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Related papers: Modified Fermi's golden rule rate expressions

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We formulate a method for incorporating quantum fluctuations into molecular- dynamics simulations of many-body systems, such as those employed for energetic nuclear collision processes. Based on Fermi's Golden Rule, we allow spontaneous…

Nuclear Theory · Physics 2009-10-28 Akira Ohnishi , Jorgen Randrup

We investigate experimentally a Fermi golden rule in two-edge and five-edge microwave networks with preserved time reversal invariance. A Fermi golden rule gives rates of decay of states obtained by perturbing embedded eigenvalues of graphs…

Quantum Physics · Physics 2021-08-19 Michał Ławniczak , Jiří Lipovský , Małgorzata Białous , Leszek Sirko

We shall revisit the conventional adiabatic or Markov approximation, showing its intrinsic failure in describing the proper quantum-mechanical evolution of a generic subsystem interacting with its environment. In particular, we shall show…

Quantum Physics · Physics 2007-05-23 Fausto Rossi

Classical and quantum phase transitions involve observables which are non-analytic as functions of a controlled thermodynamical variable. As occurs with the self-consistent Fermi Golden Rule, one condition to obtain the discontinuous…

Other Condensed Matter · Physics 2009-11-13 Horacio M. Pastawski

Many-body states described by a Schr\"{o}dinger equation include states of overlapping waves of non-vanishing interaction energies. These peculiar states formed in many-body transitions remain in asymptotic regions, and lead a new component…

High Energy Physics - Phenomenology · Physics 2020-06-24 Kenzo Ishikawa , Yutaka Tobita

We present a Gedankenexperiment that leads to a violation of detailed balance if quantum mechanical transition probabilities are treated in the usual way by applying Fermi's "golden rule". This Gedankenexperiment introduces a collection of…

Quantum Physics · Physics 2020-09-21 Daniel Braak , Jochen Mannhart

A novel and readily understandable derivation of the Golden Rule of time dependent perturbation theory is presented. The derivation is based on adiabatic turning on of the perturbation as used, for instance, in some formal developments of…

Quantum Physics · Physics 2020-06-24 M G Burt

Recent Fermi results have focused attention on gamma-ray burst's (GRB) prompt emission phase, which is rich in phenomenology and poorly understood. The broad band spectra observed by Fermi does not fit into any of the frameworks of existing…

High Energy Astrophysical Phenomena · Physics 2011-11-16 Asaf Pe'er

We suggest a straightforward approach to the calculation of the dephasing rate in a fermionic system, which correctly keeps track of the crucial physics of Pauli blocking. Starting from Fermi's golden rule, the dephasing rate can be written…

Mesoscale and Nanoscale Physics · Physics 2010-01-18 Doron Cohen , Jan von Delft , Florian Marquardt , Yoseph Imry

With the rapid development of nanophotonics and cavity quantum electrodynamics, there has been growing interest in how confined electromagnetic fields modify fundamental molecular processes such as electron transfer. In this paper, we…

Chemical Physics · Physics 2026-04-20 Wenxiang Ying , Abraham Nitzan

We point out an important hidden inconsistency in Fermi's probability of the quantum states that engendered inconsistent/inaccurate equations-of-state extensively used in the literature to model nonideal plasma systems. The importance of…

Plasma Physics · Physics 2015-05-30 Mofreh R. Zaghloul

The energy evolution of a quantum chaotic system under the perturbation that harmonically depends on time is studied for the case of large perturbation, in which the rate of transition calculated from the Fermi golden rule exceeds the…

Chaotic Dynamics · Physics 2009-11-11 P. V. Elyutin

We study the multi-periodic oscillations in the spontaneous emission rate of an atom in a medium with refractive index n sandwiched between two parallel mirrors. The oscillations are not obvious in the analytical formula for the rate…

Quantum Physics · Physics 2007-05-23 H. J. Zhao , M. L. Du

The Generalized Fermi Breakup recently demonstrated to be formally equivalent to the Statistical Multifragmentation Model, if the contribution of excited states are included in the state densities of the former, is implemented. Since this…

Nuclear Theory · Physics 2014-08-29 S. R. Souza , B. V. Carlson , R. Donangelo , W. G. Lynch , M. B. Tsang

This paper focuses on a class of nonlinear Klein-Gordon equations in three dimensions, which are Hamiltonian perturbations of the linear Klein-Gordon equation with potential. The unperturbed dynamical system has a bound state with frequency…

Analysis of PDEs · Mathematics 2022-09-22 Zhen Lei , Jie Liu , Zhaojie Yang

Conventionally, pumping relies on energetic resonance: energy quanta ${\hbar}{\omega}$ matches the gap $\Delta$. Under linear approximation, this is known as the Fermi golden rule (FGR). However, this principle becomes challenging to apply…

Quantum Physics · Physics 2024-08-05 B. Q. Song , J. D. H. Smith , Y. X. Yao , J. Wang

Fermi's golden rule applies to a situation in which a single quantum state $|\psi\rangle$ is coupled to a near-continuum. This "quasi-continuum coupling" structure results in a rate equation for the population of $|\psi\rangle$. Here we…

Quantum Physics · Physics 2017-11-30 Siddhartha Santra , Benjamin Cruikshank , Radhakrishnan Balu , Kurt Jacobs

A study is made of the behavior of unstable states in simple models which nevertheless are realistic representations of situations occurring in nature. It is demonstrated that a non-exponential decay pattern will ultimately dominate decay…

Quantum Physics · Physics 2007-05-23 C. Dullemond

Quantum reference frames are expected to differ from classical reference frames because they have to implement typical quantum features such as fluctuations and correlations. Here, we show that fluctuations and correlations of reference…

Quantum Physics · Physics 2023-01-03 Martin Bojowald , Artur Tsobanjan

In interacting quantum systems, the single-particle Green's function is expected to decay in time due to the interaction induced decoherence of quasiparticles. In the limit of weak interaction strengths ($\Delta$), a naive application of…

Quantum Physics · Physics 2025-08-04 Thomas Young , Jerome LLoyd , Curt von Keyserlingk