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Interactions between solitons and the coherent oscillation structures generated by localized disturbances via modulational instability are studied within the framework of the focusing nonlinear Schrodinger equation. Two main interaction…

Pattern Formation and Solitons · Physics 2018-10-24 Gino Biondini , Sitai Li , Dionyssios Mantzavinos

The universal theory of weakly nonlinear wave packets given by the nonlinear Schr\"odinger equation is revisited. In the limit where the group and phase velocities are very close together, a multiple scale analysis carried out beyond all…

Pattern Formation and Solitons · Physics 2023-02-02 Gregory Kozyreff

The study of topological effects in physics is a hot area, and only recently researchers were able to address the important issues of topological properties of interacting quantum systems. But it is still a great challenge to describe…

Quantum Gases · Physics 2017-07-05 Yongguan Ke , Xizhou Qin , Yuri S. Kivshar , Chaohong Lee

Recent experiments have reported nonlinear signals in topological materials up to room temperature. Here we show that this response stems from extrinsic spin-orbit contributions to \textit{both} impurity and phonon scattering. While skew…

Mesoscale and Nanoscale Physics · Physics 2025-06-18 Rhonald Burgos Atencia , Shanshan Liu , Kian Ping Loh , Dimitrie Culcer

We study trapping and propagation of a matter-wave soliton through the interface between uniform medium and a nonlinear optical lattice (NOL). Different regimes for transmission of a broad and a narrow soliton are investigated. Reflections…

Quantum Gases · Physics 2015-05-13 Fatkhulla Kh. Abdullaev , Ravil M. Galimzyanov , Marijana Brtka , Lauro Tomio

We investigate the effect of sliding motion of layers in Moir\'e heterostructures on the electronic state. We show that the sliding Moir\'e heterostructure can generate nontrivial topology characterized by the first and second Chern number…

Materials Science · Physics 2020-02-05 Ying Su , Shi-Zeng Lin

We theoretically investigate the transmission dynamics of coherent matter wave pulses across finite optical lattices in both the linear and the nonlinear regimes. The shape and the intensity of the transmitted pulse are found to strongly…

Soft Condensed Matter · Physics 2009-11-07 Iacopo Carusotto , Davide Embriaco , Giuseppe C. La Rocca

Topological charge pumping represents an important quantum phenomenon that shows the fundamental connection to the topological properties of dynamical systems. Here, we introduce a pumping process in a spin-dependent double-well optical…

Quantum Gases · Physics 2020-04-29 Qianqian Chen , Jianming Cai , Shaoliang Zhang

The movement of subaqueous sediment in laminar shearing flow is numerically investigated by the coupled lattice Boltzmann and discrete element methods. First, the numerical method is validated by comparing the phase diagram proposed by…

Fluid Dynamics · Physics 2022-06-09 Duo Wang

We extend previous work to consider the effect of the soliton on the density of states and conductivity of quasi-one-dimensional Peierls systems with quantum lattice fluctuations, modeled by a random static disorder. Two features have been…

Condensed Matter · Physics 2007-05-23 Kihong Kim , John W. Wilkins

The impact of coherence on the nonlinear optical response and stationary transport is studied in quantum cascade laser structures. Nonequilibrium effects such as pump-probe signals, the spatio-temporally resolved electron density evolution,…

Mesoscale and Nanoscale Physics · Physics 2009-05-12 C. Weber , A. Wacker , A. Knorr

A topological charge pump [1] transfers charge in a quantized fashion. The quantization is stable against the detailed form of the pumping protocols and external noises and shares the same topological origin as the quantum Hall effect. We…

Quantum Gases · Physics 2013-07-11 Lei Wang , Matthias Troyer , Xi Dai

We show that a topological pump in a one-dimensional (1D) insulator can induce a strictly quantized transport in an auxiliary chain of non-interacting fermions weakly coupled to the first. The transported charge is determined by an integer…

Quantum Gases · Physics 2021-07-21 Lukas Wawer , Rui Li , Michael Fleischhauer

The transfer of conserved charges through insulating matter via smooth deformations of the Hamiltonian is known as quantum adiabatic, or Thouless, pumping. Central to this phenomenon are Hamiltonians whose insulating gap is controlled by a…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Pedro L. S. Lopes , Pouyan Ghaemi , Shinsei Ryu , Taylor L. Hughes

The effect of nonlinear transmission in coupled optical waveguide arrays is theoretically investigated via numerical simulations on the corresponding model equations. The realistic experimental setup is suggested injecting the beam in a…

Condensed Matter · Physics 2009-11-10 Ramaz Khomeriki

We study spatial and temporal solitons in the $\mathcal{PT}$ symmetric coupler with gain in one waveguide and loss in the other. Stability properties of the high- and low-frequency solitons are found to be completely determined by a single…

Pattern Formation and Solitons · Physics 2015-06-05 N. V. Alexeeva , I. V. Barashenkov , Andrey A. Sukhorukov , Yuri S. Kivshar

The intrinsic non-linearities of the spin dynamics in condensed matter systems give rise to a rich phenomenology that can be strongly affected by topology. Here we study formation of magnonic solitons in the topologically nontrivial bandgap…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Mehrdad Elyasi , Koji Sato , Gerrit E. W. Bauer

Charge and heat transport through a single molecule tunnel-coupled to external normal electrodes have been studied. The molecule with sufficiently strong interaction between lectrons and vibrational internal degrees of freedom can be…

Mesoscale and Nanoscale Physics · Physics 2012-04-16 Karol Izydor Wysokinski

Taking nonlinear effect into account, we study theoretically the transmission properties of photons in a one-dimensional coupled cavities, the cavity located at the center of the cavity array is coupled to a two-level system. By the…

Quantum Physics · Physics 2009-06-11 H. D. Liu , W. Wang , X. X. Yi

Non-Abelian Thouless pumping intertwines adiabatic quantum control and topological quantum transport and it holds potential for quantum metrology and computing. In this work, we introduce a ladder model featuring two doubly-degenerate bands…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Carlo Danieli , Valentina Brosco , Laura Pilozzi , Roberta Citro
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