17 papers
Solving frustrated Ising models using tensor networks
Bram Vanhecke, Jeanne Colbois, Laurens Vanderstraeten +2
Motivated by the recent success of tensor networks to calculate the residual entropy of spin ice and kagome Ising models, we develop a general framework to study frustrated Ising m…
Tangent-space methods for truncating uniform MPS
Bram Vanhecke, Maarten Van Damme, Jutho Haegeman +2
A central primitive in quantum tensor network simulations is the problem of approximating a matrix product state with one of a lower bond dimension. This problem forms the central…
Symmetric cluster expansions with tensor networks
Bram Vanhecke, Laurens Vanderstraeten, Frank Verstraete
Cluster expansions for the exponential of local operators are constructed using tensor networks. In contrast to other approaches, the cluster expansion does not break any spatial o…
Tensor-network approach to phase transitions in string-net models
Alexis Schotte, Jose Carrasco, Bram Vanhecke +4
We use a recently proposed class of tensor-network states to study phase transitions in string-net models. These states encode the genuine features of the string-net condensate suc…
A scaling hypothesis for matrix product states
Bram Vanhecke, Jutho Haegeman, Karel Van Acoleyen +2
We revisit the question of describing critical spin systems and field theories using matrix product states, and formulate a scaling hypothesis in terms of operators, eigenvalues of…
Approaching the Kosterlitz-Thouless transition for the classical XY model with tensor networks
Laurens Vanderstraeten, Bram Vanhecke, Andreas M. Laeuchli +1
We apply variational tensor-network methods for simulating the Kosterlitz-Thouless phase transition in the classical two-dimensional XY model. In particular, using uniform matrix p…