English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Matrix product states approaches to operator spreading in ergodic quantum systems

Hemery, K., Pollmann, F., & Luitz, D. J. (2019). Matrix product states approaches to operator spreading in ergodic quantum systems. Physical Review B, 100(10): 104303. doi:10.1103/PhysRevB.100.104303.

Item is

Files

show Files
hide Files
:
1901.05793.pdf (Preprint), 901KB
Name:
1901.05793.pdf
Description:
-
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Hemery, Kevin1, Author
Pollmann, Frank1, Author
Luitz, David J.2, Author           
Affiliations:
1external, ou_persistent22              
2Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

Content

show
hide
Free keywords: -
 MPIPKS: Strongly correlated electrons
 Abstract: We review different matrix-product-state (MPS) approaches to study the spreading of operators in generic nonintegrable quantum systems. As a common ground to all methods, we quantify this spreading by means of the Frobenius norm of the commutator of a spreading operator with a local operator, which is usually referred to as the out-of-time-order correlation (OTOC) function. We compare two approaches based on matrix-product states in the Schrodinger picture: the time-dependent block decimation (TEBD) and the time-dependent variational principle (TDVP), as well as TEBD based on matrix-product operators directly in the Heisenberg picture. The results of all methods are compared to numerically exact results using Krylov space exact time evolution. We find that for the Schrodinger picture, the TDVP algorithm performs better than the TEBD algorithm.
Moreover, the tails of the OTOC are accurately obtained both by TDVP MPS and TEBD MPO. They are in very good agreement with exact results at short times, and appear to be converged in bond dimensions even at longer times. However, the growth and saturation regimes are not well captured by either of the methods.

Details

show
hide
Language(s):
 Dates: 2019-09-112019-09-01
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 100 (10) Sequence Number: 104303 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008