这就是我们定义AKLT model的动机,AKLT Hamiltonian在某种程度上就是一个投影算符。 对于我们的spin-1 AKLT链,我们按上述方法定义每两个相邻格点的spin-1的投影算符P2i,i+1=Hi,那么AKLT model可以等价的写为: H=∑iHi 由于P2i,i+1半正定,如果我们能找到一个态|Ω⟩使得:∀i,Hi|Ω⟩=0,那么|Ω⟩...
F. D. M. Haldane. Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model. Physics Letters A, 93(9): 464-468 (1983). Z.-C. Gu, and X.-G. Wen. Tensor-entanglement-filtering renormalization approach and symmetry-protected topological ord...
Xu, Y., Katsura, H., Hirano, T., Korepin, V.E.: Entanglement and Density Matrix of a Block of Spins in AKLT Model (2008). arXiv:0802.3221Y. Xu, H. Katsura, T. Hirano, and V. E. Korepin, "Entanglement and density matrix of a block of spins in AKLT model," J. Stat. ...
In 1987, Affleck, Kennedy, Lieb, and Tasaki introduced the AKLT spin chain and proved that it has a spectral gap above the ground state. Their concurrent conjecture that the two-dimensional AKLT model on the hexagonal lattice is also gapped remains open. In this paper, we show that the ...
In this paper, we introduce a family of variants of the two-dimensional AKLT model depending on a positive integer n n n , which is defined by decorating the edges of the hexagonal lattice with one-dimensional AKLT spin chains of length n n . We prove that these decorated models are ...
We analytically obtain an infinite series of exact excited states for the AKLT spin chain, a non-integrable model. These states can be interpreted as quasiparticles on the ground state or the ferromagnetic state and this is clear when written in terms of dimers. Some of these states are in ...
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Model No. ACC-LATP1 Dimension (W x H x D) 183*86*28mm Weight 769g Input 100~240V, 50~60Hz Output 19.5V/10.8A (210W) Color White DC output cable 14AWG, 1.5m Type L Type Accessory Power Cord, Regulation Book Unit Controller(LCLG141U) Resolution 960x540 (1/4 FHD)...
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We study the entanglement properties of a higher-integer-spin Affleck-Kennedy-Lieb-Tasaki model with quantum group symmetry in the periodic boundary condition. We exactly calculate the finite size correction terms of the entanglement entropies from the double scaling limit. We also evaluate the geomet...