| | |
| | |
Stat |
Members: 3645 Articles: 2'506'133 Articles rated: 2609
26 April 2024 |
|
| | | |
|
Article overview
| |
|
Coherence theory and coherence phenomena in a closed spin 1/2 system | Olavi Dannenberg
; | Date: |
18 May 2006 | Abstract: | We study a simplified Heisenberg spin model in order to clarify the idea of decoherence in closed quantum systems. For this purpose, we define a new concept: the coherence function $Xi(t)$, which describes the dynamics of coherence in the whole system, and which is linked with the total coarse-grained (von Neumann) entropy of all particles. We discuss in some detail a general coherence theory and its elementary results. For example, in the particular setup, decoherence diagonalises reduced density matrices in all possible basis sets. As expected, decoherence is understood as a statistical process that is caused by the dynamics of the system, similar to entropy. Moreover, the concept of decoherence time is applicable in closed systems. However, in most cases, the decay of off-diagonal elements differs from the usual $exp(-t/ au_d)$ behaviour. We have solved the form of decoherence time $ au_d$ in an infinite Heisenberg model with respect to density $
ho$, spatial dimension $D$ and $epsilon$ in a $1/r^{epsilon}$ -type of potential. | Source: | arXiv, quant-ph/0605167 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |