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Entanglement in quantum field theory via wavelet representations

Jan 16, 2022

17 pages

Published in:

Phys.Rev.D 106 (2022) 3, 036025

Published: Aug 1, 2022

e-Print:

2201.06211 [quant-ph]

DOI:

10.1103/PhysRevD.106.036025 (publication)

View in:

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Abstract: (APS)

Quantum field theory (QFT) describes nature using continuous fields, but physical properties of QFT are usually revealed in terms of measurements of observables at a finite resolution. We describe a multiscale representation of free scalar bosonic and Ising model fermionic QFTs using wavelets. Making use of the orthogonality and self-similarity of the wavelet basis functions, we demonstrate some well-known relations such as scale-dependent subsystem entanglement entropy and renormalization of correlations in the ground state. We also find some new applications of the wavelet transform as a compressed representation of ground states of QFTs which can be used to illustrate quantum phase transitions via fidelity overlap and holographic entanglement of purification.

Note:

17 pages, 10 figures

entropy: entanglement
boson: scalar
field theory: representation
fermion: field theory

References(33)

Figures(13)

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