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.
New analytic and Monte Carlo-assisted method tightens energy-based boson truncation bounds, reducing volume dependence in (1+1)D scalar and (2+1)D U(1) gauge theories.
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Wavelet Matrix Product States for Quantum Fields
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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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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Tightening energy-based boson truncation bound using Monte Carlo-assisted methods
New analytic and Monte Carlo-assisted method tightens energy-based boson truncation bounds, reducing volume dependence in (1+1)D scalar and (2+1)D U(1) gauge theories.