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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…

量子物理 · 物理学 2016-03-14 W. Casteels , F. Storme , A. Le Boité , C. Ciuti

We investigate the computational power of creating steady-states of quantum dissipative systems whose evolution is governed by time-independent and local couplings to a memoryless environment. We show that such a model allows for efficient…

量子物理 · 物理学 2009-09-24 Frank Verstraete , Michael M. Wolf , J. Ignacio Cirac

The steady state motion of a folded pendulum has been studied using frequencies of drive that are mainly below the natural (resonance) frequency of the instrument. Although the free-decay of this mechanical oscillator appears textbook…

经典物理 · 物理学 2007-05-23 Randall D. Peters

The initial states which minimize the predictability loss for a damped harmonic oscillator are identified as quasi-free states with a symmetry dictated by the environment's diffusion coefficients. For an isotropic diffusion in phase space,…

量子物理 · 物理学 2009-10-31 Gh. -S. Paraoanu , H. Scutaru

In this Letter we consider stationary states of dissipative quantum systems. We discuss stationary states of dissipative quantum systems, which coincide with stationary states of Hamiltonian quantum systems. Dissipative quantum systems with…

量子物理 · 物理学 2015-03-12 Vasily E. Tarasov

We analyze the real-time dynamics of a quantum two-state system in the presence of nonequilibrium quantum fluctuations. The latter are generated by a coupling of the two-state system to a single electronic level of a quantum dot which…

介观与纳米尺度物理 · 物理学 2016-12-20 Niklas Mann , Jochen Brüggemann , Michael Thorwart

We investigate two coupled nonlinear cavities that are coherently driven in a dissipative environment. We perform semiclassical, numerical and analytical quantum studies of this dimer model when both cavities are symmetrically driven. In…

量子物理 · 物理学 2016-12-20 Bin Cao , Khan W. Mahmud , Mohammad Hafezi

Periodically driven dynamics of open quantum systems is very interesting because typically non-equilibrium steady state is reached, which is characterized by a non-vanishing current. In this work, we study time discrete and periodically…

量子物理 · 物理学 2021-07-19 Yong-Nan Sun , Kimmo Luoma , Zhao-Di Liu , Jyrki Piilo , Chuan-Feng Li , Guang-Can Guo

Chaotic tunneling in a driven double-well system is investigated in absence as well as in the presence of dissipation. As the constitutive mechanism of chaos-assisted tunneling, we focus on the dynamics in the vicinity of three-level…

凝聚态物理 · 物理学 2022-09-21 Peter Hanggi , Sigmund Kohler , Thomas Dittrich

We develop a semiclassical method for the determination of the nonlinear dynamics of dissipative quantum optical systems in the limit of large number of photons N, based on the 1/N-expansion and the quantum-classical correspondence. The…

chao-dyn · 物理学 2009-10-31 Kirill N. Alekseev , Natasha V. Alekseeva , Jan Perina

The engine that powers quantum cryptography is the principle that there are no physical means for gathering information about the identity of a quantum system's state (when it is known to be prepared in one of a set of nonorthogonal states)…

量子物理 · 物理学 2007-05-23 Christopher A. Fuchs

We study numerically the damping of quantum oscillations and the increase of entropy with time in model spin systems decohered by a spin bath. In some experimentally relevant cases, the oscillations of considerable amplitude can persist…

量子物理 · 物理学 2007-05-23 V. V. Dobrovitski , H. A. De Raedt , M. I. Katsnelson , B. N. Harmon

We show that optomechanical systems in the quantum regime can be used to demonstrate EPR-type quantum entanglement between the optical field and the mechanical oscillator, via quantum-state steering. Namely, the conditional quantum state of…

量子物理 · 物理学 2012-11-20 Helge Mueller-Ebhardt , Haixing Miao , Stefan Danilishin , Yanbei Chen

In the present work we investigate the existence of multiple nonequilibrium steady states in a coherently driven XY lattice of dissipative two-level systems. A commonly used mean-field ansatz, in which spatial correlations are neglected,…

量子物理 · 物理学 2016-06-20 J. J. Mendoza-Arenas , S. R. Clark , S. Felicetti , G. Romero , E. Solano , D. G. Angelakis , D. Jaksch

We formulate a model for the steady state response of a nonlinear quantum oscillator structure, such as those used in a variety of superconducting qubit experiments, when excited by a steady, but not necessarily small, ac tone. We show that…

量子物理 · 物理学 2015-05-30 David P. DiVincenzo , John A. Smolin

We study nonlinear phenomena of bistability and chaos at a level of few quanta. For this purpose we consider a single-mode dissipative oscillator with strong Kerr nonlinearity with respect to dissipation rate driven by a monochromatic force…

量子物理 · 物理学 2014-09-01 T. V. Gevorgyan , A. R. Shahinyan , Lock Yue Chew , G. Yu. Kryuchkyan

We address the stabilization of both classical and quantum systems modeled by jump-diffusion stochastic differential equations using a novel hysteresis switching strategy. Unlike traditional methods that depend on global Lyapunov functions…

最优化与控制 · 数学 2025-07-22 Weichao Liang , Gaoyue Guo

A nonlinear dynamics semi-classical model is used to show that standard quantum spin analysis can be obtained. The model includes a classically driven nonlinear differential equation with dissipation and a semi-classical interpretation of…

量子物理 · 物理学 2018-11-08 Joshua J. Heiner , David R. Thayer

The quantum theory of the damped harmonic oscillator has been a subject of continual investigation since the 1930s. The obstacle to quantization created by the dissipation of energy is usually dealt with by including a discrete set of…

量子物理 · 物理学 2015-06-05 T. G. Philbin

We investigate theoretically the dynamics of squeezed state generation in nonlinear systems possessing a transition from regular to chaotic dynamics in the limit of a large number of photons. As an example, the model of a kicked Kerr…

chao-dyn · 物理学 2009-10-31 Kirill N. Alekseev , Jan Perina