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Title: Approaching infinite temperature upon repeated measurements of a quantum system

Abstract

The influence of repeated projective measurements on the dynamics of the state of a quantum system is studied as a function of the time lag {tau} between successive measurements. In the limit of infinitely many measurements of the occupancy of a single state the total system approaches a uniform state. The asymptotic approach to this state is exponential in the case of finite Hilbert space dimension. The rate characterizing this approach undergoes a sharp transition from a monotonically increasing to an erratically varying function of the time between subsequent measurements.

Authors:
 [1];  [2]; ;  [3]
  1. Department of Physics, Pusan National University, Busan 609-735 (Korea, Republic of)
  2. (Germany)
  3. Institut fuer Physik, Universitaet Augsburg, Universitaetsstrasse 1, D-86135 Augsburg (Germany)
Publication Date:
OSTI Identifier:
22068642
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; ASYMPTOTIC SOLUTIONS; AUGMENTATION; HILBERT SPACE; QUANTUM MECHANICS

Citation Formats

Yi, Juyeon, Institut fuer Physik, Universitaet Augsburg, Universitaetsstrasse 1, D-86135 Augsburg, Talkner, Peter, and Ingold, Gert-Ludwig. Approaching infinite temperature upon repeated measurements of a quantum system. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.032121.
Yi, Juyeon, Institut fuer Physik, Universitaet Augsburg, Universitaetsstrasse 1, D-86135 Augsburg, Talkner, Peter, & Ingold, Gert-Ludwig. Approaching infinite temperature upon repeated measurements of a quantum system. United States. doi:10.1103/PHYSREVA.84.032121.
Yi, Juyeon, Institut fuer Physik, Universitaet Augsburg, Universitaetsstrasse 1, D-86135 Augsburg, Talkner, Peter, and Ingold, Gert-Ludwig. Thu . "Approaching infinite temperature upon repeated measurements of a quantum system". United States. doi:10.1103/PHYSREVA.84.032121.
@article{osti_22068642,
title = {Approaching infinite temperature upon repeated measurements of a quantum system},
author = {Yi, Juyeon and Institut fuer Physik, Universitaet Augsburg, Universitaetsstrasse 1, D-86135 Augsburg and Talkner, Peter and Ingold, Gert-Ludwig},
abstractNote = {The influence of repeated projective measurements on the dynamics of the state of a quantum system is studied as a function of the time lag {tau} between successive measurements. In the limit of infinitely many measurements of the occupancy of a single state the total system approaches a uniform state. The asymptotic approach to this state is exponential in the case of finite Hilbert space dimension. The rate characterizing this approach undergoes a sharp transition from a monotonically increasing to an erratically varying function of the time between subsequent measurements.},
doi = {10.1103/PHYSREVA.84.032121},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}