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The periodic modulation of an oscillator's frequency can lead to so-called parametric oscillations at half the driving frequency, which display bistability between two states whose phases differ by \pi. Such phase-locking bistability is at…

Pattern Formation and Solitons · Physics 2018-04-25 Rubén Martínez-Lorente , Fernando Silva , Germán J. de Valcárcel

We consider the steady state non-equilibrium physics of the multichannel interacting resonant level model in the weak coupling regime. By using the scattering state method we show in agreement with the rate equations that the negative…

Strongly Correlated Electrons · Physics 2015-05-14 L. Borda , A. Zawadowski

Periodically modulated nonlinear oscillators often display bistability of forced vibrations. This bistability can be used for new types of quantum measurements. They are based on switching between coexisting vibrational states. Since…

Mesoscale and Nanoscale Physics · Physics 2008-10-29 M. I. Dykman

We consider the dynamics of a periodic chain of N coupled overdamped particles under the influence of noise. Each particle is subjected to a bistable local potential, to a linear coupling with its nearest neighbours, and to an independent…

Probability · Mathematics 2007-10-16 Nils Berglund , Bastien Fernandez , Barbara Gentz

We consider a model where a population of diffusively coupled limit-cycle oscillators, described by the complex Ginzburg-Landau equation, interacts nonlocally via an inertial field. For sufficiently high intensity of nonlocal inertial…

Pattern Formation and Solitons · Physics 2007-05-23 Vanessa Casagrande , Alexander S. Mikhailov

We investigate modulational instability (MI) in asymmetric dual-core nonlinear directional couplers incorporating the effects of the differences in effective mode areas and group velocity dispersions, as well as phase- and group-velocity…

Pattern Formation and Solitons · Physics 2019-08-28 A. Govindarajan , Boris A. Malomed , A. Mahalingam , A. Uthayakumar

Understanding how and to what magnitude solid-state qubits couple to metallic wires is crucial to the design of quantum systems such as quantum computers. Here, we investigate the coupling between a multi-level system, or qudit, and a…

Mesoscale and Nanoscale Physics · Physics 2023-12-07 Rusko Ruskov , Charles Tahan

Switching controlled dynamics allows for fast, flexible control design methods for quantum stabilization of pure states and subspaces, which naturally include both Hamiltonian and dissipative control actions. A novel approach to…

Quantum Physics · Physics 2024-06-24 Weichao Liang , Tommaso Grigoletto , Francesco Ticozzi

Quantum systems are typically subject to various environmental noise sources. Treating these environmental disturbances with a system-bath approach beyond weak coupling one must refer to numerical methods as, for example, the numerically…

Quantum Physics · Physics 2021-12-08 Timo Palm , Peter Nalbach

We study the dynamics of the quantum phase distribution associated with the reduced density matrix of a system for a number of situations of practical importance, as the system evolves under the influence of its environment, interacting via…

Quantum Physics · Physics 2009-11-13 Subhashish Banerjee , R. Srikanth

We study the system involving mutual interaction between three qubits and an oscillator within the ultrastrong coupling regime. We apply adiabatic approximation approach to explore two extreme regimes: (i) the oscillator's frequency is far…

Quantum Physics · Physics 2014-02-12 Li-Tuo Shen , Rong-Xin Chen , Huai-Zhi Wu , Zhen-Biao Yang

Simple states, such as isobaric analog states or giant resonances, embedded into continuum are typical for mesoscopic many-body quantum systems. Due to the coupling to compound states in the same energy range, a simple mode acquires a…

Nuclear Theory · Physics 2016-09-08 V. V. Sokolov , V. G. Zelevinsky

We study nonlinear resonance of coupled modes in nano-mechanical systems. To reveal the qualitative features of the dynamics, we consider the limiting cases, where the results can be obtained analytically. For 1:3 resonance, we find the…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 O. Shoshani , S. W. Shaw , M. I. Dykman

It is known that ensembles of interacting oscillators or qubits can exhibit the phenomenon of quantum synchronization. In this work we consider a set of $N$ identical two-state systems that we call ``harmonic qubits'', because the kinetic…

General Physics · Physics 2025-09-18 L. Gamberale , G. Modanese

We analytically demonstrate that strong system-bath coupling separates the relaxation dynamics of a dissipative quantum system into two distinct regimes: a short-time dynamics that, as expected, accelerates with increasing coupling to the…

Quantum Physics · Physics 2025-12-22 Brett Min , Matthew Gerry , Dvira Segal

We investigate the energy distribution and quantum thermodynamics in periodically driven polaritonic systems in the stationary state at room temperature. Specifically, we consider an exciton strongly coupled to a harmonic oscillator and…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Maicol A. Ochoa

Coupled dynamical systems with one slow element and many fast elements are analyzed. By averaging over the dynamics of the fast variables, the adiabatic kinetic branch is introduced for the dynamics of the slow variable in the adiabatic…

Chaotic Dynamics · Physics 2015-06-15 Hidetoshi Aoki , Kunihiko Kaneko

We investigate the quantum dynamics of a quantum oscillator coupled with the most upper state of a three-level $\Lambda-$ type system. The two transitions of the three-level emitter, possessing orthogonal dipole moments, are coherently…

Quantum Physics · Physics 2019-09-09 Alexandra Mirzac , Mihai A. Macovei

We propose a method for the measurement of adiabatic phases of periodically driven quantum systems coupled to an open cavity that enables dispersive readout. It turns out that the cavity transmission exhibits peaks at frequencies determined…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Sigmund Kohler

The quantum coherence is considered within phase-sensitive nonadiabatic dressed states. Two types of phase correlations are found: a rapidly changing phase correlation between the real and the virtual components and a stationary phase…

Quantum Physics · Physics 2024-11-28 I. G. Koprinkov
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