Entanglement features of Floquet random and fully random unitary quantum circuits

ORAL

Abstract

We study the entanglement dynamics for Floquet random and fully random unitary circuits. The Floquet circuit consists of an on-site Haar random layer alternating with a nearest neighbor interaction layer. In the limit where the local Hilbert space dimension q is large, we show an emergent Ising symmetry and obtain an analytical expression for short time periods via the transfer matrix method. Based on our short time result, we promote the "entanglement feature" to an operator formalism and derive a diffusion equation for the entanglement dynamics at long times. The similar functional form of the corresponding diffusion operators implies a universal thermalization behavior in Floquet random and fully random unitary circuits.

[1] Yi-Zhuang You and Yingfei Gu, “Entanglement features of random Hamiltonian dynamics”, Phys. Rev. B 98, 014309 (2018)

[2] Amos Chan, Andrea De Luca, and J. T. Chalker, “Spectral statistics in spatially extended chaotic quantum many-body systems”, Phys. Rev. Lett. 121, 060601, 2018.

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Presenters

  • Wei-Ting Kuo

    University of California, San Diego

Authors

  • Wei-Ting Kuo

    University of California, San Diego

  • Daniel Arovas

    University of California, San Diego

  • Yizhuang You

    University of California, San Diego, Department of Physics, Harvard University, Physics, University of California, San Diego, Department of Physics, University of California, San Diego, Harvard University, UCSD