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Thouless pumping is a fundamental instance of quantized transport, which is topologically protected. Although its theoretical importance, the adiabaticity condition is an obstacle for further practical applications. Here, focusing on the…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 S. Malikis , V. Cheianov

We investigate adiabatic charge pumping in disordered system in one dimension with open and closed boundary conditions. In contrast to the Thouless charge pumping, the system has no gap even though all the states are localized, i.e., strong…

Disordered Systems and Neural Networks · Physics 2009-11-13 Chyh-Hong Chern , Shigeki Onoda , Shuichi Murakami , Naoto Nagaosa

The existence of thresholdless vortex solitons trapped at the core of disclination lattices that realize higher-order topological insulators is reported. The study demonstrates the interplay between nonlinearity and higher-order topology in…

Pattern Formation and Solitons · Physics 2024-09-27 Changming Huang , Ce Shang , Yaroslav V. Kartashov , Fangwei Ye

Recent experimental results showing untypical nonlinear absorption and marked deviations from well known universality in the low temperature acoustic and dielectric losses in amorphous solids prove the need for improving the understanding…

Disordered Systems and Neural Networks · Physics 2018-07-20 Moshe Schechter , Peter Nalbach , Alexander L. Burin

Quantized particle or spin transport upon cyclic parameter variations, determined by topological invariants, is a key signature of Chern insulators in the ground state. While measurable many-body observables exist that preserve the…

Quantum Physics · Physics 2021-10-26 Lukas Wawer , Razmik Unanyan , Michael Fleischhauer

Nonadiabatic Thouless pumping of electrons is studied in the framework of topological Floquet engineering, particularly focused on how changes to chemical moieties can control the emergence of the Floquet topological phase. We employ…

Chemical Physics · Physics 2025-06-17 Ruiyi Zhou , Yosuke Kanai

We present a geometric formalism for the non-equilibrium thermodynamics of a small system coupled to external isothermal reservoirs as an application of Thouless pumping, where the electrochemical potentials of the reservoirs and parameters…

Statistical Mechanics · Physics 2025-05-23 Ryosuke Yoshii , Hisao Hayakawa

We report results for solitons in models of waveguides with focusing or defocusing saturable nonlinearity and a parity-time(PT )-symmetric complex-valued external potential of the Scarf-II type. The model applies to the nonlinear wave…

Optics · Physics 2018-04-11 Pengfei Li , Dumitru Mihalache , Boris A. Malomed

We develop a general theory of spatial solitons in a liquid crystalline medium exhibiting a nonlinearity with an arbitrary degree of effective nonlocality. The model accounts the observability of "accessible solitons" and establishes an…

Optics · Physics 2009-11-10 Claudio Conti , Marco Peccianti , Gaetano Assanto

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

We report the observation of different localized structures coexisting for the same parameter values in an extended system. The experimental findings are carried out in a nonlinear optical interferometer, and are fully confirmed by…

Pattern Formation and Solitons · Physics 2007-05-23 U. Bortolozzo , L. Pastur , P. L. Ramazza , M. Tlidi , G. Kozyreff

Despite the extensive studies of topological systems, the experimental characterizations of strongly nonlinear topological phases have been lagging. To address this shortcoming, we design and build elliptically geared isostatic…

Materials Science · Physics 2023-08-01 Fangyuan Ma , Zheng Tang , Xiaotian Shi , Ying Wu , Jinkyu Yang , Di Zhou , Yugui Yao , Feng Li

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

We report on the dynamics of a soliton propagating on the surface of a fluid in a 4-m-long canal with a random or periodic bottom topography. Using a full space-and-time resolved wavefield measurement, we evidence, for the first time…

Fluid Dynamics · Physics 2024-12-31 Guillaume Ricard , Eric Falcon

We study a spherical, self-gravitating fluid model, which finds applications in cosmic structure formation. We argue that since the system features nonlinearity and gravity-induced dispersion, the emergence of solitons becomes possible. We…

Pattern Formation and Solitons · Physics 2024-02-21 G. N. Koutsokostas , S. Sypsas , O. Evnin , T. P. Horikis , D. J. Frantzeskakis

Nonlinear lattice models can support "discrete breather" excitations that stay localized in space for all time. By contrast, the localized Wannier states of linear lattice models are dynamically unstable. Nevertheless, symmetric and…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Frank Schindler , Vir B. Bulchandani , Wladimir A. Benalcazar

We propose a realistic cold-atom quantum setting where nontrivial energy-band topology induces non-reciprocal pumping. This is an intriguing non-Hermitian phenomenon that illustrates how topology, when assisted with atom loss, can act as a…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Linhu Li , Ching Hua Lee , Jiangbin Gong

The notion of topological (Thouless) pumping in topological phases is traditionally associated with Laughlin's pump argument for the quantization of the Hall conductance in two-dimensional (2D) quantum Hall systems. It relies on magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Charles-Edouard Bardyn , Michele Filippone , Thierry Giamarchi

We investigate the effects of non-Hermiticity on topological pumping, and uncover a connection between a topological edge invariant based on topological pumping and the winding numbers of exceptional points. In Hermitian lattices, it is…

Classical Physics · Physics 2017-05-31 Wenchao Hu , Hailong Wang , Perry Ping Shum , Y. D. Chong

Photonic topological insulators supporting unidirectional topologically protected edge states represent attractive platform for realization of disorder- and backscattering-immune transport of edge excitations in both linear and nonlinear…

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