Multiscale quantum simulation of quantum field theory using wavelets

Gavin K. Brennen; Peter Rohde; Barry C. Sanders; Sukhwinder Singh

doi:10.1103/PhysRevA.92.032315

Multiscale quantum simulation of quantum field theory using wavelets

Gavin K. Brennen, Peter Rohde, Barry C. Sanders, Sukhwinder Singh

ARC Centre of Excellence for Engineered Quantum Systems (EQuS)

Research output: Contribution to journal › Article › peer-review

39 Citations (Scopus)

91 Downloads (Pure)

Abstract

A successful approach to understand field theories is to resolve the physics into different length or energy scales using the renormalization group framework. We propose a quantum simulation of quantum field theory which encodes field degrees of freedom in a wavelet basis - a multiscale description of the theory. Since wavelet families can be constructed to have compact support at all resolutions, this encoding allows for quantum simulations to create particle excitations which are local at some chosen scale and provides a natural way to associate observables in the theory to finite-resolution detectors.

Original language	English
Article number	032315
Pages (from-to)	1-11
Number of pages	11
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	92
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.92.032315
Publication status	Published - 15 Sept 2015

Bibliographical note

Brennen, G. K., Rohde, P., Sanders, B. C., & Singh, S. (2015). Multi-scale quantum simulation of quantum field theory using wavelets. Phys. Rev. A 92, 032315. Copyright (2015) by the American Physical Society. The original article can be found at http://dx.doi.org/10.1103/PhysRevA.92.032315.

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Multiscale quantum simulation of quantum field theory using wavelets

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