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

Can Quantum Measurements Prevent Change?

2020 ◽  
pp. 166-184
Author(s):  
Gershon Kurizki ◽  
Goren Gordon
Keyword(s):  
Quantum State ◽  
High Probability ◽  
Quantum Measurements ◽  
Repeated Measurements ◽  
Quantum Zeno Effect ◽  
Initial State ◽  
Zeno Effect

In a strange dream, Henry is coherently transported towards his bride down the aisle. But just as a small portion of him arrives next to her, that portion disappears in a flash of light caused by a snapshot! Henry keeps trying to be united with his bride, but repeated snapshots cause Henry’s collapse to being far away from her. This dream illustrates the quantum Zeno effect (QZE): if a measurement collapses the quantum state with high probability to the initial state, then frequent repeated measurements can almost stop the change of the quantum state. Yet less frequent measurements cause the opposite, anti-Zeno effect (AZE), whereby change or decay increases. Thus, decay is controllable. These effects confirm Zeno’s argument that change is an illusion, as it is up to the observer to prevent or induce it by appropriate observation. The appendix to this chapter explains the QZE for coherent and decay processes.

scholarly journals Stochastic Process Emerged from Lattice Fermion Systems by Repeated Measurements and Long-Time Limit

Axioms ◽  
2020 ◽  
Vol 9 (3) ◽  
pp. 90
Author(s):  
Kazuki Yamaga
Keyword(s):  
Stochastic Process ◽  
Hamiltonian Dynamics ◽  
Repeated Measurements ◽  
Measurement Time ◽  
Initial Time ◽  
Quantum Zeno Effect ◽  
Zeno Effect ◽  
Fermion Systems ◽  
Lattice Fermion ◽  
Long Time

It is known that, in quantum theory, measurements may suppress Hamiltonian dynamics of a system. A famous example is the ‘Quantum Zeno Effect’. This is the phenomena that, if one performs the measurements M times asking whether the system is in the same state as the one at the initial time until the fixed measurement time t, then survival probability tends to 1 by taking the limit M→∞. This is the case for fixed measurement time t. It is known that, if one takes measurement time infinite at appropriate scaling, the ‘Quantum Zeno Effect’ does not occur and the effect of Hamiltonian dynamics emerges. In the present paper, we consider the long time repeated measurements and the dynamics of quantum many body systems in the scaling where the effect of measurements and dynamics are balanced. We show that the stochastic process, called the symmetric simple exclusion process (SSEP), is obtained from the repeated and long time measurements of configuration of particles in finite lattice fermion systems. The emerging stochastic process is independent of potential and interaction of the underlying Hamiltonian of the system.

scholarly journals The quantum Zeno and anti-Zeno effects with driving fields in the weak and strong coupling regimes

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Mehwish Majeed ◽  
Adam Zaman Chaudhry
Keyword(s):  
Decay Rate ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Repeated Measurements ◽  
Harmonic Oscillators ◽  
Level System ◽  
Quantum Zeno Effect ◽  
Strongly Coupled ◽  
Zeno Effect ◽  
Effective Decay

AbstractRepeated measurements in quantum mechanics can freeze (the quantum Zeno effect) or enhance (the quantum anti-Zeno effect) the time-evolution of a quantum system. In this paper, we present a general treatment of the quantum Zeno and anti-Zeno effects for arbitrary driven open quantum systems, assuming only that the system–environment coupling is weak. In particular, we obtain a general expression for the effective decay rate of a two-level system subjected to arbitrary driving fields as well as periodic measurements. We demonstrate that the driving fields change the decay rate, and hence the quantum Zeno and anti-Zeno behavior, both qualitatively and quantitatively. We also extend our results to systems consisting of more than one two-level system, as well as a two-level system strongly coupled to an environment of harmonic oscillators, to further illustrate the non-trivial effect of the driving fields on the quantum Zeno and anti-Zeno effects.

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
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