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- The Heisenberg XY model is a lattice model of statistical mechanics, sometimes called the classical rotor or O(2) model. It can be seen as a specialization of Stanley's n-vector model for n=21. In the continuum limit, the Heisenberg model gives an equation of motion that is called the continuous classical Heisenberg ferromagnet equation2.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.The classical XY model (sometimes also called classical rotor (rotator) model or O (2) model) is a lattice model of statistical mechanics. In general, the XY model can be seen as a specialization of Stanley's n -vector model for n = 2.en.wikipedia.org/wiki/Classical_XY_modelIn the continuum limit the Heisenberg model (2) gives the following equation of motion S → t = S → ∧ S → x x. {displaystyle {vec {S}}_ {t}= {vec {S}}wedge {vec {S}}_ {xx}.} This equation is called the continuous classical Heisenberg ferromagnet equation or shortly Heisenberg model and is integrable in the sense of soliton theory.en.wikipedia.org/wiki/Classical_Heisenberg_model
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WebHeisenberg chain, known as the XY model, which was originally studied in great detail in [3]. The XY model, which can be obtained from the Heisenberg Hamiltonian by turning …
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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. It is related to the prototypical Ising model, where at each site of a lattice, a spin represents a microscopic magnetic dipole to which the magnetic moment is either up or down. Except the coupling between magnetic dipole …
Wikipedia · Text under CC-BY-SA license- Studies of heisenberg xy model
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WebJan 3, 2001 · We study the entanglement in the quantum Heisenberg XY model in which the so-called W entangled states can be generated for 3 or 4 qubits. By the concept of …
WebThe purpose of this chapter is to focus on two models fundamental to the study of both 1d quantum systems and 2d classical systems. They are the XXZ chain (and its 2d classical …
WebDec 10, 2010 · Here we report the first experimental study using the geometric phase as a topological test of quantum transitions of the ground state in a Heisenberg X Y spin …
Web2 XY model In the classical xy-model, the variables are two-dimensional unit vectors ~s i on each lattice site, equivalent to an angle θ. This model is a limiting case of the …
WebWe investigate the thermal entanglement in the two-qubit isotropic XY model with a magnetic field and in the anisotropic XY model, and find that the thermal entanglement …
WebOct 6, 2003 · We investigate the thermal entanglement in the two-qubit Heisenberg XY model with a nonuniform magnetic field. Concurrence, the measurement of …
WebJan 1, 2010 · The XY Model is another linear chain of spin-1/2 atoms but with a different type of exchange interaction in which only the x -components and y -components of the …
Classical Heisenberg model - Wikipedia
WebThe 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, …
Quantum correlations in the frustrated XY model on the …
WebSep 25, 2023 · Abstract. We have investigated the spin-1/2 XY frustrated antiferromagnetic Heisenberg honeycomb model, which features an intermediate …
Quantum Fisher information matrix in Heisenberg XY model
WebApr 16, 2019 · In this work, we have studied multiparametric estimation strategy in quantum metrology by focusing on two variants of the Heisenberg XY model. The first one …
Entanglement in the quantum Heisenberg XY model
WebJan 3, 2001 · We investigate the thermal entanglement in the two-qubit isotropic $\mathrm{XY}$ model with a magnetic field and in the anisotropic $\mathrm{XY}$ …
Long-range-ordered phase in a quantum Heisenberg chain with ...
WebJul 6, 2021 · Employing both analytical spin-wave theory as well as numerical density-matrix renormalization group calculations, we find that there is a large parameter regime where …
WebQuantum Heisenberg XY model. 1email: [email protected] 2email: [email protected] 3email: [email protected] 4email: [email protected]. 1 …
A comparative study of local quantum Fisher information and local ...
WebJul 8, 2019 · Quantum Heisenberg XY model. 1. Introduction. Quantum entanglement, as a special type of quantum correlations, is a key ingredient in quantum information science …
Quantum coherence and its distribution in a two-dimensional …
WebAug 15, 2022 · Quantum coherence and its distribution in a two-dimensional Heisenberg XY model - ScienceDirect. Abstract. Physica A: Statistical Mechanics and its Applications. …
Spin transport in a tunable Heisenberg model realized with …
WebDec 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 …
Dynamics of two-qubit Heisenberg XY state: external magnetic
WebSep 21, 2023 · Based on Milburn’s intrinsic decoherence model, a particular dynamics for the anisotropic two-qubit Heisenberg XY model has been found to explore the …
Exact solution of the Heisenberg XX model with twisted boundary ...
WebSep 7, 2020 · Exact solution. Twisted boundary. Heisenberg XX model. 1. Introduction. The Heisenberg spin system has been studied widely in statistical physics and mathematical …
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Energy Barriers for the Spontaneous Magnetization Reversal
WebWithin the framework of the continuous XY model, analytical expressions are derived to calculate the time of the spontaneous magnetization reversal of finite-length atomic …
[2301.11917] Everything is a quantum Ising model - arXiv.org
WebJan 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, …
Web2 days ago · II. MODEL The working medium consists of three qubits described by a Heisenberg XXX model with nearest-neighbor inter-actions, uniaxial magnetic …
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