Continuous Matrix Product States for Quantum Fields

Author(s): F. Verstraete, J. I. Cirac

Journal: Physical Review Letters

Volume: 104

Page(s): 190405

Year: 2010

DOI Number: 10.1103/PhysRevLett.104.190405

Link: Link to publication


We define matrix product states in the continuum limit, without any reference to an underlying lattice parameter. This allows to extend the density matrix renormalization group and variational matrix product state formalism to quantum field theories and continuum models in 1 spatial dimension. We illustrate our procedure with the Lieb-Liniger model.


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