Steady States of Infinite-Size Dissipative Quantum Chains via Imaginary Time Evolution

Adil A. Gangat, Te I, and Ying-Jer Kao
Phys. Rev. Lett. 119, 010501 – Published 5 July 2017
PDFHTMLExport Citation

Abstract

Directly in the thermodynamic limit, we show how to combine local imaginary and real-time evolution of tensor networks to efficiently and accurately find the nonequilibrium steady states (NESSs) of one-dimensional dissipative quantum lattices governed by a local Lindblad master equation. The imaginary time evolution first bypasses any highly correlated portions of the real-time evolution trajectory by directly converging to the weakly correlated subspace of the NESS, after which, real-time evolution completes the convergence to the NESS with high accuracy. We demonstrate the power of the method with the dissipative transverse field quantum Ising chain. We show that a crossover of an order parameter shown to be smooth in previous finite-size studies remains smooth in the thermodynamic limit.

  • Figure
  • Figure
  • Received 31 August 2016

DOI:https://doi.org/10.1103/PhysRevLett.119.010501

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Adil A. Gangat1, Te I1, and Ying-Jer Kao1,2,*

  • 1Department of Physics, and Center for Theoretical Sciences, National Taiwan University, Taipei 10607, Taiwan
  • 2National Center for Theoretical Sciences, National Tsing Hua University, Hsinchu 30013, Taiwan

  • *yjkao@phys.ntu.edu.tw

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 119, Iss. 1 — 7 July 2017

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×