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Using a similarity Hamiltonian renormalization procedure, we determine an effective spin-1/2 representation of the Bose-Hubbard model at half-integer filling and at a finite on-site interaction energy U. By means of bosonization, we are…

Strongly Correlated Electrons · Physics 2013-01-08 Domenico Giuliano , Davide Rossini , Pasquale Sodano , Andrea Trombettoni

We presents the results of an extensive numerical study of the phase diagram of the spin-1/2, \protect{$J_1$-$J_2$-$J_3$} Heisenberg model on a square lattice, for both ferromagnetic and antiferromagnetic nearest-neighbor interactions…

Strongly Correlated Electrons · Physics 2015-05-13 Philippe Sindzingre , Nic Shannon , Tsutomu Momoi

We performed a finite-temperature quantum Monte Carlo simulation of the one-dimensional spin-1/2 Heisenberg model with nearest-neighbor interaction coupled to Einstein phonons. Our method allows to treat easily up to 100 phonons per site…

Condensed Matter · Physics 2007-05-23 Rainer W. Kühne , Ute Löw

Using group-theoretical approach we found a family of four nine-parameter quantum states for the two-spin-1/2 Heisenberg system in an external magnetic field and with multiple components of Dzyaloshinsky-Moriya (DM) and…

Quantum Physics · Physics 2021-05-13 A. V. Fedorova , M. A. Yurischev

We consider the spin-1/2 antiferromagnetic Heisenberg model on the two-dimensional square-kagome lattice with almost dispersionless lowest magnon band. For a general exchange coupling geometry we elaborate low-energy effective Hamiltonians…

Strongly Correlated Electrons · Physics 2014-09-08 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

We study the zero-temperature phase diagram of the $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ Heisenberg model for spin-1 particles on an infinite square lattice interacting via nearest-neighbour ($J_1 \equiv 1$) and next-nearest-neighbour ($J_2 > 0$)…

Strongly Correlated Electrons · Physics 2010-05-07 R F Bishop , P H Y Li , R Darradi , J Richter , C E Campbell

The numerical simulation of quantum many-body dynamics is typically limited by the linear growth of entanglement with time. Recently numerical studies have shown, however, that for 1D Bethe-integrable models the simulation of local…

Quantum Physics · Physics 2011-04-21 Dominik Muth , Razmik G. Unanyan , Michael Fleischhauer

The ability to manipulate single atoms has opened up the door to constructing interesting and useful quantum structures from the ground up. On the one hand, nanoscale arrangements of magnetic atoms are at the heart of future quantum…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 R. Toskovic , R. van den Berg , A. Spinelli , I. S. Eliens , B. van den Toorn , B. Bryant , J. -S. Caux , A. F. Otte

Disordered quantum antiferromagnets in two-dimensional compounds have been a focus of interest in the last years due to their exotic properties. However, with very few exceptions, the ground states of the corresponding Hamiltonians are…

Quantum Gases · Physics 2017-06-07 A. Yuste , M. Moreno-Cardoner , A. Sanpera

We study quantum correlations in a bipartite heteronuclear $(N-1)\times1$ system in an external magnetic field. The system consists of a spin ring with an arbitrary number $N-1$ of spins on the ring and one spin in its center. The spins on…

Quantum Physics · Physics 2015-08-26 S. I. Doronin , E. B. Fel'dman , E. I. Kuznetsova

Using exact diagonalization techniques we study the dynamical response of the anisotropic disordered Heisenberg model for systems of S=1/2 spins with infinite range random exchange interactions at temperature T=0. The model can be…

Disordered Systems and Neural Networks · Physics 2007-05-23 Liliana Arrachea , Marcelo J. Rozenberg

We propose and validate a framework for analog simulation of the Heisenberg spin model using a circuit quantum electrodynamics (circuit-QED) platform. Our method involves the Dyson-Maleev transformation, for which we develop a procedure to…

We consider the effective dynamics obtained by double-passing a far-detuned laser probe through a large atomic spin system. The net result of the atom-field interaction is a type of coherent positive feedback that amplifies the values of…

Quantum Physics · Physics 2009-05-08 Bradley A. Chase , JM Geremia

Spin squeezing protocols successfully generate entangled many-body quantum states, the key pillars of the second quantum revolution. In our recent work [Phys. Rev. Lett. 129, 090403 (2022)] we showed that spin squeezing described by the…

In the present work, initially a mixed-three-spin (1/2,1,1/2) cell of a mixed-N-spin chain with Ising-XY model is introduced, for which pair spins (1,1/2) have Ising-type interaction and pair spins (1/2,1/2) have both XY-type and…

Statistical Mechanics · Physics 2018-03-15 Hamid Arian Zad , Hossein Movahhedian

The \textit{Spirit} framework is designed for atomic scale spin simulations of magnetic systems of arbitrary geometry and magnetic structure, providing a graphical user interface with powerful visualizations and an easy to use scripting…

The spin-1/2 Hamiltonian for two coupled isosceles Heisenberg triangles, which is well suited for describing the V$_6$-type magnetic molecules, is studied by exact diagonalization. The quantum phase transition diagram, at zero temperature,…

Statistical Mechanics · Physics 2020-12-30 J. Torrico , J. A. Plascak

Quantum simulation of interacting many-body spin systems is routinely performed with cold trapped ions, and systems with hundreds of spins have been studied in one and two dimensions. In the most common realizations of these platforms, spin…

Quantum Physics · Physics 2026-01-06 Wilson S. Martins , Markus Hennrich , Ferdinand Schmidt-Kaler , Igor Lesanovsky

Magnetization of a spin1/2 set is determined by means of their individual wave function. The theoretical treatment based on the fundamental axioms of quantum mechanics and solving explicitly Schr\"odinger equation gives the evolution of…

Quantum Physics · Physics 2023-08-22 Tarek Khalil , Daniel Grucker

We study the ground state properties of the Heisenberg spin-1/2 chain with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions using two approximate methods. One of them is the Jordan-Wigner mean-field…

Strongly Correlated Electrons · Physics 2009-11-11 D. V. Dmitriev , V. Ya. Krivnov
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