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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

The active manipulation of topologically protected states represents a pivotal frontier for quantum technologies, offering a unique confluence of topological robustness and precise quantum control. We propose an adiabatic pumping scheme for…

Quantum Physics · Physics 2025-12-01 Yang Peng , Rui-Shan Li , Yan-Jue Lv , Yi Zheng

Adiabatically pumped charge, carried by non-interacting electrons through a quantum dot in a turnstile geometry, is studied as function of the strength of the two modulating potentials (related to the conductances of the two point-contacts…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Entin-Wohlman , Amnon Aharony

We consider the prototypical "piston pump" operating on a ring, where a circulating current is induced by means of an AC driving. This can be regarded as a generalized Fermi-Ulam model, incorporating a finite-height moving wall (piston) and…

Chaotic Dynamics · Physics 2012-05-08 Maya Chuchem , Thomas Dittrich , Doron Cohen

The interplay between topology and soliton is a central topic in nonlinear topological physics. So far, most studies have been confined to conservative settings. Here, we explore Thouless pumping of dissipative temporal solitons in a…

Quantum Gases · Physics 2024-09-06 Xuzhen Cao , Chunyu Jia , Ying Hu , Zhaoxin Liang

We compare the charges transported in two systems, a spatially periodic and an open quantum pump, both depending periodically and adiabatically on time. The charge transported in a cycle was computed by Thouless, respectively by Buttiker et…

Mathematical Physics · Physics 2009-11-13 Gian Michele Graf , Gregorio Ortelli

The paradigm of Floquet engineering of topological states of matter can be generalized into the time-quasiperiodic scenario, where a lower dimensional time-dependent system maps into a higher dimensional one by combining the physical…

Mesoscale and Nanoscale Physics · Physics 2021-12-07 Zihao Qi , Gil Refael , Yang Peng

We introduce and analyze a class of one dimensional insulating Hamiltonians which, when adiabatically varied in an appropriate closed cycle, define a "$Z_2$ pump". For an isolated system a single closed cycle of the pump changes the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Liang Fu , C. L. Kane

We consider quantum charge pumping of electrons across a superconducting double barrier structure in the adiabatic limit. The superconducting barriers are assumed to be reflection-less so that an incident electron on the barrier can either…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Arijit Saha , Sourin Das

Adiabatic techniques offer some of the most promising tools to achieve high-fidelity control of the centre-of-mass degree of freedom of single atoms. As their main requirement is to follow an eigenstate of the system, constraints on timing…

Quantum Physics · Physics 2013-12-23 T. Morgan , L. J. O'Riordan , N. Crowley , B. O'Sullivan , Th. Busch

In the pursuit of scalable superconducting quantum computing, tunable couplers have emerged as a pivotal component, offering the flexibility required for complex quantum operations of high performance. In most current architectures of…

Quantum Physics · Physics 2025-12-03 Xuan Zhang , Xu Zhang , Changling Chen , Kai Tang , Kangyuan Yi , Kai Luo , Zheshu Xie , Yuanzhen Chen , Tongxing Yan

We elucidate the mechanism for instability of topological Thouless pumping in strongly interacting systems from a viewpoint of symmetry-protected topological phases. If the protecting symmetries of the underlying topological phases change…

Strongly Correlated Electrons · Physics 2018-09-27 Masaya Nakagawa , Tsuneya Yoshida , Robert Peters , Norio Kawakami

We set up a general density-operator approach to geometric steady-state pumping through slowly driven open quantum systems. This approach applies to strongly interacting systems that are weakly coupled to multiple reservoirs at high…

Mesoscale and Nanoscale Physics · Physics 2017-05-11 T. Pluecker , M. R. Wegewijs , J. Splettstoesser

We study the adiabatic quantum pumping characteristics in the graphene modulated by two oscillating gate potentials out of phase. The angular and energy dependence of the pumped current is presented. The direction of the pumped current can…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Rui Zhu , Huiming Chen

The bulk-boundary correspondence of the second-order topological insulator (SOTI) has been well established, but a universal transport signature for open systems is still absent. For a variety of SOTIs induced by applying in-plane magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-11-07 Yuxiong Long^§ , Miaomiao Wei^§ , Fuming Xu , Jian Wang

We develop a unified treatment of pumping and nonequilibrium thermodynamics. We show that the pumping current generated through an adiabatic mechanical operation in equilibrium can be expressed in terms of the stationary distribution of the…

Statistical Mechanics · Physics 2014-08-22 Naoko Nakagawa

We investigate the influence of the Coulomb interaction on the adiabatic pumping current through quantum dots. Using nonequilibrium Green's functions techniques, we derive a general expression for the current based on the instantaneous…

Mesoscale and Nanoscale Physics · Physics 2009-09-16 A. R. Hernández , F. A. Pinheiro , C. H. Lewenkopf , E. R. Mucciolo

This paper is about adiabatic transport in quantum pumps. The notion of ``energy shift'', a self-adjoint operator dual to the Wigner time delay, plays a role in our approach: It determines the current, the dissipation, the noise and the…

Mathematical Physics · Physics 2009-11-10 J. E. Avron , A. Elgart , G. M. Graf , L. Sadun

The quantized Thouless pumping charge in a spinless Rice-Mele (RM) model originates from a degeneracy point in the parameter space and cannot be detected when open boundary conditions are applied. In this work, we investigate the…

Mesoscale and Nanoscale Physics · Physics 2025-01-10 E. S. Ma , Z. Song
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