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Dissipative solitons rely on the double balance between nonlinearity and dispersion as well as gain and loss have attracted a lot of attention in optics, since it gives rise to ultrashort pulses and broadband frequency combs with good…

Optics · Physics 2020-09-18 Tengfei Hao , Hao Ding , Wei Li , Ninghua Zhu , Yitang Dai , Ming Li

Light storage in an atomic Bose-Einstein condensate is one of the most practical usage of these coherent atom-optical systems. In order to make them even more practical, it is necessary to enhance our ability to inject multiple pulses into…

Quantum Physics · Physics 2009-11-13 Devrim Tarhan , Alphan Sennaroglu , Ozgur E. Mustecaplioglu

The nonlinear optical properties of semiconductors near an excitonic resonance are theoretically investigated by using the macroscopic J-model [Th. Oestreich and A. Knorr, Phys. Rev. B 48, 17811 (1993); ibid. 50, 5717 (1994)] based on the…

Materials Science · Physics 2012-02-07 Oleksii A. Smyrnov , Fabio Biancalana

Two recent developments in quantum control, concatenation and optimization of pulse intervals, are combined to yield a strategy to suppress unwanted couplings in quantum systems to high order. Longitudinal relaxation and transverse…

Quantum Physics · Physics 2009-04-09 Götz S. Uhrig

A quantum memory is a system that enables transfer, storage, and retrieval of optical quantum states by ON/OFF switching of the control signal in each stages of the memory. In particular, it is known that, for perfect transfer of a…

Quantum Physics · Physics 2017-02-21 Hideaki Nakao , Naoki Yamamoto

Existence and admissibility of $\delta$-shock type solution is discussed for the following nonconvex strictly hyperbolic system arising in studues of plasmas: \pa_t u + \pa_x \big(\Sfrac{u^2+v^2}{2} \big) &=0 \pa_t v +\pa_x(v(u-1))&=0. The…

Analysis of PDEs · Mathematics 2012-03-27 Henrik Kalisch , Darko Mitrovic

The two-fluid Maxwell system couples frictionless electron and ion fluids via Maxwell's equations. When the frequencies of light waves, Langmuir waves, and single-particle cyclotron motion are scaled to be asymptotically large, the…

Plasma Physics · Physics 2017-08-02 J. W. Burby

We study the problem of multi-compression and reconstructing a stochastic signal observed by several independent sensors (or compressors) that transmit compressed information to a fusion center. { The key aspect of this problem is to find…

Information Theory · Computer Science 2021-11-08 Pablo Soto-Quiros , Anatoli Torokhti , Stanley J. Miklavcic

We investigate the enhancement of the dissipative soliton energy scalability by the injection of a low-power single-mode seed synchronized with a chirped-pulse oscillator round-trip. It is demonstrated that a threshold-like transition to…

We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schr\"{o}dinger equation with varying…

Pattern Formation and Solitons · Physics 2020-05-06 Houria Triki , Vladimir I. Kruglov

We show how to combine in a natural way (i.e. without any test nor switch) the conservative and non conservative formulations of an hyperbolic system that has a conservative form. This is inspired from two different class of schemes: the…

Numerical Analysis · Mathematics 2021-10-27 Rémi Abgrall

The ability to coherently store and manipulate optical information across multiple degrees of freedom is a central requirement for scalable quantum information processing and multidimensional quantum computing. While polarization- and…

It is often difficult to correctly implement a Boolean controller for a complex system, especially when concurrency is involved. Yet, it may be easy to formally specify a controller. For instance, for a pipelined processor it suffices to…

Logic in Computer Science · Computer Science 2013-08-23 Georg Hofferek , Ashutosh Gupta , Bettina Könighofer , Jie-Hong Roland Jiang , Roderick Bloem

We study the stability and interactions of chirped solitary pulses in a system of nonlinearly coupled cubic Ginzburg-Landau (CGL) equations with a group-velocity mismatch between them, where each CGL equation is stabilized by linearly…

Pattern Formation and Solitons · Physics 2009-11-07 H. E. Nistazakis , D. J. Frantzeskakis , J. Atai , B. A. Malomed , N. Efremidis , K. Hizanidis

A near perfect, storage time-extended photon echo-based quantum memory protocol has been analyzed by solving the Maxwell-Bloch equations for a backward scheme in a three-level system. The backward photon echo scheme is combined with a…

Quantum Physics · Physics 2017-04-18 Rahmatullah , B. S. Ham

It is demonstrated that the properties of light stored in a four-level atomic system can be modified by an additional control interaction present during the storage stage. By choosing the pulse area of this interaction one can in particular…

Quantum Physics · Physics 2009-11-07 A. Raczynski , J. Zaremba , S. Zielinska-Kaniasty

On the basis of generalization of upper and lower solution method to the singular two point boundary value problems, the existence theorem of solutions for the system, which models a process of magnetic insulation in plasma is proved.

Mathematical Physics · Physics 2007-05-23 A. V. Sinitsyn

We show that a quantum phase transition from ergodic to many-body localized (MBL) phases can be induced via periodic pulsed manipulation of spin systems. Such a transition is enabled by the interplay between weak disorder and slow heating…

Disordered Systems and Neural Networks · Physics 2018-03-28 Soonwon Choi , Dmitry A. Abanin , Mikhail D. Lukin

The Maxwell-Bloch dissipative equations describe laser dynamics. Under a simple condition on the parameters there exist two time dependent first integrals, that allow a nonstandard separation of variables in the equations. That condition…

Optics · Physics 2017-10-23 Gianluca Gorni , Stefania Residori , Gaetano Zampieri

When approximating a function that depends on a parameter, one encounters many practical examples where linear interpolation or linear approximation with respect to the parameters prove ineffective. This is particularly true for responses…

Numerical Analysis · Mathematics 2018-12-27 Donsub Rim , Kyle T. Mandli