Details
| Original language | English |
|---|---|
| Pages (from-to) | 13-28 |
| Number of pages | 16 |
| Journal | European Physical Journal: Special Topics |
| Volume | 151 |
| Publication status | Published - Dec 2007 |
| Externally published | Yes |
Abstract
The time-convolutionless (TCL) projection operator technique allows a systematic analysis of the dynamical properties of open quantum systems. Unfortunately, using the standard projector to investigate the decay to equilibrium fails to describe the dynamics of a small system coupled to a finite environment correctly.However, a recently introduced correlated projection operator leads to the appropriate dynamical behavior and shows a reasonable good agreement with the exact Schrödinger dynamics.Furthermore, a similar projector can be used to describe the transport through a quantum system.Using the technique in Fourier space allows for a detailed analysis of transport in the context of its length scale dependence as well.Finally, the method is also applicable to realistic systems, e.g., spin models.
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Physics and Astronomy(all)
- General Physics and Astronomy
- Chemistry(all)
- Physical and Theoretical Chemistry
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In: European Physical Journal: Special Topics, Vol. 151, 12.2007, p. 13-28.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Correlated projection superoperators in relaxation and transport investigations
AU - Michel, M.
AU - Steinigeweg, R.
AU - Weimer, H.
N1 - Funding information: We thank H.-P. Breuer, J. Gemmer, G. Mahler and H.-J. Schmidt for fruitful discussions. Financial support by the “Deutsche Forschungsgemeinschaft” (DFG) is greatfully acknowledged.
PY - 2007/12
Y1 - 2007/12
N2 - The time-convolutionless (TCL) projection operator technique allows a systematic analysis of the dynamical properties of open quantum systems. Unfortunately, using the standard projector to investigate the decay to equilibrium fails to describe the dynamics of a small system coupled to a finite environment correctly.However, a recently introduced correlated projection operator leads to the appropriate dynamical behavior and shows a reasonable good agreement with the exact Schrödinger dynamics.Furthermore, a similar projector can be used to describe the transport through a quantum system.Using the technique in Fourier space allows for a detailed analysis of transport in the context of its length scale dependence as well.Finally, the method is also applicable to realistic systems, e.g., spin models.
AB - The time-convolutionless (TCL) projection operator technique allows a systematic analysis of the dynamical properties of open quantum systems. Unfortunately, using the standard projector to investigate the decay to equilibrium fails to describe the dynamics of a small system coupled to a finite environment correctly.However, a recently introduced correlated projection operator leads to the appropriate dynamical behavior and shows a reasonable good agreement with the exact Schrödinger dynamics.Furthermore, a similar projector can be used to describe the transport through a quantum system.Using the technique in Fourier space allows for a detailed analysis of transport in the context of its length scale dependence as well.Finally, the method is also applicable to realistic systems, e.g., spin models.
UR - http://www.scopus.com/inward/record.url?scp=40949134293&partnerID=8YFLogxK
U2 - 10.1140/epjst/e2007-00358-5
DO - 10.1140/epjst/e2007-00358-5
M3 - Article
AN - SCOPUS:40949134293
VL - 151
SP - 13
EP - 28
JO - European Physical Journal: Special Topics
JF - European Physical Journal: Special Topics
SN - 1951-6355
ER -