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We model the development of the linear complexity of multisequences by a stochastic infinite state machine, the Battery-Discharge-Model, BDM. The states s in S of the BDM have asymptotic probabilities or mass Pr(s)=1/(P(q,M) q^K(s)), where…

Information Theory · Computer Science 2007-07-13 Michael Vielhaber , Monica del Pilar Canales

A systematic procedure for deriving the master equation of a dissipative system is reported in the framework of stochastic description. For the Caldeira-Leggett model of the harmonic-oscillator bath, a detailed and elementary derivation of…

Quantum Physics · Physics 2015-05-30 Haifeng Li , Jiushu Shao , Shikuan Wang

A narrow-bandwidth actively mode-locked laser using a Cr:ZnS gain medium has been successfully demonstrated. A free-space electro-optic phase modulator is employed in the solid-state laser resonator to achieve frequency-modulation (FM)…

A microscopic study of mode-locked pulse generation is presented for vertical external-cavity surface-emitting lasers utilizing type-II quantum well configurations. The coupled Maxwell semiconductor Bloch equations are solved numerically…

Optics · Physics 2019-07-24 I. Kilen , S. W. Koch , J. Hader , J. V. Moloney

We propose a new method for pure-state and subspace preparation in quantum systems, which employs the output of a continuous measurement process and switching dissipative control to improve convergence speed, as well as robustness with…

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

We derive a Born-Markov master equation describing the dissipation induced by a bath of lossy but coherently driven two-level systems (TLS) coupled to a bosonic system via Jaynes-Cummings interaction. We analytically derive all the master…

Quantum Physics · Physics 2021-06-02 Katja Kustura , Oriol Romero-Isart , Carlos Gonzalez-Ballestero

The dynamics and stability of continuous-wave and multi-pulse structures are studied theoretically, for a generalized model of passively mode-locked fiber laser with an arbitrary nonlinearity. The model is characterized by a complex…

Pattern Formation and Solitons · Physics 2021-09-16 D. Jr. Fandio Jubgang , Alain M. Dikande , A. Sunda-Meya

Passively mode-locked semiconductor disk lasers have received tremendous attention from both science and industry. Their relatively inexpensive production combined with excellent pulse performance and great emission wavelength flexibility…

Optics · Physics 2024-02-22 Stefan Meinecke , Kathy Lüdge

The quantum dynamics of a damped and forced harmonic oscillator described by a Lindblad master equation is analyzed. The master equation is converted into a matrix-vector representation and the resulting non-Hermitian Schr\"odinger equation…

Quantum Physics · Physics 2019-09-10 H. J. Korsch

We extend and apply a recently developed approach to the study of dynamic bifurcations in PDEs based on the geometric blow-up method. We show that this approach, which has so far only been applied to study a dynamic Turing bifurcation in a…

Dynamical Systems · Mathematics 2023-02-14 Samuel Jelbart , Christian Kuehn

We present a fully quantum mechanical treatment of a single-mode atomic cavity with a pumping mechanism and an output coupling to a continuum of external modes. This system is a schematic description of an atom laser. In the dilute limit…

Condensed Matter · Physics 2009-10-31 J. J. Hope , G. M. Moy , M. J. Collett , C. M. Savage

A proposal for an all-optical memory based on a bistability of single-mode states in a dual-mode diode laser with time-delayed optical feedback is presented. The system is modeled using a multimode extension of the Lang-Kobayashi equations…

Optics · Physics 2012-01-17 N. Brandonisio , P. Heinricht , S. Osborne , A. Amann , S. O'Brien

We investigate the possibility of bistable lasing in microcavity lasers as opposed to bulk lasers. To that end, the dynamic behavior of a microlaser featuring two coupled, interacting modes is analytically investigated within the framework…

Optics · Physics 2009-03-17 Sergei V. Zhukovsky , Dmitry N. Chigrin , Johann Kroha

Coupled wave equations are popular tool for investigating longitudinal dynamical effects in semiconductor lasers, for example, sensitivity to delayed optical feedback. We study a model that consists of a hyperbolic linear system of partial…

Dynamical Systems · Mathematics 2013-08-12 Jan Sieber

We derive a closed equation of motion for the current density of an inhomogeneous quantum many-body system under the assumption that the time-dependent wave function can be described as a geometric deformation of the ground-state wave…

Other Condensed Matter · Physics 2015-05-14 Xianlong Gao , Jianmin Tao , G. Vignale , I. V. Tokatly

A distributed Kerr-lens mode locking regime can be realized in a waveguide laser by spatial profiling of the pump beam, thus creating a spatio-temporal soliton. Additional slow temporal modulation of the pump source stabilizes the…

Optics · Physics 2024-08-13 Vladimir L. Kalashnikov , Evgeni Sorokin , Irina T. Sorokina

By extending the mean-field Hamiltonian to include nonhermitian operators, the master equations for fermions and bosons can be derived. The derived equations reduce to the Markoff master equation in the low-density limit and to the…

Quantum Physics · Physics 2007-05-23 C. F. Huang , K. -N. Huang

We introduce a novel reformulation of the mean-field system for pulse-coupled oscillators. It is based on writing a closed equation for the inverse distribution function associated to the probability density of oscillators with a given…

Analysis of PDEs · Mathematics 2024-04-23 José Antonio Carrillo , Xu'an Dou , Pierre Roux , Zhennan Zhou

Quantum dynamics of the Bose-Hubbard Model is investigated through a semiclassical hamiltonian picture provided by the Time-Dependent Variational Principle method. The system is studied within a factorized slow/fast dynamics. The…

Superconductivity · Physics 2009-10-31 L. Amico , V. Penna

We observe a significant steady-state deviation from the generalized equipartition theorem, one of the pivotal results of classical statistical mechanics, in a system of confined, laser cooled atoms. We quantify this deviation, measure its…

Statistical Mechanics · Physics 2020-04-29 Gadi Afek , Alexander Cheplev , Arnaud Courvoisier , Nir Davidson
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