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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

Adiabatic quantum pumping in one-dimensional lattices is extended by adding a tilted potential to probe better topologically nontrivial bands. This extension leads to almost perfectly quantized pumping for an arbitrary initial state…

Quantum Physics · Physics 2020-08-05 Yongguan Ke , Shi Hu , Bo Zhu , Jiangbin Gong , Yuri Kivshar , Chaohong Lee

Fast nonadiabatic control protocols known as shortcuts to adiabaticity have found a plethora of applications, but their use has been severely limited to speeding up the dynamics of isolated quantum systems. We introduce shortcuts for open…

Quantum Physics · Physics 2020-08-06 L. Dupays , I. L. Egusquiza , A. del Campo , A. Chenu

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

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 study a many-atom system exhibiting two competing collective processes: collective decay and collective pumping of excitations, relevant e.g. in cavity QED platforms. We find that the steady state exhibits a sharp transition as a…

Quantum Physics · Physics 2024-08-23 Yoav Shimshi , Ephraim Shahmoon

We use the equations of motion of non-interacting electrons in a one-dimensional system to numerically study different aspects of charge pumping. We study the effects of the pumping frequency, amplitude, band filling and finite bias on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Amit Agarwal , Diptiman Sen

One of the hallmarks of topological systems is the robust quantization of particle transport. It is the origin of the integer-valued quantum Hall conductivity and a potential tool for quantum information technology. Recent experiments on…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Julius Bohm , Hugo Gerlitz , Christina Jörg , Michael Fleischhauer

We establish a steady-state theory for nonlinear optical conductivity in pseudo-Hermitian systems. We derive compact formulas for the first and second order conductivity tensors in both the velocity and length gauges and prove their exact…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 S. Sajad Dabiri , Reza Asgari

Periodically driven quantum systems provide a novel and versatile platform for realizing topological phenomena. Among these are analogs of topological insulators and superconductors, attainable in static systems; however, some of these…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Paraj Titum , Erez Berg , Mark S. Rudner , Gil Refael , Netanel H. Lindner

We clarify the role of non-adiabatic effects in a quantum pumping for a spin-boson system. When we sinusoidally control the temperatures of two reservoirs with \pi/2 phase difference, we find that the pumping current strongly depends on the…

Statistical Mechanics · Physics 2014-11-24 Kota L. Watanabe , Hisao Hayakawa

We study the adiabatic limit in the density matrix approach for a quantum system coupled to a weakly dissipative medium. The energy spectrum of the quantum model is supposed to be non-degenerate. In the absence of dissipation, the geometric…

Quantum Physics · Physics 2015-06-26 A. C. Aguiar Pinto , K. M. Fonseca Romero , M. T. Thomaz

Adiabatic and periodic variation of the lattice parameters can make it possible to transport charge through a system even without net external electric or magnetic fields, known as Thouless charge pumping. The amount of charge pumped in a…

Quantum Gases · Physics 2024-01-17 Suman Mondal , Eric Bertok , Fabian Heidrich-Meisner

Adiabatic protocols are often employed in state preparation schemes but require the system to be driven by a slowly varying Hamiltonian so that transitions between instantaneous eigenstates are exponentially suppressed. Counterdiabatic…

Quantum Physics · Physics 2024-03-20 Callum W. Duncan

Nontrivial spectral properties of non-Hermitian systems can give rise to intriguing effects that lack counterparts in Hermitian systems. For instance, when dynamically varying system parameters along a path enclosing an exceptional point…

This work identifies geometric effects on dynamics due to nonadiabatic couplings in Born Oppenheimer systems and provides a systematic method for deriving corrections to mixed quantum-classical methods. Specifically, an exact path integral…

Chemical Physics · Physics 2007-05-23 Vinod Krishna

There is a close theoretical connection between topological Floquet physics and cavity QED, yet this connection has not been realized experimentally due to complicated cavity QED models that often arise. We propose a simple, experimentally…

Mesoscale and Nanoscale Physics · Physics 2024-11-08 Manshuo Lin , Saeed Rahmanian Koshkaki , Mohsen Yarmohammadi , Michael H. Kolodrubetz

We study dynamical phase transitions occurring in the stationary state of the dynamics of integrable many-body non-hermitian Hamiltonians, which can be either realized as a no-click limit of a stochastic Schr\"{o}dinger equation or using…

Quantum Physics · Physics 2023-04-24 Caterina Zerba , Alessandro Silva

Using a tight-binding model, we study one-parameter charge pumping in a one-dimensional system of non-interacting electrons. An oscillating potential is applied at one site while a static potential is applied in a different region. Using…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Amit Agarwal , Diptiman Sen

Quantum adiabatic pumping of charge and spin between two reservoirs (leads) has recently been demonstrated in nanoscale electronic devices. Pumping occurs when two or more system parameters are varied in a cyclic manner and sufficiently…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Huan-Qiang Zhou , Sam Young Cho , Ross H. McKenzie