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This paper is a pedagogical yet critical introduction to the quantum description of unstable systems, mostly at the level of a graduate quantum mechanics course. Quantum decays appear in many different fields of physics, and their…

量子物理 · 物理学 2019-01-30 Charis Anastopoulos

Results of theoretical studies of the quantum unstable systems caused that there are rather widespread belief that a universal feature od the quantum decay process is the presence of three time regimes of the decay process: the early time…

量子物理 · 物理学 2017-08-01 K. Urbanowski

We modify the theory of the Quantum Zeno Effect to make it consistent with the postulates of quantum mechanics. This modification allows one, throughout a sequence of observations of an excited system, to address the nature of the…

量子物理 · 物理学 2022-07-26 P. W. Bryant

We explore a possibility of measuring deviation from the exponential decay law in pure quantum systems. The power law behavior at late times of decay time profile is predicted in quantum mechanics, and has been experimentally attempted to…

量子物理 · 物理学 2022-07-13 A. Yoshimi , M. Tanaka , M. Yoshimura

An unstable quantum state generally decays following an exponential law, as environmental decoherence is expected to prevent the decay products from recombining to reconstruct the initial state. Here we show the existence of deviations from…

量子物理 · 物理学 2017-10-02 M. Beau , J. Kiukas , I. L. Egusquiza , A. del Campo

Open quantum-system dynamics can follow exponential decay, non-exponential relaxation, or oscillatory dynamics, depending on the system-environment coupling. We study a lattice with a boundary defect that transitions between these regimes,…

The spontaneous decay of an excited atom by photon emission is one of the most common and elementary physical process present in nature and in laboratories. The decay is random in time with constant probability density, as it can be…

量子物理 · 物理学 2025-11-25 Marcello Baldo

Time evolution of the decay process of unstable particles is investigated in field theory models. We first formulate how to renormalize the non-decay amplitude beyond perturbation theory and then discuss short-time behavior of very…

高能物理 - 唯象学 · 物理学 2009-10-30 I. Joichi , Sh. Matsumoto , M. Yoshimura

The short-time behavior of quantum decay of an unstable state initially located within an interaction region of finite range is investigated using a resonant expansion of the survival amplitude. It is shown that in general the short-time…

量子物理 · 物理学 2013-02-15 Sergio Cordero , Gastón García-Calderón

While exponential decay is ubiquitous in Nature, deviations at both short and long times are dictated by quantum mechanics. Non-exponential decay is known to arise due to the possibility of reconstructing the initial state from the decaying…

量子物理 · 物理学 2012-03-26 A. del Campo

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…

量子物理 · 物理学 2009-11-06 P. Facchi , H. Nakazato , S. Pascazio

We investigate the spontaneous emission of a two-level system coupled to a photonic waveguide, showing that dynamical dephasing in the photon modes profoundly alters the decay law. In the absence of dephasing, the emitter displays…

量子物理 · 物理学 2026-01-12 Stefano Longhi

We report the first observation of the Quantum Zeno and Anti-Zeno effects in an unstable system. Cold sodium atoms are trapped in a far-detuned standing wave of light that is accelerated for a controlled duration. For a large acceleration…

量子物理 · 物理学 2009-11-07 M. C. Fischer , B. Gutierrez-Medina , M. G. Raizen

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…

量子物理 · 物理学 2009-11-07 Chr. Balzer , R. Huesmann , W. Neuhauser , P. E. Toschek

We study the decay process of an unstable quantum system, especially the deviation from the exponential decay law. We show that the exponential period no longer exists in the case of the s-wave decay with small $Q$ value, where the $Q$…

量子物理 · 物理学 2009-11-10 Toshifumi Jittoh , Shigeki Matsumoto , Joe Sato , Yoshio Sato , Koujin Takeda

We use (nonconservative) dynamical semigroups to investigate the decay law of a quantum unstable system weakly coupled with a large environment. We find that the deviations from the classical exponential law are small and can be safely…

高能物理 - 理论 · 物理学 2009-10-31 F. Benatti , R. Floreanini

We present a detailed non-perturbative analysis of the time-evolution of a well-known quantum-mechanical system - a particle between potential walls - describing the decay of unstable states. For sufficiently high barriers, corresponding to…

量子物理 · 物理学 2010-12-14 U. G. Aglietti , P. M. Santini

The decay of a quasiparticle in an isolated quantum dot is considered. At relatively small time the probability to find the system in the initial state decays exponentially: $P(t)\sim \exp(-\Gamma t)$, in accordance with the golden rule.…

介观与纳米尺度物理 · 物理学 2007-05-23 P. G. Silvestrov

The decay of photoexcited quantum systems (examples are photodissociation of molecules and autoionization of atoms) can be viewed as a half-collision process (an incoming photon excites the system which subsequently decays by dissociation…

无序系统与神经网络 · 物理学 2009-11-10 T. Gorin , B. Mehlig , W. Ihra

After reviewing the description of an unstable state in the framework of Lee Hamiltonians (valid both for Quantum Mechanics (QM) and Quantum Field Theory (QFT)), we consider some theoretical aspects of non-exponential decays: the case of…

量子物理 · 物理学 2017-11-22 Francesco Giacosa
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