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  2. 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_model
    en.wikipedia.org/wiki/Classical_XY_model
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    What is the quantum Heisenberg model?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.
    What is a Heisenberg model?The Heisenberg model is a more realistic model in that it treats the spins quantum-mechanically, by replacing the spin by a quantum operator acting upon the tensor product , of dimension . To define it, recall the Pauli spin-1/2 matrices and for and denote , where is the identity matrix.
    What is entanglement in Heisenberg XY model?[Submitted on 3 Jan 2001 ( v1 ), last revised 13 Mar 2001 (this version, v2)] 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 concurrence, we study the entanglement in the time evolution of the XY model.
    What is the Heisenberg model describing spins on a lattice?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). In this model we study spin transport far from equilibrium after quantum quenches from imprinted spin-helix patterns.
     
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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 … See more

    For quantum mechanical reasons (see exchange interaction or Magnetism § Quantum-mechanical origin of magnetism), the dominant coupling between two dipoles may cause nearest-neighbors to have lowest energy … See more

    • Another important object is entanglement entropy. One way to describe it is to subdivide the unique ground state into a block (several … See more

    The integrability is underpinned by the existence of large symmetry algebras for the different models. For the XXX case this is the Yangian See more

     
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