Classical Hamiltonian description of a two-level quantum system: The quantum Zeno effect

1998 ◽  
Vol 119 (3-4) ◽  
pp. 239-249 ◽  
Author(s):  
Gilbert Reinisch
Keyword(s):  
Quantum System ◽  
Quantum Zeno Effect ◽  
Hamiltonian Description ◽  
Zeno Effect

scholarly journals Discrete optical Zeno effect for polarization of light

2021 ◽  
Vol 2086 (1) ◽  
pp. 012167
Author(s):  
K O Sedykh ◽  
D V Sych
Keyword(s):  
Quantum System ◽  
Linear Polarization ◽  
Success Probability ◽  
Quantum Measurements ◽  
Quantum Zeno Effect ◽  
Deterministic Dynamics ◽  
Zeno Effect ◽  
Polarization Of Light

Abstract Quantum Zeno effect concerns deterministic dynamics of a quantum system induced by a series of projective quantum measurements. Applying this effect in optics, one can achieve an arbitrary lossless transformation of linear polarization of light with help of linear polarizers. However, to demonstrate this effect in practice, we have to take into account unavoidable losses in each polarizer that limits probability of successful transformations. In this work, we theoretically study a realistic quantum Zeno effect with an optimal discrete set of polarizers and find the maximum success probability

scholarly journals QUANTUM ZENO EFFECT AND THE DETECTION OF GRAVITOMAGNETISM

2001 ◽  
Vol 10 (01) ◽  
pp. 9-14 ◽  
Author(s):  
A. CAMACHO
Keyword(s):  
Quantum System ◽  
Continuous Measurement ◽  
Quantum Zeno Effect ◽  
Zeno Effect ◽  
The Earth ◽  
Gravitomagnetic Field

In this work we introduce two experimental proposals that could shed some light upon the inertial properties of intrinsic spin. In particular we will analyze the role that the gravitomagnetic field of the Earth could have on a quantum system with spin 1/2. We will deduce the expression for Rabi transitions, which depend, explicitly, on the coupling between the spin of the quantum system and the gravitomagnetic field of the Earth. Afterwards, the continuous measurement of the energy of the spin-1/2 system is considered, and an expression for the emerging quantum Zeno effect is obtained. Thus, it will be proved that gravitomagnetism, in connection with spin-1/2 systems, could induce not only Rabi transitions but also a quantum Zeno effect.

scholarly journals Evolution of an Atom Impeded by Measurement: The Quantum Zeno Effect

2001 ◽  
Vol 56 (1-2) ◽  
pp. 160-164 ◽  
Author(s):  
Chr. Wunderlich ◽  
Chr. Balzer ◽  
P. E. Toschek
Keyword(s):  
Quantum System ◽  
Quantum State ◽  
Recent Experiment ◽  
Previous Attempt ◽  
Quantum Zeno Effect ◽  
Trapped Ion ◽  
Zeno Effect

Abstract A quantum system being observed evolves more slowly. This "quantum Zeno effect" is reviewed with respect to a previous attempt of demonstration, and to subsequent criticism of the significance of the findings. A recent experiment on an individual cold trapped ion has been capable of revealing the micro-state of this quantum system, such that the effect of measurement is indeed discriminated from dephasing of the quantum state by either the meter or the environment.

THE QUANTUM ZENO EFFECT – A MATTER OF DYNAMICS, INFORMATION OR ILLUSION?

2006 ◽  
Vol 20 (11n13) ◽  
pp. 1513-1527 ◽  
Author(s):  
PETER E. TOSCHEK
Keyword(s):  
Quantum System ◽  
Paul Trap ◽  
Quantum Evolution ◽  
Quantum Zeno Effect ◽  
Experimental Proof ◽  
Measuring Device ◽  
Zeno Effect ◽  
The Past ◽  
Ion Laser ◽  
Loss Of Coherence

Reiterated or continuous measurement on a quantum system impedes the quantum object's evolution. This "quantum Zeno" effect (QZE), contemplated for decades, has been conventionally attributed to the reaction of the measuring device on the quantum object being measured, in the sense of the Heisenberg microscope. However, even reactionless "quantum non-demolition" measurements seem to qualify for that inhibition to take place and may constitute a "quantum Zeno paradox" (QZP). An experimental proof of QZE had been attempted in the past on clouds of ions confined in a Paul trap. In the meantime it has been shown, however, that the anticipated impediment of the quantum evolution by a sheer gain of information, i.e. by reactionless measurement cannot be, in principle, proven with an ensemble. Recently, experiments have been performed with the use of a single quantum system: an 172Yb+ ion, laser-driven on its E2 line S1/2 - D5/2, or an 171Yb+ ion, microwave-driven on its ground-state hyperfine resonance. The results of these experiments demonstrate that mere gain of information on the quantum system, while lacking dynamic action, modifies the system's evolution as it is predicted by quantum mechanics, based on the system's preparation. This seems plausible if we attribute reality to the results of the measurements. If, in contrast, reality is claimed for the prediction, two-fold discontinuity must be admitted: loss of coherence with potential measurements, and renormalization from the results of actual measurements.

scholarly journals Quantum Zeno effect in self-sustaining systems: Suppressing phase diffusion via repeated measurements

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
Wenlin Li ◽  
Najmeh Es'haqi-Sani ◽  
Wen-Zhao Zhang ◽  
David Vitali
Keyword(s):  
Repeated Measurements ◽  
Quantum Zeno Effect ◽  
Phase Diffusion ◽  
Zeno Effect

scholarly journals Quantum Zeno effect in a nonlinear coupler

2001 ◽  
Vol 91 (4) ◽  
pp. 501-507 ◽  
Author(s):  
J. Řeháček ◽  
J. Peřina ◽  
P. Facchi ◽  
S. Pascazio ◽  
L. Mišta
Keyword(s):  
Quantum Zeno Effect ◽  
Zeno Effect ◽  
Nonlinear Coupler

scholarly journals Understanding the quantum Zeno effect

1996 ◽  
Vol 217 (4-5) ◽  
pp. 203-208 ◽  
Author(s):  
Hiromichi Nakazato ◽  
Mikio Namiki ◽  
Saverio Pascazio ◽  
Helmut Rauch
Keyword(s):  
Quantum Zeno Effect ◽  
Zeno Effect
Sign in / Sign up

Export Citation Format

Share Document