From spin chains to real-time thermal field theory using tensor networks
One of the most interesting directions in theoretical high-energy and condensed-matter physics is understanding dynamical properties of collective states of quantum field theories. The most elementary tool in this quest is retarded equilibrium correlators governing the linear response theory. In thi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033301 |
| _version_ | 1797211354757595136 |
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| author | Mari Carmen Bañuls Michal P. Heller Karl Jansen Johannes Knaute Viktor Svensson |
| author_facet | Mari Carmen Bañuls Michal P. Heller Karl Jansen Johannes Knaute Viktor Svensson |
| author_sort | Mari Carmen Bañuls |
| collection | DOAJ |
| description | One of the most interesting directions in theoretical high-energy and condensed-matter physics is understanding dynamical properties of collective states of quantum field theories. The most elementary tool in this quest is retarded equilibrium correlators governing the linear response theory. In this article we examine tensor networks as a way of determining them in a fully ab initio way in a class of (1 + 1)-dimensional quantum field theories arising as infrared descriptions of quantum Ising chains. We show that, complemented with signal analysis using the Prony method, tensor network calculations for intermediate times provide a powerful way to explore the structure of singularities of the correlator in the complex frequency plane and to make predictions about the thermal response to perturbations in a class of nonintegrable interacting quantum field theories. |
| first_indexed | 2024-04-24T10:25:10Z |
| format | Article |
| id | doaj.art-add26440bc244e039e4bc267551fe954 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:25:10Z |
| publishDate | 2020-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-add26440bc244e039e4bc267551fe9542024-04-12T16:59:27ZengAmerican Physical SocietyPhysical Review Research2643-15642020-08-012303330110.1103/PhysRevResearch.2.033301From spin chains to real-time thermal field theory using tensor networksMari Carmen BañulsMichal P. HellerKarl JansenJohannes KnauteViktor SvenssonOne of the most interesting directions in theoretical high-energy and condensed-matter physics is understanding dynamical properties of collective states of quantum field theories. The most elementary tool in this quest is retarded equilibrium correlators governing the linear response theory. In this article we examine tensor networks as a way of determining them in a fully ab initio way in a class of (1 + 1)-dimensional quantum field theories arising as infrared descriptions of quantum Ising chains. We show that, complemented with signal analysis using the Prony method, tensor network calculations for intermediate times provide a powerful way to explore the structure of singularities of the correlator in the complex frequency plane and to make predictions about the thermal response to perturbations in a class of nonintegrable interacting quantum field theories.http://doi.org/10.1103/PhysRevResearch.2.033301 |
| spellingShingle | Mari Carmen Bañuls Michal P. Heller Karl Jansen Johannes Knaute Viktor Svensson From spin chains to real-time thermal field theory using tensor networks Physical Review Research |
| title | From spin chains to real-time thermal field theory using tensor networks |
| title_full | From spin chains to real-time thermal field theory using tensor networks |
| title_fullStr | From spin chains to real-time thermal field theory using tensor networks |
| title_full_unstemmed | From spin chains to real-time thermal field theory using tensor networks |
| title_short | From spin chains to real-time thermal field theory using tensor networks |
| title_sort | from spin chains to real time thermal field theory using tensor networks |
| url | http://doi.org/10.1103/PhysRevResearch.2.033301 |
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