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We investigate the dynamics of mechanical resonators subject to excitations comprising of an oscillating or harmonic part, whose amplitude decays exponentially in time. We call these complex frequency excitations and show that the resulting…

Classical Physics · Physics 2025-12-11 Wenbo Li , Skriptyan Syuhri , Pablo Tarazaga , Raj Kumar Pal

It is known that the asymptotic behavior of time-dependent dissipative coefficient in the Cauchy problem of dissipative wave equation dominates the energy decay estimate. In particular, it is important to study the case where the…

Analysis of PDEs · Mathematics 2025-05-13 Fumihiko Hirosawa , Daichi Nakajima

We examine an analytical expression for the survival probability for the time evolution of quantum decay to discuss a regime where quantum decay is nonexponential at all times. We find that the interference between the exponential and…

Quantum Physics · Physics 2013-03-01 Gaston Garcia-Calderon , Jorge Villavicencio

We investigate the quantum dissipative dynamics near the stable states (attractors) of a driven Duffing oscillator. A refined perturbation theory that can treat two perturbative parameters with different orders is developed to calculate the…

Quantum Physics · Physics 2025-05-27 Wei Feng , Lingzhen Guo

We consider the effects of strong dissipation in quantum systems with a notion of locality, which induces a hierarchy of many-body relaxation timescales as shown in [Phys. Rev. Lett. 124, 100604 (2020)]. If the strength of the dissipation…

Strongly Correlated Electrons · Physics 2026-02-19 Jimin L. Li , Dominic C. Rose , Juan P. Garrahan , David J. Luitz

Implementations of solid state quantum optics provide us with devices where qubits are placed at fixed positions in photonic or plasmonic one dimensional waveguides. We show that solely by controlling the position of the qubits and with the…

Mesoscale and Nanoscale Physics · Physics 2013-02-21 A. Gonzalez-Tudela , D. Porras

The decays $B^+\to D_{s,d}^+e^+e^-$ and $B^+\to D_{s,d}^{*+}e^+e^-$ proceed through a weak and an electromagnetic interaction. This is a typical ``long distance'' process, usually difficult to compute systematically. We propose that over a…

High Energy Physics - Phenomenology · Physics 2009-10-31 David H. Evans , Benjamin Grinstein , Detlef R. Nolte

Quantum van der Pol oscillators are driven-dissipative systems displaying quantum synchronization phenomena. When forced by a squeezed drive, the frequency adjusts to half of the forcing displaying multiple preferred phases. Here we analyze…

Quantum Physics · Physics 2021-10-26 Albert Cabot , Gian Luca Giorgi , Roberta Zambrini

The change in the decay rate of an excited atom that is brought about by extinction and thermal-radiation effects in a nearby dielectric medium is determined from a quantummechanical model. The medium is a collection of randomly distributed…

Quantum Physics · Physics 2018-07-23 L. G. Suttorp , A. J. van Wonderen

For first order systems, we obtain an efficient bound on the exponential decay of an eigenfunction in terms of the distance between the corresponding eigenvalue and the essential spectrum. As an example, the Dirac operator is considered.

Spectral Theory · Mathematics 2007-05-23 D. R. Yafaev

For purely leptonic decays of pseudoscalar mesons, the decay rates are related to the product of the relevant weak interaction-based CKM matrix element of the constituent quarks on the one hand, and the strong interaction parameter, the…

High Energy Physics - Phenomenology · Physics 2013-04-12 Swee Ping Chia

It is suggested that a set of positive- and negative-energy oscillations can be resonantly excited in the inner region of deformed (warped or eccentric) relativistic disks. In this paper we examine how a dissipative process affects on this…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Shoji Kato

We study the dynamical process of disentanglement of two qubits and two qutrits coupled to an Ising spin chain in a transverse field, which exhibits a quantum phase transition. We use the concurrence and negativity to quantify entanglement…

Quantum Physics · Physics 2009-11-13 Zhe Sun , Xiaoguang Wang , C. P. Sun

A transition between the strong (coherent) and weak (incoherent) coupling limits of resonant interaction between quantum well (QW) excitons and bulk photons is analyzed and quantified as a function of the incoherent damping rate caused by…

Mesoscale and Nanoscale Physics · Physics 2008-03-04 C. Creatore , A. L. Ivanov

The pre-exponential factor in the probability of decay of a metastable vacuum is calculated for a generic (2+1) dimensional model in the limit of small difference $\epsilon$ of the energy density between the metastable and the stable vacua.…

High Energy Physics - Theory · Physics 2009-11-10 M. B. Voloshin

We study the survival probability of moving relativistic unstable particles with definite momentum $\vec{p} \neq 0$. The amplitude of the survival probability of these particles is calculated using its integral representation. We found…

High Energy Physics - Phenomenology · Physics 2017-08-23 K. Urbanowski

The strong coupling between electronic transport in a single-level quantum dot and a capacitively coupled nano-mechanical oscillator may lead to a transition towards a mechanically-bistable and blocked-current state. Its observation is at…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 G Micchi , Rémi Avriller , F Pistolesi

The rate of noise-induced escape from a metastable state of a periodically modulated overdamped system is found for an arbitrary modulation amplitude $A$. The instantaneous escape rate displays peaks that vary with the modulation from…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. I. Dykman , D. Ryvkine

Dissipation is usually considered a negative factor for observing quantum effects and for harnessing them for quantum technologies. Here we propose a scheme for speeding up the generation of quantum entanglement between two coupled qubits…

Quantum Physics · Physics 2024-10-07 Xiao-Wei Zheng , Jun-Cong Zheng , Xue-Feng Pan , Li-Hua Lin , Pei-Rong Han , Peng-Bo Li

The quantum entanglement between two excitons in two-dimensional materials, embedded in an optical microcavity, was investigated. The energy eigenstates of a Jaynes-Cummings like Hamiltonian for two qubits coupled to a single cavity mode…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Gabriel P. Martins , Oleg L. Berman , Godfrey Gumbs , Yurii E. Lozovik