Heisenberg model simulation. Mar 14, 2016 · Abstract. Overview. Each model comprises of a spin chain, or a 1d lattice, of N sites, with each site occupied by a particle with a nite state space of dimension d. Villegas Rosales, 2021 @ Princeton University. Model and method. Rakića,∗, Slobodan Radoševićb , Petar Malib , Lazar Stričevića a Facultyof Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia b Department of Physics, Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Serbia arXiv:1305. The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic systems are treated quantum mechanically. Jan 1, 2016 · Multipath Metropolis simulation of classical Heisenberg model has been proposed in Physica A 441, 69 (2016). The latter case has been investigated extensively by Monte Carlo simulation of corresponding Ising models. The reason that these models have triggered great theoretical interest is twofold. stat-mech] 13 Feb 2014 b Department of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia of Physics, Faculty of Science, University of Novi simulation, such as Rydberg atoms, trapped ions and super-conducting qubits, can be natively described by this Hamil-tonian [112–120]. Both models show a second order phase transition which is the main reason we are interested in these models. Sep 10, 2019 · New applications include the simulation, in the thermodynamic limit, of open (i. G. This simulation approach produces uncorrelated results with Oct 23, 2015 · We study the simulation of spin models with polar molecules in a dipolar crystal. Similarly, the Kitaev honeycomb model emerges from classical interactions which enforce loop states on the honeycomb lattice. May 31, 2018 · We study the spin-1 Heisenberg model on the square lattice with the antiferromagnetic nearest-neighbor J1 and the next-nearest-neighbor J2 couplings by using the infinite projected entangled-pair state (iPEPS) ansatz and density matrix renormalization group (DMRG) calculation. These approximate equivalences, valid above a critical driving field strength set by dynamical phase transitions in the Ising model, are expected to enable quantum devices that natively evolve qubits according to the Ising model to simulate Abstract. As an alternative, here we develop data-driven models for the five most common crystal types, considering the isotropic and anisotropic exchange of up to four nearest neighbors and the single-ion anisotropy. Feb 1, 2022 · We present ESpinS (Esfahan Spin Simulation) package to evaluate the thermodynamic properties of spin systems described by a spin model Hamiltonian. In the Heisenberg model, we imagine a spin chain of Nspin-half particles (d= 2). Matthew Enjalran Department of Physics. systems, including the AKLT-model, which is an extension of the Heisenberg model. X 11, 041025 – Published 4 November 2021. Physical Review Link Manager quantum simulation if an exact circuit is found for those non trivial models, such as Heisenberg model, which have an ansatz to be solved. Abstract. Rakića,∗, Slobodan M. We show that thanks to a dynamical mapping from a hexagonal to a rhombic lattice Mar 17, 2021 · View a PDF of the paper titled Tensor network simulation for the frustrated $J_1$-$J_2$ Ising model on the square lattice, by Hong Li and Li-Ping Yang Sep 22, 2020 · Info: The hard-core boson mapping might be viewed as a possibly useful way of rewriting spin-1/2 models in a rather general setting. T* = k B T/∊), and x j denotes dimensionless coordinates of the lattice sites. It will build an executable named "main. The reduced dynamics of the polar molecules lead to frustrated Heisenberg models with tuneable long-range interactions, via spin-dependent This simulation approach produces uncorrelated results with known precision. We show that, owing to a dynamical mapping from a hexagonal to a Nov 7, 2019 · Recent realizations of intrinsic, long-range magnetic orders in two-dimensional (2D) van der Waals materials have ignited tremendous research interest. 2015). The fea- Dec 2, 2023 · Low-dimensional magnetic materials have attracted the attention of several researchers in recent decades, mainly because of the exotic magnetic properties and superconductivity of some of these materials. One of these materials is KTb(WO $$_4$$ 4 ) $$_2$$ 2 , generally considered a prototype of the 2D Ising model. This is used to develop an analogue quantum simulation technique, called the adiabatic spiral, to adiabatically prepare the ground state of the Heisenberg model by adiabatically varying the direction of the external field in the Ising model. Studying the dynamics of such an idealized system provides us with a deeper understanding of magnetism. "run_number" is just a dummy integer to distinguish between Physical Review Link Manager Feb 21, 2024 · Quantum simulation of spin models has established a powerful tool for unraveling exotic many-body phases and dynamics [1–7]. Mukhopadhyay, C. Sep 1, 2021 · (1) Both Heisenberg model and Ising model can be simulated. -K. C. Vandersypen. a Real and b imaginary part of C z z ( t 1 , t 2 Jan 1, 2016 · Abstract. seems to be similar to the situation in the kagome model and deserves more studies. 6758v2 [cond Jun 13, 2014 · Model and simulation. Magnetic phases naturally arise in the Mott-insulator regime of the Fermi-Hubbard model, where charges are localized and the spin degree of freedom remains. (3) Curie temperature simulation and Hysteresis loop simulation can be realized. : (a) Scheme of a Trotter step of a purely digital quantum simulation for a generic spin dynamics with five sites. Quantum simulation of Heisenberg spin chains with next May 1, 1986 · Quantum Monte Carlo Simulation of Antiferromagnetic Heisenberg Model on the Triangular Lattice Kazuhiro Sano. 2. (2) Neighbor relationship is determined by periodic coordinate information file like POSCAR of VASP input files, thus both periodic and finite cluster systems can be simulated. But I obtain some strange results. states of the Ising model with a strong external field pointed in an appropriate direction. In For specific orientations of the drive field, the dynamics of the XXX-Heisenberg model is reproduced. This is important since processor cores The source for this paper is being processed by a script which uncompresses it, unpacks it, determines the source type (e. 2a and 4 are the same. It is related to the prototypical Ising model, where at each site Cannot retrieve latest commit at this time. In order to study the crossover from coherent rotation to nucleation we use a specially adjusted update algorithm for the Monte Carlo simulation of a classical three-dimensional Heisenberg model with a finite uniaxial anisotropy. We defined a projected mag-netization on the state A, M A (t), at dimensional classical models and (d+ 1)-dimensional quantum ones, with D= d+ 1 [21–23]. g. Author. Jun 13, 2014 · Model and simulation. Note that one character of frustration is a high degeneracy of ground states and plenty of metastable for several reasons. 4. ###Author: Michael Conroy. Czarnik et al. The transition in our case describes the loss of magnetization of a ferromagnet as it is heated Jan 17, 2012 · Heisenberg-type models have been one of the central research topics in condensed matter physics during the last two decades. Specifically, the spin-1/2 Heisenberg model on the Apr 8, 2020 · This is then used to perform a Heisenberg model-based classical MC simulation using a semi-compiled dynamic-translation based module, from which the T C of the material can be obtained. Unlike previous approaches, this method of analog simulation of the Heisenberg model can be imple-mented with a time-independent Hamiltonian which could be beneficial for some platforms. The ST-Transformation Approach to Analytic Solutions of Quantum Systems. This potential model is known rigorously to possess an ordering transition at finite temperature, and has been characterized quantitatively by Monte Carlo simulation, whose results suggest a continuous transition taking place at Heisenberg Models. In this work, we employ the XXZ Heisenberg model and Monte Carlo simulations to study a fundamental property of these emerging 2D magnetic materials, the Curie temperature (${T}_{c}$). ###Professor: Dr. txt" specifies the input parameters for the simulation. Dec 17, 2020 · Here we realize the Heisenberg model describing spins on a lattice, with fully adjustable anisotropy of the nearest-neighbour spin–spin couplings (called the XXZ model). While for the XY model (spins in S1) it is advantageous to use polar coordinates, it is unclear and possibly system dependent if in the 3D spin case the added complexity and FLOP introduced by spherichal coordinates, justi es the memory savings. Stričevića , Tara D. 1 The Heisenberg model of magnetism The Heisenberg model occupies a somewhat uncomfortable position in solid state and mathe-matical physics. T. The Classical Heisenberg model, developed by Werner Heisenberg, is the case of the n-vector model, one of the models used in statistical physics to model ferromagnetism, and other phenomena. Quantum-mechanical correlations of interacting fermions result in the emergence of exotic phases. These results reveal new fi ≤ α fi critical behaviors in 2D long-range Heisenberg models, encouraging further experimental studies of quantum materials with long-range interactions beyond the Dec 9, 2022 · Monte Carlo (MC) simulation of the classical Heisenberg model has become the de facto tool to estimate the Curie temperature (T C) of two-dimensional (2D) magnets. . Malib , Lazar M. Reichl, W. Jan 27, 2023 · This leads to striking correspondences, such as the spin-1/2 XY and Heisenberg models arising from the large-field limit of 3-state and 4-state Potts models, respectively. More. Rev. Spring 2014. Apr 6, 2023 · This is used to develop an analogue quantum simulation technique, called the adiabatic spiral, to adiabatically prepare the ground state of the Heisenberg model by adiabatically varying the direction of the external field in the Ising model. Where possible, the output will contain hyperlinks made possible by HyperTeX tools. 3 (1988) pp. In the second part, we show how a pretrained conditional generative model can be used to generate samples corresponding to a ground state of a Sep 1, 1999 · The latter case has been investigated extensively by Monte Carlo simulation of corresponding Ising models. " GitHub is where people build software. In fact, there is clearly a phase transition and a magnetized phase for low temperatures. It is possible to add also antisymmetric DMI interactions to simulate other type of systems. Petrića a Faculty arXiv:1305. Hsiao, U. Then, the magnetic properties of DP Sr2CoFeO6 have been investigated. In this model we study Mar 18, 2020 · The Hubbard model Hamiltonian has only two terms 1,2,3, a kinetic lattice hopping term (t) and an on-site Coulomb repulsion interaction term (U). Also, it can be easily generalized to We study the thermodynamics of classical Heisenberg model using the multipath approach to Metropolis algorithm Monte Carlo simulation. 5 V/nm, a colossal enhancement of ∼6700% from Feb 1, 2023 · The quantum simulation of the Heisenberg spin models has been performed using a two transmon-qubit circuit quantum electrodynamics (Salathé et al. PHY 471 Capstone Project. In addition to the Heisenberg exchange term, the spin Hamiltonian in ESpinS can contain interactions such as bi-quadratic, Dzyaloshinskii–Moriya, and single-ion anisotropy. Unlike the standard single-path algorithm, the Metropolis algorithm applied to multiple random-walk paths becomes an embarrassingly parallel algorithm in which many processor cores can be easily utilized. For specific orientations of the drive field, the dynamics of the XXX-Heisenberg model is reproduced. 2011) and it arises from spin-orbit coupling (Moriya 1960). This is achieved using a hybrid quantum-classical algorithm that propagates a state using Trotter evolution and then performs a classical optimization that effectively compresses the time-evolved state into a variational form. T aylor 1, 2, 4 1 Joint Center for Quantum Information and Computer Science, the simulation of the spin models with polar molecules has attracted broad interests over the past decade. Nov 4, 2021 · Quantum Simulation of Antiferromagnetic Heisenberg Chain with Gate-Defined Quantum Dots. exe <input_file_name> <run_number> <random_seed> The input file named "input. More than 100 million people use GitHub to discover, fork, and contribute to over 420 million projects. In the recent pa-per [7] multipath Metropolis simulation of O(3) classi-cal Heisenberg model is introduced. 79 No. The notebook Tutorial-2D-Heisenberg. #A Monte Carlo Study of the Classical, Isotropic, 3D Heisenberg Model ##Numerical Studies of Stochastic Spin Systems. 27–34 Mu¨ller described in his thesis the details of how to realize the spin-1/2 XXZ model as well as t-J model with ultra-cold polar molecules trappedinanopticallattice. Quantum simulation. When TB2J is a open source python package for calculating the magnetic interaction parameters in Heisenberg models from DFT. II Makoto Inoue and Masuo Suzuki. A simple implementation of a Monte Carlo simulation of the classical Heisenberg model on a 2D or 3D lattice. Progress of Theoretical Physics Supplement No. the Heisenberg model, and discuss physical approaches to solving the Heisenberg model in Section 2. Out- Mar 5, 2023 · 2. ipynb first introduces the 2D random Heisenberg model, and shows how correlations and entanglement entropies of its ground states can be calculated. exe". -W. , Phys. Wegscheider, and L. 87 (1986) pp With over 7 years of simulation consulting experience, deep technical expertise and a solid scientific and mathematical foundation, Heisenberg Analytics can support your study every step of the way. Classical Heisenberg model is fre-quently used in Monte Carlo simulations of nonlinear sigma models [1], and also for modeling real com-pounds [2–4] and other systems [5, 6]. First of all, Heisenberg-type models are relevant to real materi-als. Aug 30, 2022 · With this perspective, we consider Monte Carlo (MC) simulation of the Heisenberg model, a popular approach to calculating thermodynamic properties by probabilistically sampling the spin Feb 20, 2011 · A quantum simulator capable of preparing such arbitrary superpositions of dimer-covering states is thus sufficient for simulating any Heisenberg-type interactions of four spin-1/2 particles on a Quantum Heisenberg model. In contrast to the original single–path algorithm, multipath simulation approach is inherently parallel because it uses different random–walk paths that are mutually independent. We show that such systems can be used to simulate spin chains described by Heisenberg Hamiltonians in which the exchange coupling constants can be manipulated by time Multipath Metropolis Simulation of Classical Heisenberg Model Predrag S. The TB2J project is initialized in the PhyTheMa and Nanomat teams in the University of Liege. J. e. In particular, for one-dimensional spin chains, the Bethe ansatz [20] is the most successful method and several proposals exist to simulate and ex-tend it to two-dimensions using tensor network techniques [21]. Nov 3, 2016 · 4. This is opposed to Mermin Wagner theorem. In contrast to the original single–path algorithm, multipath simulation approach is Simulation ofTime-dependent Heisenberg Models in1D A. Whether you would like us to build your model, get you started in doing it yourself, or any point in between – we’d love to lend a hand. Experimentally, the DM interaction can be realized by a system of qubit-spin pyrochlores \(R_{2}V_{2}O_{7}\) (Xiang et al. In this paper, we provide a theoretical analysis of strongly interacting quantum systems confined by a time-dependent external potential in one spatial dimension. Monte Carlo simulation. Moreover, crystal field and magnetic field Jan 1, 2005 · Here we performed Monte Carlo (MC) simulation of the ± J Heisenberg model. Zinner1 1Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark 2Institut fu¨r Kernphysik, Technische Universita¨t Darmstadt, 64289 Darmstadt, Germany Mar 15, 2021 · Quantum simulation of antiferromagnetic Heisenberg chain with gate-defined quantum dots. The iPEPS simulation, which studies the model directly in the thermodynamic limit, finds a crossing of the ground Oct 24, 2017 · Though the Heisenberg model was successful in describing the magnetism of several systems like KCuF 3, Ashhab, S. 27 Gorshkov et al. The time-dependent external magnetic field, set to a sinusoidal function of a tunable frequency by default, can also be customized by the user, allowing for greater Classical Heisenberg model. Jan 10, 2020 · Fig. PDF HTML Export Citation. Phys. Since multipath ap- Dec 14, 2017 · Quantum simula tion of ferromagnetic Heisenberg model Yiping W ang, 1, 2, 3 Minh Cong T ran, 1, 2 and Jacob M. The Hubbard model on a triangular lattice is Dec 4, 2020 · Note that the latter method is equivalent to the Monte Carlo simulation based on the Heisenberg model, that is, the blue lines in Figs. It use the magnetic force theorem and take the local rigid spin rotation as a perturbation in the Green's function method. Kevin A. We demonstrate the power of this approach by extracting critical exponents from the leading Lee-Yang zeros of 2D quantum antiferromagnets with a complex staggered field, focusing on the Heisenberg bilayer and square-lattice J-Q models. , master equation) dynamics and thermal states in 1D quantum systems, as well as calculations with partition If you have GNU C++ compiler installed, then you can simply run the makefile by typing "make". Continuum limit equations of motion exhibit two types of static vortex solutions, with and without out-of-plane Here ∊ is a positive constant setting energy and temperature scales (i. in d = 3 starting with an individual Parisi state A. Kawabata et al. Jul 1, 2019 · 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. For instance, if you have a Heisenberg model for spin-1/2 sitting on a lattice, whose sites are denoted by x and with nearest-neighbour pairs denoted by hx; x0i we could write, de ning ^n = ^ by The Heisenberg model can be seen as a generalization of the Ising model, where a more realistic model of classical magnetization is represented by the Hamiltonian Nov 14, 2022 · Monte Carlo (MC) simulation of the classical Heisenberg model has become the de facto tool to estimate the Curie temperature ( T C) of two-dimensional (2D) magnets. 6758v3 [cond-mat. Multipath Metropolis Simulation of Classical Heisenberg Model Predrag S. Properties of vortices and dynamic correlation functions have been studied for the two-dimensional classical ferromagnetic Heisenberg model with easy-plane anisotropy, as a function of the anisotropy parameter λ = J z /J x. Those chains realize a paradigmatic idealized model to describe spin physics: the Heisenberg model. In the triangular Kitaev–Heisenberg model, the exotic Kitaev interaction brings an unconventional frustration into the triangular structure with the conventional geometric frustration, forming a mixed frustrated system. In this article, we study the spin-1=2 J 1 J 2 Heisenberg model on the triangular lattice with additional time-reversal symmetry (TRS) breaking chiral interaction J Quantum simulation of the Heisenberg model. Besides, the quantum phase transition between the two spin liquid phases is also far from clear. These approximate equivalences, valid above a critical driving field strength set by May 1, 1989 · Computer simulation study of a classical Heisenberg model in two dimensions with long-range ferromagnetic interactions isotropic in spin space Oct 31, 2019 · We investigate the Kitaev-Heisenberg (KH) model at finite temperature using the exact environment full update (eeFU) [introduced by P. Volosniev,1,2 H. Aug 12, 2015 · To associate your repository with the heisenberg-model topic, visit your repo's landing page and select "manage topics. van Diepen, T. Progress of Theoretical Physics Vol. When we study the two-dimensional isotropic Heisenberg Model using Mean Field Theory or by Monte Carlo simulation we observe a phase transition at a temperature not equal to zero. By including both on-site and neighbor couplings extracted Dec 17, 2021 · Here, we study the dynamics of this wavelike spin pattern and report the discovery of new spin relaxation behaviors in chains of ultracold atoms. However, KTb(WO $$_4$$ 4 ) $$_2$$ 2 has some peculiarities in its magnetization Semantic Scholar extracted view of "Monte Carlo simulation of the two-dimensional classical Heisenberg model with easy-plane anisotropy" by C. The inclusion Sep 24, 2013 · W e study the thermodynamics of classical Heisenberg model using the multipath approach to Metropolis algorithm. & Nori, F. TeX/LaTeX 2e/PDFLaTeX ), then runs the appropriate programs. 645–664. (a)Implement a MC simulation of the Heisemberg model with a Metropolis algorithm. (b) Trotter Dec 23, 2021 · We demonstrate a post-quench dynamics simulation of a Heisenberg model on present-day IBM quantum hardware that extends beyond the coherence time of the device. We present an ansatz capable of preparing the ground states for all possible values of the coupling, including the critical states for the anisotropic XXZ model. As an alternative, here we develop data-driven models for the five most common crystal types, considering the isotropic and anisotropic exchange of up to four nearest neighbors and Jan 11, 2005 · As an example of the effectiveness of these two approaches, results from numerical solutions of all sets of Bethe ansatz equations, for small Heisenberg chains, and Monte Carlo simulations in I have performed a Monte Carlo simulation of the classical Heisenberg model for a simple 2D square lattice. The Heisenberg anti-ferromagnetic (HAF) model on a square lattice is studied in this paper, and the Hamiltonian is defined as: (1) H = ∑ 〈 i, j 〉 J i j S i ⋅ S j, where S i is the spin operator at the site i, J i j > 0 is the anti-ferromagnetic exchange coupling between two sites i, j and 〈 ⋅ 〉 indicates the Jun 16, 2022 · We present and analyze large-scale simulation results of a hybrid quantum-classical variational method to calculate the ground state energy of the anti-ferromagnetic Heisenberg model. Easy to state and widely applicable, it is also extremely difficult to analyze. Using a massively parallel universal quantum computer simulator, we observe that a low-depth-circuit ansatz advantageously exploits the efficiently preparable Néel initial state, avoids potential barren plateaus Nov 15, 2022 · Monte-Carlo simulation based on the Heisenberg spin-chain predicted the Curie temperature (Tc) to be about 340 K under the application of an Ez=2. Reviews of Modern Physics 86, 153 (2014). Radoševićb , Petar M. The classical two-dimensional Heisenberg model should then share properties with the quantum field theory known as theO(3) non-linear sigma model [21–23], with a bare coupling directly proportional to the classical temperature (see Section 2 for more Jan 1, 2016 · Multipath Metropolis simulation of classical Heisenberg model has been proposed in Physica A 441, 69 (2016). For a few Jan 5, 2018 · Based on the Heisenberg representation, a compact data structure for quantum circuit simulation named stabilizer frames was proposed by Garcia in [7, 8]. Jun 1, 2021 · MISTIQS can perform quantum dynamics simulations for any variant of the time-dependent Heisenberg model, including the important XX chain model, XXZ chain model, and TFIM [22]. Dec 30, 2016 · The Heisenberg-Kitaev model is a paradigmatic model to describe the magnetism in honeycomb-lattice Mott insulators with strong spin-orbit coupling, such as A 2 IrO 3 (A = Na, Li) and α − RuCl 3. The program use Numpy for the linear algebra and Numba jit compiler to accelerate the simulation. B 99, 035115 (2019)], which represents purification of a thermal density matrix on an infinite hexagonal lattice by an infinite projected entangled pair state (iPEPS). 2: Comparison between the time-dependent Shrödinger equation calculation (TDSE) and the Simple Man Model in the Heisenberg picture. M. The Jan 18, 2022 · In this work, magnetic properties of double perovskite (DP) Sr2CoFeO6 have been studied using Monte Carlo simulations (MCS) in the framework of the Heisenberg model. See synopsis: Using Quantum Dots to Simulate Magnetism. /main. Aug 23, 2023 · We assess the efficacy and scalability of VQE by preparing the ground states of the 1D generalized Heisenberg model, a pivotal model in understanding magnetic materials. We employ a master equation approach to describe the dynamics of the system and to research the dissipation of the model. Note that one character of frustration is a high degeneracy of ground states and plenty of metastable Oct 14, 2023 · These results reveal new critical behaviors in 2D long-range Heisenberg models, encouraging further experimental studies of quantum materials with long-range interactions beyond the Mermin-Wagner Jul 19, 2022 · 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. The ground state of the phase diagrams depending on the exchange couplings and the crystal fields has been studied. Interestingly this ordering happens only in z direction. Apr 25, 2023 · Download Citation | Spectral function of the J 1 − J 2 Heisenberg model on the triangular lattice | Spectral probes, such as neutron scattering, are crucial for characterizing excitations in Download scientific diagram | Digitization of the Heisenberg model. Here, we study in detail the physics of the Heisenberg-Kitaev model in an external magnetic field. Southern CT State University. Since the work in this paper is based on the stabilizer frames data structure, this section describes the basic concept and related algorithms of the Heisenberg model presented in [7, 8]. B 99, 035115 (2019), which represents the purification of a thermal density matrix on an infinite hexagonal lattice by an infinite projected entangled pair state (iPEPS). In order to study the crossover from coherent rotation to nucleation we use a specially adjusted update algorithm for the Monte Carlo simulation of a classical three-dimensional Heisenberg model with a finite uniaxial anisotropy. This study explores the Multipath Metropolis simulation of the classical Heisenberg model. Hammer,2,3 and N. K. The output can be viewed through a Jupyter Jan 7, 2014 · In analogy to the J 1 − J 2 Heisenberg model on a plaquette, where the ground states can be expressed as linear superposition of two different dimer coverings whose coefficients depend on the Classical Heisenberg model is a generalization of the Ising model where the spin is three dimensional unit vector instead of scalar -1 or 1. As a pivotal process in quantum magnet-ism, the quasiparticle spin excitations (magnons) can propagate through the system by coherent spin exchanges that conserve the total magnetization [8]. demonstrated that simulation, such as Rydberg atoms, trapped ions and super-conducting qubits, can be natively described by this Hamil-tonian [112–120]. Jun 5, 2019 · We investigate the Kitaev-Heisenberg (KH) model at finite temperature using the exact environment full update (eeFU), introduced in Phys. fl ny gw cg yy vw sy ch io qp