期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 2022, 期 1, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1742-5468/ac3658
关键词
generalized Gibbs ensemble; quantum transport in one-dimension; thermodynamic Bethe ansatz
资金
- National Science Centre, Poland, under the SONATA grant [2018/31/D/ST3/03588]
This article reviews recent advances in exact results for dynamical correlation functions and related transport coefficients in interacting integrable models at large scales. The discussion includes topics such as Drude weights, conductivity and diffusion constants, as well as linear and nonlinear response in equilibrium and non-equilibrium states. The authors consider the problems from the perspectives of the general hydrodynamic theory of many-body systems and form-factor expansions in integrable models, showing how they provide a comprehensive and consistent set of exact methods for extracting large scale behaviors. Various applications in integrable spin chains and field theories are also discussed.
We review the recent advances on exact results for dynamical correlation functions at large scales and related transport coefficients in interacting integrable models. We discuss Drude weights, conductivity and diffusion constants, as well as linear and nonlinear response on top of equilibrium and non-equilibrium states. We consider the problems from the complementary perspectives of the general hydrodynamic theory of many-body systems, including hydrodynamic projections, and form-factor expansions in integrable models, and show how they provide a comprehensive and consistent set of exact methods to extract large scale behaviours. Finally, we overview various applications in integrable spin chains and field theories.
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