Introduces wavelet matrix product states as a tensor network variational method for continuum quantum fields, allowing standard MPS algorithms and scale refinement, tested on Lieb-Liniger energy and correlations.
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Relativistic continuous matrix product states yield competitive variational approximations to ground state energies and observables in the phi^4, Sine-Gordon, and Sinh-Gordon models, including strongly coupled regimes.
The continuum limit of gauged tensor networks is well defined and produces a new class of states for non-perturbative continuum gauge theories.
Introductory lecture notes on tensor networks with emphasis on matrix-product states, their algorithms, higher-dimensional generalizations, and applications to mixed states and open quantum systems, accompanied by Julia code.
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