Information-Theoretic Uncertainty Relation and Random-Phase Entropy
| Autor: | Kim, Kyoung Kon, Kim, Sang Pyo, Kang, Sok Kuh |
|---|---|
| Rok vydání: | 2010 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Dunkel and Trigger [Phys. Rev. A {71}, 052102 (2005)] show that the Leipnik's joint entropy monotonously increases for the initially maximally classical Gaussian wave packet for a free particle. After expressing the joint entropy of the general Gaussian wave packets for quadratic Hamiltonians as $S (t) = ln (e/2) + ln (2 Delta x (t) Delta p (t)/hbar)$, we show that a class of general Gaussian wave packets does not warrant the monotonous increase of the joint entropy. We propose that the random-phase entropy with respect to the squeeze angle always monotonously increases even for non-maximally classical states. Comment: RevTex 4 pages, 4 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|