Quantum Tetrahedral Mean Field Theory of the Magnetic Susceptibility for the Pyrochlore Lattice [PDF]
A quantum mean field theory of the pyrochlore lattice is presented. The starting point is not the individual magnetic ions, as in the usual Curie-Weiss mean field theory, but a set of interacting corner sharing tetrahedra. We check the consistency of the model against magnetic susceptibility data, and find a good agreement between the theoretical ...
Ángel J. García-Adeva, D. L. Hùber
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Lattice Integrable Models of Quantum Field Theory [PDF]
The quantum inverse scattering method allows one to put quantum field theory models on a lattice in a way which preservesthe dynamicalstructure.The trace identitiesare discussedfor thesemodels.
V. E. Korepin+2 more
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Quantum Cellular Automata from Lattice Field Theories
We apply the methods of lattice field theories to the quantization of cellular automata. We discuss the quantization of five main categories of cellular automata: bosonic, fermionic, supersymmetric, spin and quantum dot using path integral and operator formalisms of lattice field theories.
Michael McGuigan
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Quantum group symmetries in two-dimensional lattice quantum field theory
Abstract We present a general theory of non-local conserved currents in two-dimensional quantum field theory in the lattice approximation. They reflect quantum group symmetries. Various examples are studied.
Giovanni Felder, Denis Bernard
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Disordered Lattice Glass $\phi^{4}$ Quantum Field Theory [PDF]
We study numerically the three-dimensional $ϕ^{4}$ spin glass, a prototypical disordered and discretized Euclidean field theory that manifests inhomogeneities in space and time but considers a homogeneous squared mass and lambda terms. The $ϕ^{4}$ lattice glass field theory is a conceptual generalization of spin glasses to continuous degrees of freedom
Dimitrios Bachtis
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Strategies for quantum-optimized construction of interpolating operators in classical simulations of lattice quantum field theories [PDF]
It has recently been argued that noisy intermediate-scale quantum computers may be used to optimize interpolating operator constructions for lattice quantum field theory (LQFT) calculations on classical computers.
A. Avkhadiev, P. Shanahan, R. Young
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Diffusion Models as Stochastic Quantization in Lattice Field Theory [PDF]
In this work, we establish a direct connection between generative diffusion models (DMs) and stochastic quantization (SQ). The DM is realized by approximating the reversal of a stochastic process dictated by the Langevin equation, generating samples from
L. Wang, Gert Aarts, Kai Zhou
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Krylov complexity in quantum field theory, and beyond [PDF]
We study Krylov complexity in various models of quantum field theory: free massive bosons and fermions on flat space and on spheres, holographic models, and lattice models with a UV-cutoff.
Alexander Avdoshkin+2 more
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Entanglement Hamiltonians: From Field Theory to Lattice Models and Experiments [PDF]
Results about entanglement (or modular) Hamiltonians of quantum many‐body systems in field theory and statistical mechanics models, and recent applications in the context of quantum information and quantum simulation, are reviewed.
M. Dalmonte+3 more
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Hydrodynamics as a Quantum Field Theory on the lattice [PDF]
Giorgio Torrieri
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