Phase structure and real-time dynamics of the massive Thirring model in 1+1 dimensions using the tensor-network method

Mari Carmen Bañuls; Krzysztof Cichy; Hao Ti Hung; Ying Jer Kao; C. J. David Lin; Yu Ping Ling; David T.L. Tan

doi:10.22323/1.363.0022

Phase structure and real-time dynamics of the massive Thirring model in 1+1 dimensions using the tensor-network method

Mari Carmen Bañuls, Krzysztof Cichy, Hao Ti Hung, Ying Jer Kao, C. J. David Lin, Yu Ping Ling, David T.L. Tan

物理研究所

研究成果: Conference article › 同行評審

1 引文斯高帕斯（Scopus）

摘要

We present concluding results from our study for zero-temperature phase structure of the massive Thirring model in 1+1 dimensions with staggered regularisation. Employing the method of matrix product states, several quantities, including two types of correlators, are investigated, leading to numerical evidence of a Berezinskii-Kosterlitz-Thouless phase transition. Exploratory results for real-time dynamics pertaining to this transition, obtained using the approaches of variational uniform matrix product state and time-dependent variational principle, are also discussed.

原文	English
文章編號	022
頁數	7
期刊	Proceedings of Science
卷	363
DOIs	https://doi.org/10.22323/1.363.0022
出版狀態	Published - 6月 2019
事件	37th International Symposium on Lattice Field Theory, LATTICE 2019 - Wuhan, China 持續時間: 16 6月 2019 → 22 6月 2019

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10.22323/1.363.0022

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abstract = "We present concluding results from our study for zero-temperature phase structure of the massive Thirring model in 1+1 dimensions with staggered regularisation. Employing the method of matrix product states, several quantities, including two types of correlators, are investigated, leading to numerical evidence of a Berezinskii-Kosterlitz-Thouless phase transition. Exploratory results for real-time dynamics pertaining to this transition, obtained using the approaches of variational uniform matrix product state and time-dependent variational principle, are also discussed.",

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AU - Bañuls, Mari Carmen

AU - Cichy, Krzysztof

AU - Hung, Hao Ti

AU - Kao, Ying Jer

AU - David Lin, C. J.

AU - Ling, Yu Ping

AU - Tan, David T.L.

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

PY - 2019/6

Y1 - 2019/6

N2 - We present concluding results from our study for zero-temperature phase structure of the massive Thirring model in 1+1 dimensions with staggered regularisation. Employing the method of matrix product states, several quantities, including two types of correlators, are investigated, leading to numerical evidence of a Berezinskii-Kosterlitz-Thouless phase transition. Exploratory results for real-time dynamics pertaining to this transition, obtained using the approaches of variational uniform matrix product state and time-dependent variational principle, are also discussed.

AB - We present concluding results from our study for zero-temperature phase structure of the massive Thirring model in 1+1 dimensions with staggered regularisation. Employing the method of matrix product states, several quantities, including two types of correlators, are investigated, leading to numerical evidence of a Berezinskii-Kosterlitz-Thouless phase transition. Exploratory results for real-time dynamics pertaining to this transition, obtained using the approaches of variational uniform matrix product state and time-dependent variational principle, are also discussed.

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VL - 363

JO - Proceedings of Science

JF - Proceedings of Science

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T2 - 37th International Symposium on Lattice Field Theory, LATTICE 2019

Y2 - 16 June 2019 through 22 June 2019

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Phase structure and real-time dynamics of the massive Thirring model in 1+1 dimensions using the tensor-network method

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