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Quantum algorithms for open lattice field theory [PDF]

open access: yesPhysical Review A, 2021
Certain aspects of some unitary quantum systems are well-described by evolution via a non-Hermitian effective Hamiltonian, as in the Wigner-Weisskopf theory for spontaneous decay. Conversely, any non-Hermitian Hamiltonian evolution can be accommodated in a corresponding unitary system + environment model via a generalization of Wigner-Weisskopf theory.
Bharath Sambasivam   +1 more
exaly   +3 more sources

Quantum Finite Elements for Lattice Field Theory [PDF]

open access: yesProceedings of The 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015), 2016
Viable non-perturbative methods for lattice quantum field theories on curved manifolds are difficult. By adapting features from the traditional finite element methods (FEM) and Regge Calculus, a new simplicial lattice Quantum Finite Element (QFE ...
Brower, Richard C.   +5 more
core   +2 more sources

Fractional Quantum Field Theory: From Lattice to Continuum [PDF]

open access: yesAdvances in High Energy Physics, 2014
An approach to formulate fractional field theories on unbounded lattice space-time is suggested. A fractional-order analog of the lattice quantum field theories is considered.
Vasily E. Tarasov
doaj   +2 more sources

Quantum simulation of quantum field theories as quantum chemistry

open access: yesJournal of High Energy Physics, 2020
Conformal truncation is a powerful numerical method for solving generic strongly-coupled quantum field theories based on purely field-theoretic technics without introducing lattice regularization.
Junyu Liu, Yuan Xin
doaj   +2 more sources

Quantum field theory on a growing lattice [PDF]

open access: yesJournal of High Energy Physics, 2004
We construct the classical and canonically quantized theories of a massless scalar field on a background lattice in which the number of points--and hence the number of modes--may grow in time.
A.R. Daughton   +17 more
core   +3 more sources

Quantum mean estimation for lattice field theory

open access: yesPhysical Review D, 2023
We demonstrate the quantum mean estimation algorithm on Euclidean lattice field theories. This shows a quadratic advantage over Monte Carlo methods which persists even in presence of a sign problem, and is insensitive to critical slowing down. The algorithm is used to compute $π$ with and without a sign problem, a toy U(1) gauge theory model, and the ...
Judah F Unmuth-Yockey
exaly   +3 more sources

fcc lattice, checkerboards, fractons, and quantum field theory [PDF]

open access: yesPhysical Review B, 2021
We consider XY-spin degrees of freedom on an fcc lattice, such that the system respects some subsystem global symmetry. We then gauge this global symmetry and study the corresponding $U(1)$ gauge theory on the fcc lattice. Surprisingly, this $U(1)$ gauge theory is dual to the original spin system.
Pranay Gorantla   +2 more
exaly   +2 more sources

A Gentle Introduction to Lattice Field Theory

open access: yesEntropy
The principles of Lattice Field Theory (LFT), in particular Lattice Gauge Theory (LGT), are explained for a nonspecialist audience. We describe some of the successes of the program; we also discuss the relationship between LFT and Quantum Cellular ...
Erhard Seiler
doaj   +3 more sources

Implementing the three-particle quantization condition for π + π + K + and related systems

open access: yesJournal of High Energy Physics, 2022
Recently, the formalism needed to relate the finite-volume spectrum of systems of nondegenerate spinless particles has been derived. In this work we discuss a range of issues that arise when implementing this formalism in practice, provide further ...
Tyler D. Blanton   +2 more
doaj   +1 more source

More on the flavor dependence of m ϱ /f π

open access: yesJournal of High Energy Physics, 2021
In previous work, [ arXiv:1905.01909 ], we have calculated the m ϱ /fπ ratio in the chiral and continuum limit for SU(3) gauge theory coupled to N f = 2, 3, 4, 5, 6 fermions in the fundamental representation.
Andrey Yu. Kotov   +3 more
doaj   +1 more source

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