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We investigate the behavior of two coupled non-linear photonic cavities, in presence of inhomogeneous coherent driving and local dissipations. By solving numerically the quantum master equation, either by diagonalizing the Liouvillian…

量子物理 · 物理学 2020-04-08 Kilian Seibold , Riccardo Rota , Vincenzo Savona

To understand quantum optics experiments, we must perform calculations that consider the principal sources of noise, such as losses, spectral impurity and partial distinguishability. In both discrete and continuous variable systems, these…

量子物理 · 物理学 2025-08-15 Jacob F. F. Bulmer , Javier Martínez-Cifuentes , Bryn A. Bell , Nicolás Quesada

The parametrically pumped Kerr model describes a driven-dissipative nonlinear cavity, whose nonequilibrium phase diagram features both continuous and discontinuous quantum phase transitions. We consider the consequences of these critical…

量子物理 · 物理学 2022-10-26 Michael J. Kewming , Mark T. Mitchison , Gabriel T. Landi

The established thermodynamic formalism of chaotic dynamics, valid at statistical equilibrium, is here generalized to systems out of equilibrium, that have yet to relax to a steady state. A relation between information, escape rate, and the…

混沌动力学 · 物理学 2024-08-28 Domenico Lippolis

We investigate quantum synchronization phenomenon within the complex network constituted by coupled optomechanical systems and prove the unknown identical quantum states can be shared or distributed in the quantum network even though the…

量子物理 · 物理学 2017-03-08 Wenlin Li , Chong Li , Heshan Song

There has been rapid development of systems that yield strong interactions between freely propagating photons in one dimension via controlled coupling to quantum emitters. This raises interesting possibilities such as quantum information…

We review the main ideas and results in the stationary problems of quantum chaos in generic (mixed) systems, whose classical dynamics has regular (invariant tori) and chaotic regions coexisting in the phase space. First we discuss the…

混沌动力学 · 物理学 2007-05-23 Marko Robnik

The manner in which unpredictable chaotic dynamics manifests itself in quantum mechanics is a key question in the field of quantum chaos. Indeed, very distinct quantum features can appear due to underlying classical nonlinear dynamics. Here…

量子物理 · 物理学 2014-03-07 G. B. Lemos , R. M. Gomes , S. P. Walborn , P. H. Souto Ribeiro , F. Toscano

Distributions of eigenmodes are widely concerned in both bounded and open systems. In the realm of chaos, counting resonances can characterize the underlying dynamics (regular vs. chaotic), and is often instrumental to identify…

In the context of non-Hermitian photonics, we consider a nonlinear optical trimer with three lossy waveguides with complex couplings. This non-Hermitian trimer exhibits stable stationary and oscillatory regimes in a wide range of values of…

光学 · 物理学 2024-08-20 Johanne Hizanidis , Konstantinos G. Makris

This review article will present some recent results and methods in the study of 1-particle quantum or wave scattering systems, in the semiclassical/high frequency limit, in cases where the corresponding classical/ray dynamics is chaotic.…

数学物理 · 物理学 2011-11-04 Stéphane Nonnenmacher

A fundamental requirement for the emergence of classical behavior from an underlying quantum description is that certain observed quantum systems make a transition to chaotic dynamics as their action is increased relative to $\hbar$. While…

量子物理 · 物理学 2017-02-01 Jason F. Ralph , Kurt Jacobs , Mark J. Everitt

in the last decade, studies of chaotic system are more often used for classical choatic system than for quantum chaotic system, there are many ways of observing the chaotic system such us analyzing the frequency with Fourier transform or…

混沌动力学 · 物理学 2007-05-23 S. Soegianto , The Houw Liong

The statistics of transmitted photons in microwave cavities play a foundational role in microwave quantum optics and its technological applications. By utilizing quantum mechanical phase-space methods, we here develop a general theory of…

介观与纳米尺度物理 · 物理学 2025-04-02 Kalle S. U. Kansanen , Pedro Portugal , Christian Flindt , Peter Samuelsson

A quantum manifestation of chaotic classical dynamics is found in the framework of oscillatory numbers statistics for the model of nonlinear dissipative oscillator. It is shown by numerical simulation of an ensemble of quantum trajectories…

量子物理 · 物理学 2009-11-07 Gagik Yu. Kryuchkyan , Suren B. Manvelyan

We calculate the normalized second-order correlation function for a system of two tunnel-coupled photonic resonators, each one exhibiting a single-photon nonlinearity of the Kerr type. We employ a full quantum formulation: the master…

其他凝聚态物理 · 物理学 2010-09-24 S. Ferretti , L. C. Andreani , H. E. Tureci , D. Gerace

We consider the quantum-classical correspondence from a classical perspective by discussing the potential for chaotic systems to support behaviors normally associated with quantum mechanical systems. Our main analytical tool is a chaotic…

量子物理 · 物理学 2017-10-09 Kevin M. Short , Matthew A. Morena

Following a recent work (briefly reviewed below) we consider temporal fluctuations in the reduced density matrix elements for a coupled system involving a pair of kicked rotors as also one made up of a pair of Harper Hamiltonians. These…

量子物理 · 物理学 2009-11-10 Sankhasubhra Nag , Gautam Ghosh , Avijit Lahiri

In this paper, we investigate Lyapunov exponents associated with chaotic motions of both massless and massive particles in the vicinity of a Kerr-Newman AdS black hole. Our exploration focuses on their correlations with the black hole phase…

高能物理 - 理论 · 物理学 2026-01-19 Chuang Yang , Chuanhong Gao , Deyou Chen , Xiaoxiong Zeng

Hyperchaos is a qualitatively stronger form of chaos, in which several degrees of freedom contribute simultaneously to exponential divergence of small changes. A hyperchaotic dynamical system is therefore even more unpredictable than a…

混沌动力学 · 物理学 2025-12-19 Lina Halef , Itay Shomroni