Critical exponents of one-dimensional quantum critical models by means of MERA tensor network
arXiv:0810.1414 · doi:10.1103/PhysRevB.80.113103
Abstract
An algorithm for optimizing the MERA tensor network in an infinite system is presented. Using this technique we compute the critical exponents of Ising and XXZ model.
4 pages, 4 figures
References in corpus (14)
- A class of quantum many-body states that can be efficiently simulated
- DMRG and periodic boundary conditions: a quantum information perspective
- New Trends in Density Matrix Renormalization
- Algorithms for entanglement renormalization
- Variational study of hard-core bosons in a 2-D optical lattice using Projected Entangled Pair States (PEPS)
- The power of quantum systems on a line
- Variational quantum Monte Carlo simulations with tensor-network states
- Entanglement renormalization, scale invariance, and quantum criticality
- Entanglement renormalization in two spatial dimensions
- Quantum MERA Channels
- Ground state approximation for strongly interacting systems in arbitrary dimension
- Simulation of time evolution with the MERA
- The computational difficulty of finding MPS ground states
- Homogeneous MERA states: an information theoretical analysis
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- On the closedness and geometry of tensor network state sets
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