Stability of quantum states of finite macroscopic systems against classical noises, perturbations from environments, and local measurements

Details Stability of quantum states of finite macroscopic systems against classical noises, perturbations from environments, and local measurements Stability of quantum states of finite macroscopic systems against classical noises, perturbations from environments, and local measurements

2002-03-21

arxiv.org/abs/quant-ph/0203106v2

Phys.Rev.Lett.89:270403,2002

Physics

Quantum Physics

6 pages, no figure.Proof of the theorem is described in the revised manuscript

Scientific paper

10.1103/PhysRevLett.89.270403

We study the stability of quantum states of macroscopic systems of finite volume V, against weak classical noises (WCNs), weak perturbations from environments (WPEs), and local measurements (LMs). We say that a pure state is `fragile' if its decoherence rate is anomalously great, and `stable against LMs' if the result of a LM is not affected by another LM at a distant point. By making full use of the locality and huge degrees of freedom, we show the following: (i) If square fluctuation of every additive operator is O(V) or less for a pure state, then it is not fragile in any WCNs or WPEs. (ii) If square fluctuations of some additive operators are O(V^2) for a pure state, then it is fragile in some WCNs or WPEs. (iii) If a state (pure or mixed) has the `cluster property,' then it is stable against LMs, and vice versa. These results have many applications, among which we discuss the mechanism of symmetry breaking in finite systems.

Affiliated with

Also associated with

No associations

Rating

Stability of quantum states of finite macroscopic systems against classical noises, perturbations from environments, and local measurements 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 Stability of quantum states of finite macroscopic systems against classical noises, perturbations from environments, and local measurements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of quantum states of finite macroscopic systems against classical noises, perturbations from environments, and local measurements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-665321