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.
Tilloy, A study of the quantum sinh-gordon model with relativistic continuous matrix product states, arXiv preprint arXiv:2209.05341 (2022)
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The continuum limit of gauged tensor networks is well defined and produces a new class of states for non-perturbative continuum gauge theories.
Proposes continuous matrix product operators for QFT with closed-form matrix-function expressions from continuum limits of MPOs that preserve area-law entanglement and enable new continuous unitaries beyond quantum cellular automata.
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Some progress on the use of the variational method in quantum field theory
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.
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Continuum limit of gauged tensor network states
The continuum limit of gauged tensor networks is well defined and produces a new class of states for non-perturbative continuum gauge theories.
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Continuous matrix product operators for quantum fields
Proposes continuous matrix product operators for QFT with closed-form matrix-function expressions from continuum limits of MPOs that preserve area-law entanglement and enable new continuous unitaries beyond quantum cellular automata.