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We study adiabatic quantum pumps on time scales that are short relative to the cycle of the pump. In this regime the pump is characterized by the matrix of energy shift which we introduce as the dual to Wigner's time delay. The energy shift…

Mathematical Physics · Physics 2009-11-07 J. E. Avron , A. Elgart , G. M. Graf , L. Sadun

We study symmetry preserving adiabatic and Floquet dynamics of one-dimensional systems. Using quasiadiabatic evolution, we establish a correspondence between adiabatic cycles and invertible defects generated by spatially truncated Thouless…

Strongly Correlated Electrons · Physics 2025-10-03 Yabo Li , Matteo Dell'acqua , Aditi Mitra

Recent theoretical calculations, demonstrating that quantized charge transfer due to adiabatically modulated potentials in mesoscopic devices can result purely from the interference of the electron wave functions (without invoking…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 O. Entin-Wohlman , A. Aharony , V. Kashcheyevs

We investigate the longitudinal conductance of a disordered three-dimensional (3D) quantum Hall system within a tight-binding lattice model using numerical Thouless conductance calculations. For the bulk, we confirm that the mobility edges…

Disordered Systems and Neural Networks · Physics 2020-08-18 Chao Zheng , Kun Yang , Xin Wan

Thouless pumping, not only achieving quantized transport but also immune to moderate disorder, has attracted growing attention in both experiments and theories. Here, we explore how particle-particle interactions affect topological…

Quantum Physics · Physics 2022-08-18 Wenjie Liu , Shi Hu , Li Zhang , Yongguan Ke , Chaohong Lee

We theoretically investigate a Thouless pumping scheme in the 1D topological Su-Schrieffer-Heeger (SSH) model for single and multiple band-gaps systems when implemented in a discrete nematic liquid crystal arrangement. For an electrically…

We define and study analogs of the Thouless charge pump for many-body gapped systems in dimension $D$. We show how to attach a topological invariant to a $D$-dimensional family of such systems, provided all of them have an on-site $U(1)$…

Strongly Correlated Electrons · Physics 2020-03-24 Anton Kapustin , Lev Spodyneiko

The possibility of non-adiabatic electron pumping in the system of three coupled quantum dots attached to the leads is discussed. We have found out that periodical changing of energy level position in the middle quantum dot results in non…

Mesoscale and Nanoscale Physics · Physics 2012-06-25 P. I. Arseyev , N. S. Maslova , V. N. Mantsevich

Motivated by the recent developments in fermionic cold atoms and in nanostructured systems, we propose the model of a peristaltic quantum pump. Differently from the Thouless paradigm, a peristaltic pump is a quantum device that generates a…

Quantum Gases · Physics 2018-06-01 F. Romeo , R. Citro

In this article, we briefly review dynamical and thermodynamical aspects of different forms of quantum motors and quantum pumps. We then extend previous results to provide new theoretical tools for a systematic study of those phenomena at…

Mesoscale and Nanoscale Physics · Physics 2019-08-26 Raúl A. Bustos-Marún , Hernan L. Calvo

We consider quantum statistics of charge transmitted through a mesoscopic device in the adiabatic pumping process. A general formula for the distribution function of the transmitted charge in terms of the time-dependent S-matrix is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Anton Andreev , Alex Kamenev

We study Thouless pumping and arresting of gap solitons in a two-component Bose gas loaded into an optical superlattice. We show that, depending on the atomic interactions and chemical potentials, the two solitons can be simultaneously…

Quantum Gases · Physics 2024-10-11 Hao Lyu , Yongping Zhang , Thomas Busch

Non-abelian gauge fields emerge naturally in the description of adiabatically evolving quantum systems having degenerate levels. Here we show that they also play a role in Thouless pumping in the presence of degenerate bands. To this end we…

Mesoscale and Nanoscale Physics · Physics 2021-07-02 Valentina Brosco , Laura Pilozzi , Rosario Fazio , Claudio Conti

We investigate the effects of random onsite disorder on higher-order Thouless pumping of noninteracting fermionic Benalcazar-Bernevig-Hughes (BBH) model. The interplay of disorderinduced topological phase transition and…

Mesoscale and Nanoscale Physics · Physics 2023-04-07 Congwei Lu , Zhao-Fan Cai , Haibo Wang , Qing Ai , Tao Liu

Topological pumping of ultracold atomic gases has recently been demonstrated in two experiments (Nat. Phys. 12, 296; 12, 350 (2016)). Here we study the topological pumping of a single magnon in a dynamically controlled spin-dependent…

Quantum Gases · Physics 2019-01-18 Feng Mei , Gang Chen , Liantuan Xiao , Suotang Jia

From molecular machines to quantum dots, a wide range of mesoscopic systems can be modeled by periodically driven Markov processes, or stochastic pumps. Currents in the stochastic pumps are delimited by an exact no-go condition called the…

Statistical Mechanics · Physics 2014-12-10 Dibyendu Mandal

We derived a general and exact expression of current for quantum parametric charge pumps in the non-adiabatic regime at finite pumping frequency and finite driving amplitude. The non-perturbative theory predicts a remarkable plateau…

Condensed Matter · Physics 2009-11-07 Baigeng Wang , Jian Wang , Hong Guo

We study the dynamics of the pump mode in the down-conversion Hamiltonian using the cumulant expansion method, perturbation theory, and the full numerical simulation of systems with a pump mean photon number of up to one hundred thousand.…

Quantum Physics · Physics 2024-08-21 Karthik Chinni , Nicolás Quesada

A Thouless pump transports an integer amount of charge when pumping adiabatically around a singularity. We study the splitting of such a critical point into two separate critical points by adding a Hubbard interaction. Furthermore, we…

Quantum Gases · Physics 2022-08-02 E. Bertok , F. Heidrich-Meisner , A. A. Aligia

Current can be pumped through a closed system by changing parameters (or fields) in time. Linear response theory (the Kubo formula) allows to analyze both the charge transport and the associated dissipation effect. We make a distinction…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Doron Cohen