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Thouless pumps

WebOct 17, 2024 · Thouless pump is a one-dimensional dynamic topological effect that stems from the same topological mechanism as the renowned two-dimensional Chern … WebNov 23, 2024 · A Thouless pump can be regarded as a dynamical version of the integer quantum Hall effect. In a finite-size configuration, such a topological pump displays edge modes that emerge dynamically from one bulk band and dive into the opposite bulk band, an effect that can be reproduced with both quantum and classical systems. Here, we report …

Chern Number Governs Soliton Motion in Nonlinear Thouless Pumps

WebDganit Meidan from Ben Gurion University will introduce Thouless pumps,. Hamiltonians with parameters ¶ Previously, when studying the topology of … WebOct 19, 2024 · Thouless pump protocols preserve the system’s translational symmetry, and as such, different states within the same bulk band, which possess different momenta, … how to twist bread dough https://krellobottle.com

Topologically quantized current in quasiperiodic Thouless pumps

WebJan 12, 2024 · Theory of quantized fractional Thouless pumping a, Individually normalized wavefunctions of instantaneous solitons (gP/Jmax = 0.55, 1.65 and 2.75, from left to right), calculated for two periods. WebThouless pumps. Course subject (s) 03. More parameters: charge pumping. WebOct 25, 2024 · In this emerging field of nonlinear topological physics, a recent experiment revealed the quantized motion of localized nonlinear excitations (solitons) upon driving a … oredy strut assembly review

Thouless pumping and topology Nature Reviews Physics

Category:[1507.02223] Topological Thouless Pumping of Ultracold …

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Thouless pumps

[1304.4969] Adiabatic quantum motors

WebJul 27, 2024 · For an adiabatic Thouless pump the number of particles transported by one lattice constant per cycle is given by the Berry phase, i.e., the Berry flux penetrating a … WebDec 10, 2024 · 1. Yes, even in the most general formulation of the Thouless pump, the quantization is ultimately a consequence of the fact that electric charge is quantized, or …

Thouless pumps

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WebThouless pumps have been realized in ultra-cold atoms for both bosons [8] and fermions [9{11], as well as in photonic systems [12]. In a Thouless pump, an integer amount of charge is pumped per pump cycle when adiabatically changing parameters such that a degeneracy (or critical point) is enclosed without closing a gap. The prototypical model WebJun 27, 2024 · original Thouless pump is unlikely to supersede the quantum Hall and Josephon effects as the current standard [13–16]. Non-adiabatic effects on quantized transport in parametric pumps [17–21], of which the Thouless pump is a special case, were studied in [10–12,22–26]. Gen-

WebCorpus ID: 248157305; Breakdown of quantisation in a Hubbard-Thouless pump @inproceedings{Walter2024BreakdownOQ, title={Breakdown of quantisation in a Hubbard-Thouless pump}, author={Anne Walter and Zijie Zhu and Marius G{\"a}chter and Joaqu'in Minguzzi and Stephan and Roschinski and Kilian Sandholzer and Konrad Viebahn and … WebApr 25, 2024 · A prototypical example is a 1981 thought experiment devised by the Nobel-prize-winning physicist Robert Laughlin to explain the quantization of Hall conductance [ 1 …

WebJul 27, 2024 · A Thouless pump is a ‘quantum’ pump, in which the amount of ‘charge’ pumped during one cycle is quantized according to the Chern number — a topological invariant. WebJun 2, 2024 · The Thouless pump is a phenomenon in which $\\mathrm{U}(1)$ charges are pumped from an edge of a fermionic system to another edge. The Thouless pump has been generalized in various dimensions and for various charges. In this paper, we investigate the generalized Thouless pumps of fermion parity in both trivial and non-trivial phases of …

WebOct 25, 2024 · (a) In a Thouless pump, the Wannier functions perform a quantized drift established by the Chern number of the corresponding band. (b) In a nonlinear setting, the motion of a soliton follows the ...

WebWhen parameters are varied periodically, charge can be pumped through a mesoscopic conductor without applied bias. Here, we consider the inverse effect in which a transport current drives a periodic variation of an adi… ore eccedenti wordWebOct 17, 2024 · Nonlinear Thouless pumps for bosons exhibit quantized pumping via soliton motion, despite the lack of a meaningful notion of filled bands. However, the theoretical … oredy shock reviewWebDec 2, 2024 · A Thouless pump is a ‘quantum’ pump, in which the amount of ‘charge’ pumped during one cycle is quantized according to the Chern number — a topological invariant. how to twist a skein of yarnhow to twist hairstylesWebDec 10, 2024 · 1. Yes, even in the most general formulation of the Thouless pump, the quantization is ultimately a consequence of the fact that electric charge is quantized, or equivalently the symmetry group for charge conservation is U (1). – Dominic Else. Dec 10, 2024 at 14:49. Show 2 more comments. how to twist electrical wireWebJan 12, 2024 · Figure 3. The topological Thouless pumping scheme in a discrete NLS platform. (a) The schematic shape of the ITO electrodes are shown for w = 2 μ m and w d … oredy quick strutsWebJan 4, 2024 · A Thouless pump is a ‘quantum’ pump, in which the amount of ‘charge’ pumped during one cycle is quantized according to the Chern number — a topological … oree asbl tribomont