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When it comes to applying the adiabatic theorem in practice, the key question to be answered is how slow "slowly enough" is. This question can be an intricate one, especially for many-body systems, where the limits of slow driving and large…

Quantum Gases · Physics 2018-04-04 Oleg Lychkovskiy , Oleksandr Gamayun , Vadim Cheianov

We demonstrate nonadiabatic Thouless pumping of electrons in trans-polyacetylene in the framework of Floquet engineering using first-principles theory. We identify the regimes in which the quantized pump is operative with respect to the…

Materials Science · Physics 2023-03-16 Ruiyi Zhou , Dillon C. Yost , Yosuke Kanai

In adiabatic Cooper pair pumps, operated by means of gate voltage modulation only, the quantization of the pumped charge during a cycle is limited due to the quantum coherence of the macroscopic superconducting wave function. In this work…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 Shabnam Safaei , Simone Montangero , Fabio Taddei , Rosario Fazio

This paper is devoted to the analysis of an abstract formula describing quantum adiabatic charge pumping in a general context. We consider closed systems characterized by a slowly varying time-dependent Hamiltonian depending on an external…

Mathematical Physics · Physics 2010-02-08 A. Joye , V. Brosco , F. Hekking

We analyze a tight binding model of two coupled chains with strongly interacting fermions. Depending on the parameter $w$, the many body lowest energy band consists of either single particles or bound pairs. A topological quantum pump can…

Strongly Correlated Electrons · Physics 2019-02-20 Bart van Voorden , Kareljan Schoutens

We introduce a method where successive coordinate transformations are applied to decrease the error in the adiabatic master equation resulting from truncation in the local adiabatic parameter. Our method reduces the nonphysical behaviour…

Superconductivity · Physics 2011-12-22 Juha Salmilehto , Mikko Möttönen

The one-dimensional Rice-Mele lattice consisting of two-site unit cells enables topological charge pumping at low enough temperatures. We show here that energy pumping is feasible in this system. We analyze energy polarization using the…

Mesoscale and Nanoscale Physics · Physics 2023-03-06 Kiminori Hattori , Kodai Ishikawa , Yuma Kaneko

Alkaline-earth(-like) ultracold atoms, trapped in optical lattices and in the presence of an external gauge field, can stabilise Mott insulating phases characterised by density and magnetic order. We show that this property can be used to…

Quantum Gases · Physics 2017-06-14 Luca Taddia , Eyal Cornfeld , Davide Rossini , Leonardo Mazza , Eran Sela , Rosario Fazio

Using matrix product state techniques we study the nonequilibrium dynamical response of the half-filled Hubbard ladder when subject to an optical pump. Optical pumping offers a way of producing and manipulating new strongly correlated…

Strongly Correlated Electrons · Physics 2026-04-14 E. Merhej , J. P. Hague , R. M. Konik , A. J. A. James

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

We review recent theoretical calculations of charge transfer through mesoscopic devices in response to slowly-oscillating, spatially-confined, potentials. The discussion is restricted to non-interacting electrons, and emphasizes the role of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ora Entin-Wohlman , Amnon Aharony , Vyacheslavs Kashcheyevs

We study non-adiabatic two-parameter charge and spin pumping through a single-level quantum dot with Coulomb interaction. For the limit of weak tunnel coupling and in the regime of pumping frequencies up to the tunneling rates, $\Omega…

Mesoscale and Nanoscale Physics · Physics 2011-10-10 Fabio Cavaliere , Michele Governale , Jürgen König

Non-adiabatic pumping of discrete charges, realized by a dynamical quantum dot in an AlGaAs/GaAs heterostructure, is studied under influence of a perpendicular magnetic field. Application of an oscillating voltage in the GHz-range to one of…

The pillars of quantum theory include entanglement and operators' failure to commute. The Page curve quantifies the bipartite entanglement of a many-body system in a random pure state. This entanglement is known to decrease if one…

Quantum Physics · Physics 2023-01-05 Shayan Majidy , Aleksander Lasek , David A. Huse , Nicole Yunger Halpern

Based on the scattering matrix approach, we systematically investigate the anharmonic effect of the pumped current in double-barrier structures with adiabatic time-modulation of two sinusoidal AC driven potential heights. The pumped current…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 Wei-Yin Deng , Ke-Ju Zhong , Rui Zhu , Wen-Ji Deng

We propose a theoretical scenario for pumping of fractionally charged quasi-particle in the context of $\nu=1/3$ fractional quantum Hall liquid. We consider quasi-particle pumping across an anti-dot level tuned close to the resonance.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sourin Das , Vadim Shpitalnik

Based on the Floquet scattering theory, we analytically investigate the topological spin pumping for an exactly solvable model. Floquet spin Chern numbers are introduced to characterize the periodically time-dependent system. The…

Mesoscale and Nanoscale Physics · Physics 2018-09-13 W. Y. Deng , W. Luo , H. Geng , M. N. Chen , L. Sheng , D. Y. Xing

Thouless pumping provides one of the simplest manifestations of topology in quantum systems, and has attracted a lot of recent interest, both theoretically and experimentally. Since the seminal works by Thouless and Niu in 1983 and 1984, it…

Quantum Gases · Physics 2023-02-13 Roberta Citro , Monika Aidelsburger

We consider the adiabatic pumping of charge through a mesoscopic one dimensional wire in the presence of electron-electron interactions. A two-delta potential model is used to describe the wire, which allows to obtain exactly the scattering…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pierre Devillard , Vladimir Gasparian , Thierry Martin

We examine adiabatic quantum pumping generated by an oscillating scatterer embedded in a one-dimensional ballistic ring and compare it with pumping caused by the same scatterer connected to external reservoirs. The pumped current for an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Moskalets , M. Buttiker
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