Entanglement renormalization and boundary critical phenomena
arXiv:0912.2893 · doi:10.1088/1742-5468/2010/03/L03001
Abstract
The multiscale entanglement renormalization ansatz is applied to the study of boundary critical phenomena. We compute averages of local operators as a function of the distance from the boundary and the surface contribution to the ground state energy. Furthermore, assuming a uniform tensor structure, we show that the multiscale entanglement renormalization ansatz implies an exact relation between bulk and boundary critical exponents known to exist for boundary critical systems.
6 pages, 4 figures; for a related work see arXiv:0912.1642
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- Representation and design of wavelets using unitary circuits
- Scale free property and edge state of Wilson's numerical renormalization group
- Quantum Impurity in Luttinger Liquid: Universal Conductance with Entanglement Renormalization