Entanglement in quantum field theory via wavelet representations
- URL: http://arxiv.org/abs/2201.06211v4
- Date: Thu, 29 Sep 2022 13:59:37 GMT
- Title: Entanglement in quantum field theory via wavelet representations
- Authors: Daniel J. George and Yuval R. Sanders and Mohsen Bagherimehrab and
Barry C. Sanders and Gavin K. Brennen
- Abstract summary: We show a multiscale representation of a free bosonic and Ising model fermionic QFTs using wavelets.
We also find some new applications of the wavelet transform as a compressed representation of ground states of QFTs.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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
a 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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