Time-Dependent Density-Matrix Renormalization Group: A Systematic Method for the Study of Quantum Many-Body Out-of-Equilibrium Systems

M. A. Cazalilla and J. B. Marston
Phys. Rev. Lett. 88, 256403 – Published 6 June 2002
PDFExport Citation

Abstract

The density-matrix renormalization-group algorithm is extended to treat time-dependent problems. The method provides a systematic and robust tool to explore out-of-equilibrium phenomena in quantum many-body systems. We illustrate the method by showing that attractive interactions enhance the tunneling current between two Luttinger liquids, whereas repulsive interactions suppress it, in qualitative agreement with analytical predictions. Enhancement of the transport current through a quantum dot in the Kondo regime is also exhibited.

  • Received 17 September 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.256403

©2002 American Physical Society

Authors & Affiliations

M. A. Cazalilla

  • The Abdus Salam ICTP, Strada Costiera 11, 34014 Trieste, Italy
  • and Donostia International Physics Center (DIPC), Manuel de Lardizabal 4, 20018 Donostia, Spain

J. B. Marston

  • Department of Physics, Brown University, Providence, Rhode Island 02912-1843

Comments & Replies

Comment on “Time-Dependent Density-Matrix Renormalization Group: A Systematic Method for the Study of Quantum Many-Body Out-of-Equilibrium Systems”

H. G. Luo, T. Xiang, and X. Q. Wang
Phys. Rev. Lett. 91, 049701 (2003)

Cazalilla and Marston Reply:

M. A. Cazalilla and J. B. Marston
Phys. Rev. Lett. 91, 049702 (2003)

References (Subscription Required)

Click to Expand
Issue

Vol. 88, Iss. 25 — 24 June 2002

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
×