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Open Quantum Systems Decoherence Quantum Simulation

Approximating observables on eigenstates of large many-body localized systems

arXiv
Authors: Abishek K. Kulshreshtha, Arijeet Pal, Thorsten B. Wahl, Steven H. Simon

Year

2018

Paper ID

23653

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

Eigenstates of fully many-body localized (FMBL) systems can be organized into spin algebras based on quasilocal operators called l-bits. These spin algebras define quasilocal l-bit measurement $τzi$ and l-bit flip $τxi$ operators. For a disordered Heisenberg spin chain in the MBL regime we approximate l-bit flip operators by finding them exactly on small windows of systems and extending them onto the whole system by exploiting their quasilocal nature. We subsequently use these operators to represent approximate eigenstates. We then describe a method to calculate products of local observables on these eigenstates for systems of size L in O\(L2\) time. This algorithm is used to compute the error of the approximate eigenstates.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2018 reference point for readers tracking recent quantum research.
  • Eigenstates of fully many-body localized (FMBL) systems can be organized into spin algebras based on quasilocal operators called l-bits.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1811.00442 [2] arXiv https://arxiv.org/abs/1811.00442 [3] Publisher https://arxiv.org/abs/1811.00442

Local Citation Graph (Related-Paper Links)

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