Dynamical typicality of quantum expectation values

Details Dynamical typicality of quantum expectation values Dynamical typicality of quantum expectation values

2009-02-05

arxiv.org/abs/0902.0927v1

Phys. Rev. Lett. 102, 110403 (2009)

Physics

Quantum Physics

4 pages, 1 figure, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.102.110403

We show that the vast majority of all pure states featuring a common expectation value of some generic observable at a given time will yield very similar expectation values of the same observable at any later time. This is meant to apply to Schroedinger type dynamics in high dimensional Hilbert spaces. As a consequence individual dynamics of expectation values are then typically well described by the ensemble average. Our approach is based on the Hilbert space average method. We support the analytical investigations with numerics obtained by exact diagonalization of the full time-dependent Schroedinger equation for some pertinent, abstract Hamiltonian model. Furthermore, we discuss the implications on the applicability of projection operator methods with respect to initial states, as well as on irreversibility in general.

Affiliated with

Also associated with

No associations

Rating

Dynamical typicality of quantum expectation values does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamical typicality of quantum expectation values, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical typicality of quantum expectation values will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-26106