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A systematic, rigorous, and complete investigation of the Bloch equations in time-harmonic driving classical field is performed. Our treatment is unique in that it takes full advantage of the partial fraction decomposition over real number…

Quantum Physics · Physics 2012-08-29 Alexander Moroz

We investigate Bloch oscillations of interacting cold atoms in a mean-field framework. In general, atom-atom interaction causes dephasing and destroys Bloch oscillations. Here, we show that Bloch oscillations are persistent if the…

Other Condensed Matter · Physics 2009-07-02 C. Gaul , R. P. A. Lima , E. Diaz , C. A. Mueller , F. Dominguez-Adame

We theoretically investigate mechanisms of higher-order harmonic generation in solid-state materials under a high-intensity ac electric field. A new theoretical framework presented in this Letter holds the legitimacy of Bloch theorem even…

Materials Science · Physics 2017-01-12 T. Tamaya , A. Ishikawa , T. Ogawa , K. Tanaka

We theoretically studied the exciton geometric structure in layered semiconducting transition metal dichalcogenides. Based on a three-orbital tight-binding model for Bloch electrons which incorporates their geometric structures, an…

Mesoscale and Nanoscale Physics · Physics 2024-03-11 Jianju Tang , Songlei Wang , Hongyi Yu

We present a formulation for deriving effective medium properties of infinitely periodic two-dimensional metamaterial lattice structures beyond the static and quasi-static limits. We utilize the multipole expansions, where the polarization…

We investigate solitons and nonlinear Bloch waves in Bose-Einstein condensates trapped in optical lattices. By introducing specially designed localized profiles of the spatial modulation of the attractive nonlinearity, we construct an…

Quantum Gases · Physics 2015-05-19 Jie-Fang Zhang , Yi-Shen Li , Jianping Meng , Lei Wu , Boris A. Malomed

We present experimental results on the observation of a bulk second-order nonlinear susceptibility derived from both free-space and integrated measurements in silicon nitride. Phase-matching is achieved through dispersion engineering of the…

The weak field magnetoresistance has seen a revived interest due to the distinct role played by the momentum-space Berry curvature of Bloch electrons. While most previous studies in this regard focus on the inter-scattering motion of…

Materials Science · Physics 2020-03-11 Cong Xiao , Hua Chen , Yang Gao , Di Xiao , Allan H. MacDonald , Qian Niu

Bloch lines are formed to reduce the magnetostatic energy generated by the Bloch walls in uniaxial magnets. Recently, it is reported that Bloch lines play important roles in the emergence and helicity reversal of magnetic bubbles in…

Mesoscale and Nanoscale Physics · Physics 2019-07-02 Kosuke Kurushima , Kohei Tanaka , Hiroshi Nakajima , Masahito Mochizuki , Shigeo Mori

A mesoscopic model of a diblock copolymer is used to study the stability of a lamellar structure under a uniform shear flow. We first obtain the nonlinear lamellar solutions under both steady and oscillatory shear flows. Regions of…

Soft Condensed Matter · Physics 2015-06-25 Francois Drolet , Jorge Vinals

The plasmon-enhanced second harmonic generation in the subwavelength neutral metal cubic nanoparticles is calculated for the first time in the hydrodynamic and cold plasma approximations. The theory is developed that takes into account all…

Mesoscale and Nanoscale Physics · Physics 2016-02-15 S. V. Fomichev , A. M. Bratkovsky

The nonlinear response of a material to a large electric field (steady or pulsed) often determines the ultimate performance of the material for electronics applications. The formalism for understanding nonlinear effects in conventional…

Strongly Correlated Electrons · Physics 2007-05-23 J. K. Freericks , V. Turkowski , and V. Zlatic

Using a conserving Baym-Kadanoff approach, we present a fully compelling theory of nonlinear dc response of a Dirac system to electric fields in the presence of disorder scattering. We show that the nonlinear terms are strikingly ruled by…

Mesoscale and Nanoscale Physics · Physics 2021-05-14 Habib Rostami , Emmanuele Cappelluti

We suggest a novel concept in the soliton switching based on the Bloch-wave filtering in periodic photonic structures. Taking a binary waveguide array as an example, we demonstrate that spatial solitons that belong to different spectral…

Optics · Physics 2009-04-01 Andrey A. Sukhorukov , Yuri S. Kivshar

Since the first observation of second harmonic generation (SHG), there have been extensive studies on this nonlinear phenomenon not only to clarify its physical origin but also to realize unconventional functionalities. Nonetheless, a…

We use ultrafast laser pulses to experimentally demonstrate that the second-order optical response of bulk single crystals of the topological insulator Bi$_2$Se$_3$ is sensitive to its surface electrons. By performing surface doping…

Materials Science · Physics 2011-02-02 D. Hsieh , J. W. McIver , D. H. Torchinsky , D. R. Gardner , Y. S. Lee , N. Gedik

Significantly enhanced second order nonlinearity resulting from local symmetry breaking in domain walls is reported. By this new giant nonlinearity, novel hexagonally, conically and trigonally distributed second harmonic beams closely…

Optics · Physics 2010-05-18 Xuewei Deng , Huaijin Ren , Yuanlin Zheng , Kun Liu , Xianfeng Chen

We aim to clarify the role that absorption plays in nonlinear optical processes in a variety of metallic nanostructures and show how it relates to emission and conversion efficiency. We define a figure of merit that establishes the…

The field of topological photonics studies unique and robust photonic systems that are immune to defects and disorders due to the protection of their underlying topological phases. Mostly implemented in static systems, the studied…

Optics · Physics 2023-04-20 Jicheng Jin , Li He , Jian Lu , Lin Chang , Chen Shang , John E. Bowers , Eugene J. Mele , Bo Zhen

We present a theoretical framework for nonlinear optics of graphene and other 2D materials in layered structures. We derive a key equation to find the effective electric field and the sheet current density in the 2D material for given…

Optics · Physics 2018-12-27 J. L. Cheng , J. E. Sipe , N. Vermeulen , C. Guo
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