Simulating the out-of-equilibrium dynamics of local observables by trading entanglement for mixture

Research output: Contribution to journalArticle

Abstract

The fact that the computational cost of simulating a many-body quantum system on a computer increases with the amount of entanglement has been considered as the major bottleneck for simulating its out-of-equilibrium dynamics. Some aspects of the dynamics are, nevertheless, robust under appropriately devised approximations. Here we present a possible algorithm that allows to systematically approximate the equilibration value of local operators after a quantum quench. At the core of our proposal, there is the idea to transform entanglement between distant parts of the system into mixture, and at the same time preserving the local reduced density matrices of the system. We benchmark the resulting algorithm by studying quenches of quadratic fermionic Hamiltonians.

LanguageEnglish
Article number235115
Number of pages11
JournalPhysical Review B
Volume99
Issue number23
DOIs
Publication statusPublished - 7 Jun 2019

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Hamiltonians
preserving
proposals
costs
operators
approximation
Costs

Keywords

  • out-of-equilibrium dynamics
  • simulation
  • entangelment
  • quantum quench

Cite this

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Simulating the out-of-equilibrium dynamics of local observables by trading entanglement for mixture. / Surace, J.; Piani, M.; Tagliacozzo, L.

In: Physical Review B, Vol. 99, No. 23, 235115, 07.06.2019.

Research output: Contribution to journalArticle

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