SubPlanck Structure, Decoherence, and ManyBody Environments
Abstract
In a recent paper [Nature 412, 712 (2001)], Zurek has argued that (1) time evolution typically causes chaotic quantum systems to generate structure that varies on the scale of phasespace volume elements of size $(\hbar^2/A)^d$, where A is a classical action characteristic of the state and d is the number of degrees of freedom, and that (2) this structure implies that a small change in a phasespace coordinate X by an amount $\delta X \sim \hbar X/A$ generically results in an orthogonal state. While we agree with (1), we argue that (2) is not correct if the number of degrees of freedom is small. Our arguments are based on the BerryVoros ansatz for the structure of energy eigenstates in chaotic systems. We find, however, that (2) becomes valid if the number of degrees of freedom is large. This implies that manybody environments may be crucial for the phenomenon of quantum decoherence.
 Publication:

arXiv eprints
 Pub Date:
 December 2001
 arXiv:
 arXiv:quantph/0112139
 Bibcode:
 2001quant.ph.12139J
 Keywords:

 Quantum Physics
 EPrint:
 6 pages