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This paper presents a simple model for repeated measurement of a quantum system: the evolution of a free particle, simulated by discretising the particle's position. This model is easily simulated by computer and provides a useful arena to…

Quantum Physics · Physics 2009-11-06 David Wallace

The evolution of a quantum system is supposed to be impeded by measurement of an involved observable. This effect has been proven indistinguishable from the effect of dephasing the system's wave function, except in an individual quantum…

Quantum Physics · Physics 2009-11-07 Chr. Balzer , R. Huesmann , W. Neuhauser , P. E. Toschek

The quantum Zeno effect, in its original form, uses frequent projective measurements to freeze the evolution of a quantum system that is initially governed by a fixed Hamiltonian. We generalize this effect simultaneously in three directions…

Mathematical Physics · Physics 2021-04-09 Tim Möbus , Michael M. Wolf

The dynamics of a quantum system undergoing frequent "measurements", leading to the so-called quantum Zeno effect, is examined on the basis of a neutron-spin experiment recently proposed for its demonstration. When the spatial degrees of…

Quantum Physics · Physics 2009-10-31 Ken Machida , Hiromichi Nakazato , Saverio Pascazio , Helmut Rauch , Sixia Yu

In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates. The effect is conventionally controlled by the measurement frequency.…

Quantum Physics · Physics 2020-10-06 Kyrylo Snizhko , Parveen Kumar , Alessandro Romito

We provide a general dynamical approach for the quantum Zeno and anti-Zeno effects in an open quantum system under repeated non-demolition measurements. In our approach the repeated measurements are described by a general dynamical model…

Quantum Physics · Physics 2015-03-19 Peng Zhang , Qing Ai , Yong Li , D. Z. Xu , C. P. Sun

We experimentally demonstrate a new dynamic fashion of quantum Zeno effect in nuclear magnetic resonance systems. The frequent measurements are implemented through quantum entanglement between the target qubit(s) and the measuring qubit,…

Quantum Physics · Physics 2013-04-01 Wenqiang Zheng , D. Z. Xu , Xinhua Peng , Xianyi Zhou , Jiangfeng Du , C. P. Sun

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…

Quantum Physics · Physics 2015-06-26 Chr. Wunderlich , Chr. Balzer , P. E. Toschek

In this paper, we show that the quantum Zeno effect occurs for any frequent quantum measurements or operations. As a result of the Zeno effect, for non-selective measurements (or trace preserving completely positive maps), the evolution of…

Quantum Physics · Physics 2015-03-24 Ying Li , David Herrera-Marti , Leong Chuan Kwek

We analyze some variants of the Zeno effect in which the frequent observation of the population of an intermediate state does not prevent the transition of the system from the initial state to a certain final state. This is achieved by…

Quantum Physics · Physics 2024-10-01 Julio Cuadrado , Alfredo Luis

If frequent measurements ascertain whether a quantum system is still in its initial state, transitions to other states are hindered and the quantum Zeno effect takes place. However, in its broader formulation, the quantum Zeno effect does…

Mathematical Physics · Physics 2009-03-20 P. Facchi , S. Pascazio

Frequent observation of a quantum system leads to quantum Zeno physics, where the system evolution is constrained to states commensurate with the measurement outcome. We show that, more generally, the system can evolve between such states…

Quantum Physics · Physics 2016-08-03 Thomas J. Elliott , Vlatko Vedral

The quantum Zeno effect freezes the evolution of a quantum system subject to frequent measure- ments. We apply a Fisher information analysis to show that because of this effect, a closed quantum system should be probed as rarely as possible…

Quantum Physics · Physics 2015-09-23 Alexander Holm Kiilerich , Klaus Mølmer

The quantum Zeno effect consists in the hindrance of the evolution of a quantum system that is very frequently monitored and found to be in its initial state at every single measurement. On the basis of the correct formula for the survival…

Quantum Physics · Physics 2009-10-30 Hiromichi Nakazato , Mikio Namiki , Saverio Pascazio , Helmut Rauch

The evolution of a quantum system undergoing very frequent measurements takes place in a subspace of the total Hilbert space (quantum Zeno effect). The dynamical properties of this evolution are investigated and several examples are…

Quantum Physics · Physics 2009-11-06 P. Facchi , V. Gorini , G. Marmo , S. Pascazio , E. C. G. Sudarshan

We analyze the quantum Zeno dynamics that takes place when a field stored in a cavity undergoes frequent interactions with atoms. We show that repeated measurements or unitary operations performed on the atoms probing the field state…

The temporal evolution of an unstable quantum mechanical system undergoing repeated measurements is investigated. In general, by changing the time interval between successive measurements, the decay can be accelerated (inverse quantum Zeno…

Quantum Physics · Physics 2009-11-06 P. Facchi , H. Nakazato , S. Pascazio

The time evolution of an unstable quantum mechanical system coupled with an external measuring agent is investigated. According to the features of the interaction Hamiltonian, a quantum Zeno effect (hindered decay) or an inverse quantum…

Quantum Physics · Physics 2010-01-31 P. Facchi , S. Pascazio

A "continuous measurement" Quantum Zeno Effect (QZE) in the context of trapped ions is predicted. We describe the physical system and study its exact time evolution showing the appearance of Zeno Phenomena. New indicators for the occurrence…

Quantum Physics · Physics 2009-11-07 B. Militello , A. Messina , A. Napoli

The evolution of a quantum system under observation becomes retarded or even impeded. We review this ``quantum Zeno effect'' in the light of the criticism that has been raised upon a previous attempt to demonstrate it, of later…

Quantum Physics · Physics 2009-11-06 Peter E. Toschek , Christof Wunderlich
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