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Measurement quantum mechanics, the theory of a quantum system which undergoes a measurement process, is introduced by a loop of mathematical equivalencies connecting previously proposed approaches. The unique phenomenological parameter of…

Condensed Matter · Physics 2009-10-28 Carlo Presilla , Roberto Onofrio , Ubaldo Tambini

It is well known that repeated projective measurements can either speed up (the Zeno effect) or slow down (the anti-Zeno effect) quantum evolution. Until now, however, studies of these effects for a two-level system interacting strongly…

Quantum Physics · Physics 2021-12-10 Ghazi Khan , Hudaiba Soomro , Muhammad Usman Baig , Irfan Javed , Adam Zaman Chaudhry

For quantum effects $a$ and $b$ we define the $a$-evolution of $b$ at time $t$ denoted by $b(t\mid a)$. We interpret $b(t\mid a)$ as the influence that $a$ has on $b$ at time $t$ when $a$ occurs, but is not measured at time $t=0$. Using…

Quantum Physics · Physics 2021-05-18 Stan Gudder

Continuously monitoring a quantum system can strongly affect its properties and even suppress its coherent evolution via the Quantum Zeno effect. Well understood for few body quantum systems, the role of quantum measurements on entangled…

Strongly Correlated Electrons · Physics 2025-07-09 Matthieu Vanhoecke , Marco Schirò

We consider a driven 2-level system with one level showing spontaneous decay to an otherwise uncoupled third level. Rabi transitions to the unstable level are strongly damped. This simple configuration can be used to demonstrate and to…

Quantum Physics · Physics 2009-10-31 J. Audretsch , M. B. Mensky , A. D. Panov

In this work, we study the decay behavior of a two-level system under the competing influence of a dissipative environment and repetitive measurements. The sign of the second derivative of the environmental spectral density function with…

Quantum Physics · Physics 2018-07-30 Jia-Ming Zhang , Jun Jing* , Li-Gang Wang , Shi-Yao Zhu

We perform stochastic simulations of the quantum Zeno and anti-Zeno effects for two level system and for the decaying one. Instead of simple projection postulate approach, a more realistic model of a detector interacting with the…

Quantum Physics · Physics 2007-05-23 J. Ruseckas , B. Kaulakys

The quantum Zeno effect (QZE) predicts a slow-down of the time development of a system under rapidly repeated ideal measurements, and experimentally this was tested for an ensemble of atoms using short laser pulses for non-selective state…

Quantum Physics · Physics 2008-11-26 Almut Beige , Gerhard C. Hegerfeldt

A complete suppression of the exponential decay in a qubit (interacting with a squeezed vacuum reservoir) can be achieved by frequent measurements of adequately chosen observables. The observables and initial states (Zeno subspace) for…

Quantum Physics · Physics 2013-02-12 Md. Manirul Ali , Po-Wen Chen , Alec Maassen van den Brink , Hsi-Sheng Goan

The study of the physical properties of open quantum systems is at the heart of many present investigations which aim to describe their dynamical evolution, on theoretical ground and through physical realizations. Here we develop a…

Quantum Physics · Physics 2021-11-23 Tarek Khalil , Jean Richert

Simply speaking quantum Zeno effect for an unstable quantum system represents total decay probability decrease by frequent decay detection. Analogously simply speaking quantum anti-Zeno effect for an unstable quantum system represents total…

Quantum Physics · Physics 2024-04-29 Vladan Pankovic

We demonstrate that repeated measurements in disordered systems can induce quantum anti-Zeno effect under certain condition to enhance quantum transport. The enhancement of energy transfer is really exhibited with a simple model under…

Quantum Physics · Physics 2010-12-30 Keisuke Fujii , Katsuji Yamamoto

An exactly-solvable model for the decay of a metastable state coupled to a semi-infinite tight-binding lattice, showing large deviations from exponential decay in the strong coupling regime, is presented. An optical realization of the…

Quantum Physics · Physics 2009-11-13 Stefano Longhi

A closed-trajectory evolution of a quantum state generally imprints a phase that contains both dynamical and geometrical contributions. While dynamical phases depend on the reference system, geometric phase factors are uniquely defined by…

Quantum Physics · Physics 2019-10-18 H. V. Do , M. Gessner , F. S. Cataliotti , A. Smerzi

We consider abstract evolution equations with on-off time delay feedback. Without the time delay term, the model is described by an exponentially stable semigroup. We show that, under appropriate conditions involving the delay term, the…

Analysis of PDEs · Mathematics 2017-02-12 Cristina Pignotti

We study properties of moving relativistic quantum unstable systems. We show that in contrast to the properties of classical particles and quantum stable objects the velocity of moving freely relativistic quantum unstable systems can not be…

General Physics · Physics 2016-01-05 K. Urbanowski

The quantum Zeno effect is recast in terms of an adiabatic theorem when the measurement is described as the dynamical coupling to another quantum system that plays the role of apparatus. A few significant examples are proposed and their…

Quantum Physics · Physics 2009-11-07 P. Facchi , S. Pascazio

We address the problem of assessing the coherent character of physical evolution. We take the quantum Zeno effect (QZE) as a characteristic trait of quantum dynamics, and derive relations among transfer rates as a function of the strength…

Quantum Physics · Physics 2015-06-18 Alex Monras , Agata Chȩcińska , Artur Ekert

Frequent Measurements on an unstable particle located at observable initial state freeze the particle on this state, known as quantum Zeno effect [1-14]. Measurements on an observable subspace further open the prelude of quantum Zeno…

Quantum Physics · Physics 2017-02-03 Tung-Ho Shieh , Kun-Yuan Wu , Hsiu-Fen Kao , Kuan-Ming Hung

We analyze the short-time behavior of the survival probability in the frame of the Friedrichs model for different formfactors. We have shown that this probability is not necessary analytic at the time origin. The time when the quantum Zeno…

Quantum Physics · Physics 2009-11-06 I. Antoniou , E. Karpov , G. Pronko , E. Yarevsky