Related papers: Subsystem complexity after a global quantum quench

Subsystem complexity after a global quantum quench

URL: http://arxiv.org/abs/2102.02764v1
Date: Thu, 4 Feb 2021 17:48:58 GMT
Title: Subsystem complexity after a global quantum quench
Authors: Giuseppe Di Giulio, Erik Tonni
Abstract summary: We study the temporal evolution of the circuit complexity for a subsystem in harmonic lattices after a global quantum quench of the mass parameter. For infinite harmonic chains, the value of the subsystem complexity is studied through the generalised Gibbs ensemble.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study the temporal evolution of the circuit complexity for a subsystem in harmonic lattices after a global quantum quench of the mass parameter, choosing the initial reduced density matrix as the reference state. Upper and lower bounds are derived for the temporal evolution of the complexity for the entire system. The subsystem complexity is evaluated by employing the Fisher information geometry for the covariance matrices. We discuss numerical results for the temporal evolutions of the subsystem complexity for a block of consecutive sites in harmonic chains with either periodic or Dirichlet boundary conditions, comparing them with the temporal evolutions of the entanglement entropy. For infinite harmonic chains, the asymptotic value of the subsystem complexity is studied through the generalised Gibbs ensemble.

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