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 Quantum Sine-Gordon Equation as the Massive Thirring Model
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A most-likely-trajectory method exactly solves Gaussian bosonic monitoring and approximates the Sine-Gordon model to show an entanglement phase transition from area-law to logarithmic scaling.
Imposing zero total momentum enables perturbative construction of the quantum ground state for solitons despite zero modes from broken translation invariance.
Backreaction in semiclassical scalar QED in 1+1D avoids instabilities and produces over-screening at high external charges.
Quantum simulation methods for Thirring and Gross-Neveu fermionic models with arbitrary flavors, including gate complexity bounds and ground-state preparation up to 20 qubits.
citing papers explorer
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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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Measurement-induced phase transition in interacting bosons from most likely quantum trajectory
A most-likely-trajectory method exactly solves Gaussian bosonic monitoring and approximates the Sine-Gordon model to show an entanglement phase transition from area-law to logarithmic scaling.
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Constructing Quantum Soliton States Despite Zero Modes
Imposing zero total momentum enables perturbative construction of the quantum ground state for solitons despite zero modes from broken translation invariance.
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Revisiting semiclassical scalar QED in 1+1 dimensions
Backreaction in semiclassical scalar QED in 1+1D avoids instabilities and produces over-screening at high external charges.
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Quantum simulation of massive Thirring and Gross--Neveu models for arbitrary number of flavors
Quantum simulation methods for Thirring and Gross-Neveu fermionic models with arbitrary flavors, including gate complexity bounds and ground-state preparation up to 20 qubits.