kundu , V. Subrahmanyam

Quantum discord is a more general measure of quantum correlations than entanglement and has been proposed as a resource in certain quantum information processing tasks. The computation of discord is mostly confined to two-qubit systems for…

Quantum Physics · Physics 2015-06-05 Indrani Bose , Amit Kumar Pal

The ferrimagnetic phase of the sawtooth chain with mixed ferromagnetic nearest-neighbour interactions $J$ and antiferromagnetic next-nearest-neighbour interactions $J'$ (within the isotropic Heisenberg model) was previously characterized as…

Strongly Correlated Electrons · Physics 2023-04-04 Roman Rausch , Matthias Peschke , Cassian Plorin , Jürgen Schnack , Christoph Karrasch

Critical phenomena involve a structural change in the correlations of its constituents. These features can be employed in quantum simulators to assess when a criticality occurred in medium-size systems, for which phase transitions are not…

Quantum Physics · Physics 2014-11-27 Adeline Orieux , Joelle Boutari , Marco Barbieri , Mauro Paternostro , Paolo Mataloni

Ground-state behaviour of the frustrated quantum spin-1/2 two-leg ladder with the Heisenberg intra-rung and Ising inter-rung interactions is examined in detail. The investigated model is transformed to the quantum Ising chain with composite…

Statistical Mechanics · Physics 2012-07-19 Taras Verkholyak , Jozef Strecka

We study the spin ordering of a quantum dot defined via magnetic barriers in an interacting quantum spin Hall edge. The spin-resolved density-density correlation functions are computed. We show that strong electron interactions induce a…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 G. Dolcetto , N. Traverso Ziani , M. Biggio , F. Cavaliere , M. Sassetti

We analyze the critical properties and the entanglement scaling at the quantum critical points of the spin-half XY model on the two-dimensional square-lattice bilayer and necklace lattice, based on quantum Monte Carlo simulations on finite…

Strongly Correlated Electrons · Physics 2015-10-12 Johannes Helmes , Stefan Wessel

The zero-temperature phase diagram of the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ model on an $AA$-stacked square-lattice bilayer is studied using the coupled cluster method implemented to very high orders. Both…

Strongly Correlated Electrons · Physics 2019-07-03 R. F. Bishop , P. H. Y. Li , O. Götze , J. Richter

Using the matrix product formalism, we define a multi-parameter family of spin models on one dimensional chains, with nearest and next-nearest neighbor anti-ferromagnetic interaction for which exact analytical expressions can be found for…

Strongly Correlated Electrons · Physics 2009-11-13 M. Asoudeh , V. Karimipour , A. Sadrolashrafi

We study Rokhsar-Kivelson (RK) dimer and spin ice models realizing $U(1)$-lattice gauge theories in a wide class of quasi-one-dimensional settings, which define a setup for the study of few quantum strings (closed electric field lines)…

Strongly Correlated Electrons · Physics 2026-02-12 Gurkirat Singh , Inti Sodemann

We investigate the ground state nature of the transverse field Ising model on the $J_1-J_2$ square lattice at the highly frustrated point $J_2/J_1=0.5$. At zero field, the model has an exponentially large degenerate classical ground state,…

Strongly Correlated Electrons · Physics 2017-02-10 M. Sadrzadeh , R. Haghshenas , S. S. Jahromi , A. Langari

The Hubbard model on a cube was revisited and extended by both nearest-neighbor (nn) Coulomb correlation and {nearest-neighbor} Heisenberg exchange. The complete eigensystem was computed exactly for all electron occupancies and all model…

Strongly Correlated Electrons · Physics 2015-05-13 Rolf Schumann , David Zwicker