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  Complexity as a novel probe of quantum quenches: universal scalings and purifications

Camargo, H. A., Caputa, P., Das, D., Heller, M. P., & Jefferson., R. (2019). Complexity as a novel probe of quantum quenches: universal scalings and purifications. Physical Review Letters, 122(8): 081601. doi:10.1103/PhysRevLett.122.081601.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-E3D9-A Version Permalink: http://hdl.handle.net/21.11116/0000-0003-23F6-0
Genre: Journal Article

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 Creators:
Camargo, Hugo Antonio1, Author              
Caputa, Pawel, Author
Das, Diptarka1, Author              
Heller, Michal P.1, Author              
Jefferson., Ro1, Author              
Affiliations:
1Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_2477692              

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Free keywords: High Energy Physics - Theory, hep-th, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,Quantum Physics, quant-ph
 Abstract: We apply the recently developed notion of complexity for field theory to a quantum quench through the critical point in 1+1 dimensions. We begin with a toy model consisting of a quantum harmonic oscillator, and show that complexity exhibits universal scalings in both the slow and fast quench regimes. We then generalize our results to a 1-dimensional harmonic chain, and show that preservation of these scaling behaviours in free field theory depends on the choice of norm. Applying our set-up to the case of two oscillators, we quantify the complexity of purification associated to a subregion, and demonstrate that complexity is capable of probing features to which the entanglement entropy is insensitive. We find that the complexity of subregions is superadditive, and comment on potential implications for holography.

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 Dates: 2018-07-182019
 Publication Status: Published in print
 Pages: 5+4 pages, 4 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1807.07075
URI: http://arxiv.org/abs/1807.07075
DOI: 10.1103/PhysRevLett.122.081601
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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 122 (8) Sequence Number: 081601 Start / End Page: - Identifier: -