منابع مشابه
Entanglement in Valence-Bond-Solid States
This article reviews the quantum entanglement in Valence-Bond-Solid (VBS) states defined on a lattice or a graph. The subject is presented in a self-contained and pedagogical way. The VBS state was first introduced in the celebrated paper by I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki (abbreviation AKLT is widely used). It became essential in condensed matter physics and quantum informatio...
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We propose an order parameter to characterize valence-bond-solid (VBS) states in quantum spin chains, given by the ground-state expectation value of a unitary operator appearing in the Lieb-Schultz-Mattis argument. We show that the order parameter changes the sign according to the configuration of the valence bonds. This allows us to determine the phase transition point in between different VBS...
متن کاملValence Bond Ground States in Quantum Antiferromagnets and Quadratic Algebras
The wave functions corresponding to the zero energy eigenvalue of a onedimensional quantum chain Hamiltonian can be written in a simple way using quadratic algebras. Hamiltonians describing stochastic processes have stationary states given by such wave functions and various quadratic algebras were found and applied to several diffusions processes. We show that similar methods can also be applie...
متن کاملCharge-ordered resonating valence bond states in doped cuprates
We study charge ordered d-wave resonating valence bond states sdRVBd in the doped cuprates, and estimate the energies of these states in a generalized t-J model by using a renormalized mean-field theory. The longrange Coulomb potential tends to modulate the charge density in favor of the charge ordered RVB state. The possible relevance to the recently observed 434 checkerboard patterns in tunne...
متن کاملThe matrix product representations for all valence bond states
We introduce a simple representation for irreducible spherical tensor operators of the rotation group of arbitrary integer or half integer rank and use these tensor operators to construct matrix product states corresponding to all the variety of valence-bond states proposed in the Affleck-Kennedy-Lieb-Tasaki (AKLT) construction. These include the fully dimerized states of arbitrary spins, the p...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2009
ISSN: 0003-4916
DOI: 10.1016/j.aop.2009.06.001