Entanglement in quantum field theory via wavelet representations

George, DJ; Sanders, YR; Bagherimehrab, M; Sanders, BC; Brennen, GK

Entanglement in quantum field theory via wavelet representations

George, DJ Sanders, YR Bagherimehrab, M Sanders, BC Brennen, GK

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Publisher:: AMER PHYSICAL SOC
Publication Type:: Journal Article
Citation:: Physical Review D, 2022, 106, (3)
Issue Date:: 2022-08-01

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Field	Value	Language
dc.contributor.author	George, DJ
dc.contributor.author	Sanders, YR
dc.contributor.author	Bagherimehrab, M
dc.contributor.author	Sanders, BC
dc.contributor.author	Brennen, GK
dc.date.accessioned	2023-02-23T23:11:26Z
dc.date.available	2023-02-23T23:11:26Z
dc.date.issued	2022-08-01
dc.identifier.citation	Physical Review D, 2022, 106, (3)
dc.identifier.issn	2470-0010
dc.identifier.issn	2470-0029
dc.identifier.uri	http://hdl.handle.net/10453/166407
dc.description.abstract	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.
dc.language	English
dc.publisher	AMER PHYSICAL SOC
dc.relation.ispartof	Physical Review D
dc.relation.isbasedon	10.1103/PhysRevD.106.036025
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	"Yuval R. Sanders, Physical Review D, 106, 036025,, 2022." 2022 by the American Physical Society."
dc.subject	0201 Astronomical and Space Sciences, 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics, 0206 Quantum Physics
dc.subject.classification	Nuclear & Particles Physics
dc.title	Entanglement in quantum field theory via wavelet representations
dc.type	Journal Article
utslib.citation.volume	106
utslib.for	0201 Astronomical and Space Sciences
utslib.for	0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
utslib.for	0206 Quantum Physics
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
utslib.copyright.status	open_access	*
dc.date.updated	2023-02-23T23:11:07Z
pubs.issue	3
pubs.publication-status	Published
pubs.volume	106
utslib.citation.issue	3

Abstract:

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.

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http://hdl.handle.net/10453/166407