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The Zeno effect, in which repeated observation freezes the dynamics of a quantum system, stands as an iconic oddity of quantum mechanics. When a measurement is unable to distinguish between states in a subspace, the dynamics within that…

The time evolution of some quantum states can be slowed down or even stopped under frequent measurements. This is the usual quantum Zeno effect. Here, we report an operator quantum Zeno effect, in which the evolution of some physical…

Quantum Physics · Physics 2013-03-12 Shu-Chao Wang , Ying Li , Xiang-Bin Wang , Leong Chuan Kwek

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

Quantum mechanical wave functions have phases. These phases either initial or acquired during time evolution usually do not enter the final expressions for observable physical quantities. Nevertheless in many cases the observable physical…

General Physics · Physics 2021-08-17 S. V. Gantsevich

Quantum mechanics can emerge from classical statistics. A typical quantum system describes an isolated subsystem of a classical statistical ensemble with infinitely many classical states. The state of this subsystem can be characterized by…

Quantum Physics · Physics 2015-05-13 C. Wetterich

A new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level surface of the expectation value of the Hamiltonian. The…

Quantum Physics · Physics 2007-10-25 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

The basic requirement that, in quantum theory, the time-evolution of any state is determined by the action of a unitary operator, is shown to be the underlying cause for certain ``exact'' results which have recently been reported about the…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. K. Kabir , A. Pilaftsis

A general treatment of the quantum Zeno and anti-Zeno effects is presented which is valid for an arbitrary system-environment model in the weak system-environment coupling regime. It is shown that the effective lifetime of a quantum state…

Quantum Physics · Physics 2016-04-25 Adam Zaman Chaudhry

We propose an exercise in which one attempts to deduce the formalism of quantum mechanics solely from phenomenological observations. The only assumed inputs are obtained through sequential probing of quantum systems; no presuppositions…

The framework to describe natural phenomena at their basics being quantum mechanics, there exist a large number of common global phenomena occurring in different branches of natural sciences. One such global phenomenon is spontaneous…

Nuclear Theory · Physics 2009-11-10 N. G. Kelkar , M. Nowakowski , K. P. Khemchandani

This study aims to address the nature of state change, measurement, and probabilistic outcomes in non-relativistic quantum mechanics. We consider a pair of particles that interact in a one-dimensional setting via a delta-function potential.…

Quantum Physics · Physics 2026-01-13 Olivia Pomerenk , Charles S. Peskin

Process of quantum tunneling of particles in various physical systems can be effectively controlled even by a weak and slow varying in time electromagnetic signal if to adapt specially its shape to a particular system. During an…

Quantum Physics · Physics 2009-02-05 B. I. Ivlev

GSI experiment studying oscillations in K-capture decay of radioactive ion investigates neutrino masses and mixing without detecting neutrino. Even when neutrino is not detected quantum mechanics relates initial and final states. The basic…

High Energy Physics - Phenomenology · Physics 2012-02-14 Harry J. Lipkin

We investigate the discrete-time quantum walk evolution under the influence of the periodic measurements in position subspace. The undisturbed survival probability of the particle at the position subspace, $P(0, t)$ is compared with the…

Quantum Physics · Physics 2010-11-10 C. M. Chandrashekar

Diagonalization of the effective Hamiltonian describing an open quantum system is the usual method of tracking its exceptional points. Although, such a method is successful for tracking EPs in Markovian systems, it may be problematic in…

Quantum Physics · Physics 2022-11-22 G. Mouloudakis , P. Lambropoulos

The decay of quasi-stable quantum system involves primarily an outgoing probability current density. However, during the transition from exponential to inverse-power-law decay there are time intervals during which this current, although…

Quantum Physics · Physics 2019-11-07 Wytse van Dijk , F. Masafumi Toyama

The mechanism of the transition of a dynamical system from quantum to classical mechanics is one of the remaining challenges of quantum theory. Currently, it is considered to occur via decoherence caused by entanglement and/or stochastic…

Quantum Physics · Physics 2015-06-16 John S. Briggs , James M. Feagin

The phenomenon of quantum interrogation allows one to optically detect the presence of an absorbing object, without the measuring light interacting with it. In an application of the quantum Zeno effect, the object inhibits the otherwise…

Quantum Physics · Physics 2009-10-31 P. G. Kwiat , A. G. White , J. R. Mitchell , O. Nairz , G. Weihs , H. Weinfurter , A. Zeilinger

A model multilevel molecule described by two sets of rotational internal energy levels of different parity and degenerate ground states, coupled by a constant interaction, is considered, by assuming that the random collisions in a gas of…

Quantum Physics · Physics 2013-05-31 Filippo Giraldi , Francesco Petruccione

Algorithmic approach is based on the assumption that any quantum evolution of many particle system can be simulated on a classical computer with the polynomial time and memory cost. Algorithms play the central role here but not the…

Quantum Physics · Physics 2007-05-23 Yuri Ozhigov