skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quantum Anti-Zeno Paradox

Abstract

We establish an exact differential equation for the operator describing time-dependent measurements continuous in time and obtain a series solution. Suppose the projection operator E(t)=U(t)EU{sup {dagger}}( t) is measured continuously from t=0 to T , where E is a projector leaving the initial state unchanged and U(t) a unitary operator obeying U(0)=1 . We prove that the probability of always finding E(t)=1 from t=0 to T is unity. If U(t){ne}1 , the watched kettle is sure to ''boil.'' (c) 2000 The American Physical Society.

Authors:
 [1];  [2]
  1. Department of Physics, Syracuse University, Syracuse, New York 13244 (United States)
  2. Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, (India)
Publication Date:
OSTI Identifier:
20216328
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 84; Journal Issue: 18; Other Information: PBD: 1 May 2000; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM MECHANICS; PROJECTION OPERATORS; PROBABILITY; PROPAGATOR; SCHROEDINGER PICTURE; DENSITY MATRIX; THEORETICAL DATA

Citation Formats

Balachandran, A. P., and Roy, S. M. Quantum Anti-Zeno Paradox. United States: N. p., 2000. Web. doi:10.1103/PhysRevLett.84.4019.
Balachandran, A. P., & Roy, S. M. Quantum Anti-Zeno Paradox. United States. doi:10.1103/PhysRevLett.84.4019.
Balachandran, A. P., and Roy, S. M. Mon . "Quantum Anti-Zeno Paradox". United States. doi:10.1103/PhysRevLett.84.4019.
@article{osti_20216328,
title = {Quantum Anti-Zeno Paradox},
author = {Balachandran, A. P. and Roy, S. M.},
abstractNote = {We establish an exact differential equation for the operator describing time-dependent measurements continuous in time and obtain a series solution. Suppose the projection operator E(t)=U(t)EU{sup {dagger}}( t) is measured continuously from t=0 to T , where E is a projector leaving the initial state unchanged and U(t) a unitary operator obeying U(0)=1 . We prove that the probability of always finding E(t)=1 from t=0 to T is unity. If U(t){ne}1 , the watched kettle is sure to ''boil.'' (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevLett.84.4019},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 18,
volume = 84,
place = {United States},
year = {2000},
month = {5}
}