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Continuous Matrix Product States for Quantum Fields

Fri, 2010-05-14 12:23 - Lukas Theussl
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Date: 
2010-05-14
Author(s): 

F. Verstraete, J.I. Cirac

Reference: 

Phys. Rev. Lett. 104, 190405 (2010)

URL: 

http://prl.aps.org/abstract/PRL/v104/i19/e190405

Matrix product states (MPS) represent a powerful ansatz for the computation of ground state properties of local Hamiltonians. In this work, the authors define MPS in the continuum limit, without any reference to an underlying lattice parameter. This allows extending the density matrix renormalization group and variational matrix product state formalism to quantum field theories and continuum models in 1 spatial dimension.