PIRSA:17030054

Towards a "hydrodynamic" approach to density matrices in quantum chaotic systems

APA

Lashkari, N. (2017). Towards a "hydrodynamic" approach to density matrices in quantum chaotic systems. Perimeter Institute. https://pirsa.org/17030054

MLA

Lashkari, Nima. Towards a "hydrodynamic" approach to density matrices in quantum chaotic systems. Perimeter Institute, Mar. 07, 2017, https://pirsa.org/17030054

BibTex

          @misc{ pirsa_17030054,
            doi = {10.48660/17030054},
            url = {https://pirsa.org/17030054},
            author = {Lashkari, Nima},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Towards a "hydrodynamic" approach to density matrices in quantum chaotic systems},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {mar},
            note = {PIRSA:17030054 see, \url{https://pirsa.org}}
          }
          

Nima Lashkari McGill University

Abstract

We study the eigenstate thermalization hypothesis in chaotic conformal field theories (CFTs) of arbitrary dimensions by computing the reduced density matrices of small size in energy eigenstates. We show that in the infinite volume limit this operator is well-approximated by a “universal” density matrix which is its projection to the primary operators that have nonzero thermal one-point functions. These operators in all two-dimensional CFTs and holographic higher-dimensional CFTs are the polynomials of stress tensor. We compute the time-dependent two-point correlators and Renyi entropies of the universal density martix, and compare the results to the thermal Gibbs state and black holes in various dimensions. We demonstrate that the two-dimensional universal density matrix is close in trace distance to the reduced Gibbs state. We put forward the truncation of density matrix to the stress tensor sector as a “hydrodynamic” method to study the out-of-equilibrium dynamics of strong-coupled field theories