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Simple models of interacting spins play an important role in physics. They capture the properties of many magnetic materials, but also extend to other systems, such as bosons and fermions in a lattice, systems with gauge fields, high-Tc…

An important step towards a comprehensive understanding of far-from-equilibrium dynamics of quantum many-body systems is the identification of unifying features that are independent of microscopic details of the system. We experimentally…

We present a systematic study of the anisotropic spin-1/2 Heisenberg model in staggered magnetic fields in two dimensions (2D). To mimic real materials, we consider a system of coupled, antiferromagnetic chains, whose interchain interaction…

Statistical Mechanics · Physics 2011-10-17 Bin Xi , Shijie Hu , Jize Zhao , Gang Su , B. Normand , Xiaoqun Wang

We derive a quantum spin Hamiltonian of the spin-1/2 zigzag chain realized in a rare earth ytterbium-based magnetic insulator, YbCuS2. This material undergoes a transition at 0.95K to an incommensurate magnetic phase with small moments,…

Strongly Correlated Electrons · Physics 2024-08-02 Hidehiro Saito , Hiroki Nakai , Chisa Hotta

We have developed a method to simulate quantum spin models with the Dzyaloshinskii-Moriya interaction (DMI) using Rydberg atom quantum simulators. Our approach involves a two-photon Raman transition and a transformation to the spin-rotating…

Quantum Gases · Physics 2024-12-02 Masaya Kunimi , Takafumi Tomita , Hosho Katsura , Yusuke Kato

Quantum simulators are controllable quantum systems that can reproduce the dynamics of the system of interest, which are unfeasible for classical computers. Recent developments in quantum technology enable the precise control of individual…

Quantum Physics · Physics 2015-05-19 Xiao-song Ma , Borivoje Dakic , William Naylor , Anton Zeilinger , Philip Walther

We diagonalize the quantum two-dimensional spin-1/2 Heisenberg model with Dzyaloshinskii-Moriya interaction (DMI) by applying the variational quantum eigensolver, running on a quantum-computer simulator, which turns out to be a more…

Quantum Physics · Physics 2025-05-27 Matej Komelj , Vinko Sršan , Kristina Žužek , Sašo Šturm

We show that the operators and the quadrupole and Zeeman Hamiltonians for a spin (3/2) can be represented in terms for a system of two coupling fictitious spins (1/2) using the Kronecker product of Pauli matrices. Particularly, the…

Quantum Physics · Physics 2017-07-11 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky

We propose a hybrid quantum-classical method to investigate the equilibrium physics and the dynamics of strongly correlated fermionic models with spin-based quantum processors. Our proposal avoids the usual pitfalls of fermion-to-spin…

Quantum Physics · Physics 2024-06-21 Antoine Michel , Loïc Henriet , Christophe Domain , Antoine Browaeys , Thomas Ayral

We show that indirect spin-spin interactions between effective spin-1/2 systems can be realized in two parallel 1D optical lattices loaded with polar molecules and/or Rydberg atoms. The effective spin can be encoded into low-energy…

Thermodynamic properties of the mixed spin-3/2 and spin-1/2 Heisenberg model are examined within the Oguchi approximation in the presence of a random crystal-field (RCF). The RCF is either introduced with probability p or turned off with…

Soft Condensed Matter · Physics 2021-03-30 D. Sabi Takou , M. Karimou , F. Hontinfinde , E. Albayrak

Arrays of Rydberg atoms interacting via dipole-dipole interactions offer a powerful platform for probing quantum many-body physics. However, these intrinsic interactions also determine and constrain the models -- and parameter regimes…

Quantum Gases · Physics 2025-12-16 Mingsheng Tian , Rhine Samajdar , Bryce Gadway

We show how strongly correlated ultracold bosonic atoms loaded in specific orbital angular momentum states of arrays of cylindrically symmetric potentials can realize a variety of spin-1/2 models of quantum magnetism. We consider explicitly…

Quantum Physics · Physics 2019-08-21 G. Pelegrí , J. Mompart , V. Ahufinger , A. J. Daley

The stability of the ferromagnetic phase of the 2D quantum spin-1/2 model with nearest-neighbor ferro- and next-nearest neighbor antiferromagnetic interactions is studied. It turns out that values of exchange integrals at which the…

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

Large quantum simulators, with sufficiently many qubits to be impossible to simulate classically, become hard to experimentally validate. We propose two tests of a quantum simulator with Heisenberg interaction in a linear chain of spins. In…

Quantum Physics · Physics 2017-12-15 Yiping Wang , Minh Cong Tran , Jacob M. Taylor

It is possible to simulate the dynamics of a single spin-$1/2$ ($\mathsf{PT~}$ symmetric) system by conveniently embedding it into a subspace of a larger Hilbert space with unitary dynamics. Our goal is to formulate a many body…

Quantum Physics · Physics 2021-08-04 Anant V. Varma , Sourin Das

We consider a quantum simulator of the Heisenberg chain with ferromagnetic interactions based on the two-component 1D Bose-Hubbard model at filling equal to two in the strong coupling regime. The entanglement properties of the ground state…

Quantum Gases · Physics 2019-07-03 Ivan Morera , Artur Polls , Bruno Juliá-Díaz

The one dimensional (1D) spin-1/2 Heisenberg-Ising model, a prototype quantum many-body system, has been intensively studied for many years. In this review, after a short introduction on some basic concepts of group theory for the…

Strongly Correlated Electrons · Physics 2023-01-18 Jiahao Yang , Xiao Wang , Jianda Wu

We study the 1-d isotropic Heisenberg model of two spin-1/2 systems as a quantum heat engine. The engine undergoes a four-step Otto cycle where the two adiabatic branches involve changing the external magnetic field at a fixed value of the…

Quantum Physics · Physics 2015-05-20 George Thomas , Ramandeep S. Johal

The exact solution of Kitaev's spin-$1/2$ honeycomb spin-liquid model has sparked an intense search for Mott insulators hosting bond-dependent Kitaev interactions, of which $\mathrm{Na}_{2}\mathrm{IrO}_{3}$ and $\alpha-\mathrm{RuCl}_{3}$…

Strongly Correlated Electrons · Physics 2020-11-04 Pedro M. Cônsoli , Lukas Janssen , Matthias Vojta , Eric C. Andrade