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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 demonstrate how a time-dependent dissipative environment may be used as a tool for controlling the quantum state of a two-level atom. In our model system the frequency and coupling strength associated with microscopic reservoir modes are…

Quantum Physics · Physics 2008-03-22 I. E. Linington , B. M. Garraway

Circadian rhythms are archetypical examples of nonlinear oscillations. While these oscillations are usually attributed to circuits of biochemical interactions among clock genes and proteins, recent experimental studies reveal that they are…

Cell Behavior · Quantitative Biology 2023-06-27 Keith E. Kennedy , Juan F. Abenza , Leone Rossetti , Xavier Trepat , Pablo Villoslada , Jordi Garcia-Ojalvo

The analysis of dissipation and dephasing in driven mesoscopic devices requires a distinction between two notions of quantum irreversibility. One ("Loschmidt echo") is related to "time reversal", while the other is related to "driving…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Tsampikos Kottos , Doron Cohen

In broadband quantum optical systems, nonlinear interactions among a large number of frequency components induce complex dynamics that may defy heuristic analysis. In this work we introduce a perturbative framework for factoring out…

Quantum Physics · Physics 2023-11-08 Chris Gustin , Ryotatsu Yanagimoto , Edwin Ng , Tatsuhiro Onodera , Hideo Mabuchi

We explore theoretically the physics of dynamic hysteresis for driven-dissipative nonlinear photonic resonators. In the regime where the semiclassical mean-field theory predicts bistability, the exact steady-state density matrix is known to…

Quantum Physics · Physics 2016-03-14 W. Casteels , F. Storme , A. Le Boité , C. Ciuti

We combine a quantum dynamical propagator that explicitly accounts for quantum mechanical time ordering with optimal control theory. After analyzing its performance with a simple model, we apply it to a superconducting circuit under…

Quantum Physics · Physics 2018-08-02 Daniel Basilewitsch , Lutz Marder , Christiane P. Koch

In this paper, we investigate the quantum entanglement induced by phase-space noncommutativity. Both the position-position and momentum-momentum noncommutativity are incorporated to study the entanglement properties of coordinate and…

Quantum Physics · Physics 2024-01-09 Shilpa Nandi , Muklesur Rahaman , Pinaki Patra

We demonstrate the possibility of controlling the border between the quantum and the classical world by performing nonselective measurements on quantum systems. We consider a quantum harmonic oscillator initially prepared in a Schroedinger…

Quantum Physics · Physics 2007-05-23 S. Maniscalco , J. Piilo , K. -A. Suominen

The dispersive regime of $n$-photon qubit-oscillator interactions is analyzed using Schrieffer-Wolff perturbation theory. Effective Hamiltonians are derived up to the second order in the perturbation parameters. These effective descriptions…

Quantum Physics · Physics 2025-09-03 Mohammad Ayyash , Sahel Ashhab

The ability to efficiently simulate a variety of interacting quantum systems on a single device is an overarching goal for digital and analog quantum simulators. In circuit quantum electrodynamical systems, strongly nonlinear…

Quantum Physics · Physics 2026-03-16 J. D. Koenig , G. Barbieri , F. Fani Sani , C. A. Potts , M. Kounalakis , G. A. Steele

The author's modified Coulomb damping model has been generalized to accommodate internal friction that derives from several dissipation mechanisms acting simultaneously. Because of its fundamental nonlinear nature, internal friction damping…

Classical Physics · Physics 2007-05-23 Randall D. Peters

This paper presents a comprehensive investigation of the problem of a harmonic oscillator with time-depending frequencies in the framework of the Vlasov theory and the Wigner function apparatus for quantum systems in the phase space. A new…

Quantum Physics · Physics 2023-05-16 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva , A. A. Korepanova

Macroscopic phase coherence in superconductors enables quantum interference and phase manipulation at realistic device length scales. Numerous superconducting electronic devices are based on the modulation of the supercurrent in…

Superconductivity · Physics 2024-03-21 J. Hudis , J. Cochran , G. Franco-Rivera , C. S. Guzman , E. Lochner , P. Schlottman , P. Xiong , I. Chiorescu

A phase space formulation of the filtering process upon an incident quantum state is developed. This formulation can explain the results of both quantum interference and delayed-choice experiments without making use of the controversial…

Quantum Physics · Physics 2009-11-10 Daniela Dragoman

In this work, we discuss the realization of mechanical devices with non-reciprocal attributes enabled by inertia-amplifying, time-modulated mechanisms. Our fundamental building-block features a mass, connected to a fixed ground through a…

Classical Physics · Physics 2024-01-17 Paolo Celli , Antonio Palermo

The spiking properties of a subcritical Hopf oscillator with a time delayed nonlinear feedback is investigated. Finite time delay is found to significantly affect both the statistics and the fine structure of the spiking behavior. These…

Chaotic Dynamics · Physics 2009-11-11 Gautam C Sethia , Abhijit Sen

Chaos transition, as an important topic, has become an active research subject in non-linear science. By considering a Dicke Hamiltonian coupled to a bath of harmonic oscillator, we have been able to introduce a logistic map with quantum…

Chaotic Dynamics · Physics 2012-07-25 S. Ahadpour , N. Hematpour

It is shown that coherence resonance, a phenomenon in which regularity of noise-induced oscillations in nonlinear excitable systems is maximized at a certain optimal noise intensity, can be observed in quantum dissipative systems. We…

Adaptation and Self-Organizing Systems · Physics 2021-04-12 Yuzuru Kato , Hiroya Nakao

We discuss the short-time perturbative expansion of the linear entropy for finite-dimensional quantum systems whose dynamics can be effectively described by a non-Hermitian Hamiltonian. We derive a timescale for the degree of mixedness for…

Quantum Physics · Physics 2023-02-07 Diego Paiva Pires , Tommaso Macrì