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Weak invariants are time-dependent observables with conserved expectation values. Their fluctuations, however, do not remain constant in time. On the assumption that time evolution of the state of an open quantum system is given in terms of…

量子物理 · 物理学 2020-10-27 Zeyi Shi , Sumiyoshi Abe

A semi-classical non-Hamiltonian model of a spontaneous collapse of unstable quantum system is given. The time evolution of the system becomes non-Hamiltonian at random instants of transition of pure states to reduced ones, given by a…

数学物理 · 物理学 2009-11-11 V. P. Belavkin , P. Staszewski

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.…

量子物理 · 物理学 2020-10-06 Kyrylo Snizhko , Parveen Kumar , Alessandro Romito

The quantum Zeno effect is a distinctive phenomenon in quantum mechanics, describing the nontrivial effect of frequent projective measurements on hindering the evolution of a quantum system. However, when subjected to environmental noise,…

量子物理 · 物理学 2024-12-05 Haorui Chen , Shengshi Pang

We discuss a simple and analytically solvable measurement model which describes the famous Quantum Zeno Effect (QZE) and Inverse Zeno Effect (IZE), that correspond to the slow down and to the increase of the decay rate caused by…

高能物理 - 唯象学 · 物理学 2020-08-26 Francesco Giacosa

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…

数学物理 · 物理学 2021-04-09 Tim Möbus , Michael M. Wolf

We study the exact entanglement dynamics of two atoms in a lossy resonator. Besides discussing the steady-state entanglement, we show that in the strong coupling regime the system-reservoir correlations induce entanglement revivals and…

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…

强关联电子 · 物理学 2025-07-09 Matthieu Vanhoecke , Marco Schirò

We study the dynamical stability of pulse coupled networks of leaky integrate-and-fire neurons against infinitesimal and finite perturbations. In particular, we compare current versus fluctuations driven networks, the former (latter) is…

无序系统与神经网络 · 物理学 2015-06-18 David Angulo-Garcia , Alessandro Torcini

We investigate the non-equilibrium dynamics of a class of isolated one-dimensional systems possessing two degenerate ground states, initialized in a low-energy symmetric phase. We report the emergence of a time-scale separation between fast…

We study the coexistence of the quantum Zeno effect and non-Markovianity for a system decaying in a structured bosonic environment and subject to a control field. The interaction with the environment induces decay from the excited to the…

量子物理 · 物理学 2016-02-04 Antti Karlsson , Francesco Francica , Jyrki Piilo , Francesco Plastina

Quantum mechanics predicts that the decay rate of unstable systems could be effectively modified by the process of the measurement of the survival probability. Depending on the intrinsic properties of the unstable system and the…

高能物理 - 唯象学 · 物理学 2020-03-11 Francesco Giacosa , Giuseppe Pagliara

A continuous projective measurement of a quantum system often leads to a suppression of the dynamics, known as the Zeno effect. Alternatively, generalized nonprojective, so-called "weak" measurements can be carried out. Such a measurement…

量子物理 · 物理学 2012-01-17 Adam Bednorz , Wolfgang Belzig , Abraham Nitzan

This paper studies the N-dimensional FENE dumbbell model without velocity dissipation, focusing on the stability and decay of perturbations near the steady solution $(0,\pin)$. Due to the lack of velocity dissipation, the above problems are…

偏微分方程分析 · 数学 2025-10-17 Zheng-an Yao , Ruijia Yu

We study the short-time and medium-time behavior of the survival probability of decaying states in the framework of the $N$-level Friedrichs model. The degenerated and nearly degenerated systems are discussed in detail. We show that in…

量子物理 · 物理学 2007-05-23 I. Antoniou , E. Karpov , G. Pronko , E. Yarevsky

According to quantum Zeno dynamics (QZD), the evolution of a quantum system can be restricted to a subspace of its Hilbert space by frequent measurements. A crucial question in QZD of a particle's position is: how short the time interval…

量子物理 · 物理学 2025-10-01 Varqa Abyaneh , Parsa Ghorbani

Transient electron dynamics and the Fano resonance formation over time in transport through a two quantum dot system in a T-shape geometry (2QD-T) are analysed for free electrons. Time evolution of the transport characteristics are…

介观与纳米尺度物理 · 物理学 2021-11-01 Grzegorz Michałek , Bogdan R. Bułka

We investigate the evolution of a quantum system under the influence of sequential measurements. The measurement scheme distinguishes whether or not the system is in a specified state $| {f_n}>$ at the $n^{\rm th}$ step, where $| {f_n}>$…

量子物理 · 物理学 2009-11-10 C. K. Law

We theoretically investigate the stochastic dynamics of two qubits subject to one- and two-site correlated continuous weak measurements. When measurements dominate over the local unitary evolution, the system's dynamics is constrained and…

量子物理 · 物理学 2025-04-01 Severino Zeni , Gobinda Chakraborty , Alessandro Romito , Alberto Biella

The temporal behavior of quantum mechanical systems is reviewed. We study the so-called quantum Zeno effect, that arises from the quadratic short-time behavior, and the analytic properties of the ``survival" amplitude. It is shown that the…

量子物理 · 物理学 2015-06-26 Hiromichi Nakazato , Mikio Namiki , Saverio Pascazio