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We investigate the entanglement properties of finite spin rings, with noncollinear Ising interaction between nearest neighbours. The orientations of the Ising axes are determined either by the spin position within the ring (model A) or by…

Quantum Physics · Physics 2015-05-20 F. Troiani

Ultra-cold alkali atoms trapped in two distinct hyperfine states in an external magnetic field can mimic magnetic systems of spin 1/2 particles. We describe the spin-dependent effective interaction as a spin-spin interaction. As a…

Statistical Mechanics · Physics 2011-11-09 D. H. Santamore , Eddy Timmermans

Asymmetric Ising model, in which coupled spins affect each other differently, plays an important role in diverse fields, from physics to biology to artificial intelligence. We show that coupled parametric oscillators provide a…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 C. Han , M. Wang , B. Zhang , M. I. Dykman , H. B. Chan

We propose a quantum algorithm for simulating spin models based on periodic modulation of transmon qubits. Using Floquet theory we derive an effective time-averaged Hamiltonian, which is of the general XYZ class, different from the…

Quantum Physics · Physics 2018-06-22 Oleksandr Kyriienko , Anders S. Sørensen

We find an exact mapping from the generalized Ising models with many-spin interactions to equivalent Boltzmann machines, i.e., the models with only two-spin interactions between physical and auxiliary binary variables accompanied by local…

Statistical Mechanics · Physics 2019-03-13 Nobuyuki Yoshioka , Yutaka Akagi , Hosho Katsura

A promising paradigm of quantum computing for achieving practical quantum advantages is quantum annealing or quantum approximate optimization algorithm, where the classical problems are encoded in Ising interactions. However, it is…

Quantum Physics · Physics 2025-06-25 Yao Lu , Wentao Chen , Shuaining Zhang , Kuan Zhang , Jialiang Zhang , Jing-Ning Zhang , Kihwan Kim

Quantum simulation has emerged as a powerful framework for investigating complex many - body phenomena. A key requirement for emulating these dynamics is the realization of fully controllable quantum systems enabling various spin…

The one-dimensional extended isotropic XY model (s=1/2) in a transverse field with uniform long-range interactions among the \textit{z} components of the spin is considered. The model is exactly solved by introducing the gaussian and…

Statistical Mechanics · Physics 2009-12-11 F. G. Ribeiro , J. P. de Lima , L. L. Goncalves

The time-evolution of an Ising model with large driving fields over discrete time intervals is shown to be reproduced by an effective XXZ-Heisenberg model at leading order in the inverse field strength. For specific orientations of the…

Quantum Physics · Physics 2023-10-24 Anthony N. Ciavarella , Stephan Caspar , Hersh Singh , Martin J. Savage , Pavel Lougovski

The field of quantum computing has grown fast in recent years, both in theoretical advancements and the practical construction of quantum computers. These computers were initially proposed, among other reasons, to efficiently simulate and…

Quantum Physics · Physics 2025-06-11 Marc Farreras , Alba Cervera-Lierta

Using cold bosonic atoms with two (hyperfine) ground states, we introduce a spin-boson mixture which allows to implement the quantum Ising model in a tunable dissipative environment. The first specie lies in a deep optical lattice with…

Other Condensed Matter · Physics 2009-11-13 Peter P. Orth , Ivan Stanic , Karyn Le Hur

We study the dynamics of entanglement in the one-dimensional spin-1/2 XY model in the presence of a transverse magnetic field. A pair of spins are considered as an open quantum system, while the rest of the chain plays the role of the…

Statistical Mechanics · Physics 2019-10-22 Z. Saghafi , Z. Shadman , E. Hosseini Lapasar , S. Mahdavifar

The paradigmatic spin-boson model considers a spin degree of freedom interacting with an environment typically constituted by a continuum of bosonic modes. This ubiquitous model is of relevance in a number of physical systems where, in…

Quantum Physics · Physics 2019-05-22 R. Puebla , G. Zicari , I. Arrazola , E. Solano , M. Paternostro , J. Casanova

We consider the transverse Ising model in one dimension with nearest-neighbour interaction and calculate exactly the longitudinal spin-spin correlation for a class of excited states. These states are known to play an important role in the…

Statistical Mechanics · Physics 2007-05-23 Anjan Kumar Chandra , Subinay Dasgupta

The one-dimensional XXZ model (s=1/2, N sites) with uniform long-range interactions among the transverse components of the spins is considered. The Hamiltonian of the model is explicitly given by…

Statistical Mechanics · Physics 2009-10-31 L. L. Goncalves , A. P. Vieira , L. P. S. Coutinho

While the usual goal in Monte Carlo (MC) simulations of Ising models is the efficient generation of spin configurations with Boltzmann probabilities, the inverse problem is to determine the coupling constants from a given set of spin…

Disordered Systems and Neural Networks · Physics 2017-05-24 Joseph Albert , Robert H. Swendsen

Trapped atomic ion qubits or effective spins are a powerful quantum platform for quantum computation and simulation, featuring densely connected and efficiently programmable interactions between the spins. While native interactions between…

Quantum Physics · Physics 2023-08-01 Or Katz , Marko Cetina , Christopher Monroe

A continuous, sinusoidal control field is used to suitably transform quantum spin chains. In particular, we are able to transform the quantum Ising chain to the quantum XY model, and the XY model to the XYZ spin chain. Our applied control…

Quantum Physics · Physics 2021-11-30 Hudaiba Soomro , Adam Zaman Chaudhry

Trapped atomic ion crystals are a leading platform for quantum simulations of spin systems, with programmable and long-range spin-spin interactions mediated by excitations of phonons in the crystal. We describe a complementary approach for…

Quantum Physics · Physics 2023-08-02 Or Katz , Christopher Monroe

The quantum compass model consists of a two-dimensional square spin lattice where the orientation of the spin-spin interactions depends on the spatial direction of the bonds. It has remarkable symmetry properties and the ground state shows…

Quantum Gases · Physics 2017-01-19 Samuel Fernandez-Lorenzo , Juan Jose Garcia-Ripoll , Diego Porras