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  Reduced density matrix and entanglement in interacting quantum field theory with Hamiltonian truncation.

Emonts, P., & Kukuljan, I. (2022). Reduced density matrix and entanglement in interacting quantum field theory with Hamiltonian truncation. Physical Review Research, 4: 033039. doi:10.1103/PhysRevResearch.4.033039.

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 Creators:
Emonts, Patrick1, 2, Author              
Kukuljan, Ivan1, 2, Author              
Affiliations:
1Theory, Max Planck Institute of Quantum Optics, Max Planck Society, ou_1445571              
2MCQST - Munich Center for Quantum Science and Technology, External Organizations, ou_3330166              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: Entanglement is the fundamental difference between classical and quantum systems and has become one of the guiding principles in the exploration of high- and low-energy physics. The calculation of entanglement entropies in interacting quantum field theories, however, remains challenging. Here, we present the first method for the explicit computation of reduced density matrices of interacting quantum field theories using truncated Hamiltonian methods. The method is based on constructing an isomorphism between the Hilbert space of the full system and the tensor product of Hilbert spaces of sub-intervals. This naturally enables the computation of the von Neumann and arbitrary R\'enyi entanglement entropies as well as mutual information, logarithmic negativity and other measures of entanglement. Our method is applicable to equilibrium states and non-equilibrium evolution in real time. It is model independent and can be applied to any Hamiltonian truncation method that uses a free basis expansion. We benchmark the method on the free Klein-Gordon theory finding excellent agreement with the analytic results. We further demonstrate its potential on the interacting sine-Gordon model, studying the scaling of von Neumann entropy in ground states and real time dynamics following quenches of the model.

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Language(s): eng - English
 Dates: 2022-03-162022-02-222022-06-172022-07-14
 Publication Status: Published online
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2202.11113v2
DOI: 10.1103/PhysRevResearch.4.033039
Other: 6324
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Funding organization : Max-Planck-Harvard Research Center for Quantum Optics (MPHQ)
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Funding organization : International Max-Planck Research School for Quantum Science and Technology (IMPRS-QST)

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Title: Physical Review Research
Source Genre: Journal
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Publ. Info: College Park, Maryland, United States : American Physical Society (APS)
Pages: - Volume / Issue: 4 Sequence Number: 033039 Start / End Page: - Identifier: ISSN: 2643-1564
CoNE: https://pure.mpg.de/cone/journals/resource/2643-1564