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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

Thouless pumping is a fundamental instance of quantized transport, which is topologically protected. Although its theoretical importance, the adiabaticity condition is an obstacle for further practical applications. Here, focusing on the…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 S. Malikis , V. Cheianov

A sweep through a quantum phase transition by means of a time-dependent external parameter (e.g., pressure) entails non-equilibrium phenomena associated with a break-down of adiabaticity: At the critical point, the energy gap vanishes and…

Quantum Physics · Physics 2015-05-18 Ralf Schützhold

We study the collective dephasing process of a system of non-interacting atomic qubits, immersed in a spatially uniform magnetic field of fluctuating intensity. The correlation properties of bipartite states are analysed based on a…

Quantum Physics · Physics 2016-07-13 Edoardo G. Carnio , Andreas Buchleitner , Manuel Gessner

We investigate the formation of quasisteady states in one-dimensional pumps of interacting fermions at non-integer filling fraction, in the regime where the driving frequency and interaction strength are small compared to the instantaneous…

Quantum Gases · Physics 2022-05-24 Raffael Gawatz , Ajit C. Balram , Erez Berg , Netanel H. Lindner , Mark S. Rudner

By stating the adiabatic theorem of quantum mechanics in a clear and rigorous way, we establish a necessary condition and a sufficient condition for its validity, where the latter is obtained employing our recently developed adiabatic…

Quantum Physics · Physics 2012-06-19 Gustavo Rigolin , Gerardo Ortiz

We investigate the statistical fluctuations of currents in chaotic quantum dots induced by pumping and rectification at finite temperature and in the presence of dephasing. In open quantum dots, dc currents can be generated by the action of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Martinez-Mares , C. H. Lewenkopf , E. R. Mucciolo

We discuss the statistical correlation properties of currents and energy flows generated by an adiabatic quantum pump. Our approach emphasizes the important role of quantized energy exchange between the sea of electrons and the oscillating…

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

We introduce a model for a flux-assisted Cooper-pair pump, the sluice, which is used to study geometric charge transport. Our model allows for a nonvanishing loop inductance going beyond the usual treatment with an exact phase bias. We…

Quantum Physics · Physics 2012-11-21 J. Salmilehto , M. Möttönen

We present a general formalism to study adiabatic pumping through interacting quantum dots. We derive a formula that relates the pumped charge to the local, instantaneous Green function of the dot. This formula is then applied to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Janine Splettstoesser , Michele Governale , Jürgen König , Rosario Fazio

The adiabatic theorem and "shortcuts to adiabaticity" for the adiabatic dynamics of time-dependent decoherence-free subspaces are explored in this paper. Starting from the definition of the dynamical stable decoherence-free subspaces, we…

Quantum Physics · Physics 2017-10-25 S. L. Wu , X. L. Huang , H. Li , X. X. Yi

Recent experiments with increasingly larger numbers of qubits have sparked renewed interest in adiabatic quantum computation, and in particular quantum annealing. A central question that is repeatedly asked is whether quantum features of…

Quantum Physics · Physics 2015-06-22 Tameem Albash , Daniel A. Lidar

We establish a connection between macroscopic "heating or cooling" of a finite many-body quantum system and the non-adiabatic Landau-Zener-St\"{u}ckelberg transitions between its quantum states. We have considered the well-known Nilsson…

Nuclear Theory · Physics 2019-11-12 Nishchal R. Dwivedi , Sudhir R. Jain

Quantum decoherence is of primary importance for relaxation to an equilibrium distribution and, accordingly, for equilibrium processes. We demonstrate how coherence breaking implies evolution to a microcanonical distribution…

Quantum Physics · Physics 2008-02-03 Stefan V. Mashkevich , Vladimir S. Mashkevich

A key insight from recent studies is that noise, such as dephasing, can improve the efficiency of quantum transport by suppressing coherent single-particle interference effects. However, it is not yet clear whether dephasing can enhance…

Quantum Physics · Physics 2015-04-27 J. J. Mendoza-Arenas , T. Grujic , D. Jaksch , S. R. Clark

A topological charge pump [1] transfers charge in a quantized fashion. The quantization is stable against the detailed form of the pumping protocols and external noises and shares the same topological origin as the quantum Hall effect. We…

Quantum Gases · Physics 2013-07-11 Lei Wang , Matthias Troyer , Xi Dai

We investigate the pumped charge and spin at zero-bias by adiabatic modulation of two control parameters using the full counting statistics with quantum master equation approach. First we study higher order effects of the pumping frequency…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 Satoshi Nakajima , Masahiko Taguchi , Toshihiro Kubo , Yasuhiro Tokura

The adiabatic theorem is a fundamental result established in the early days of quantum mechanics, which states that a system can be kept arbitrarily close to the instantaneous ground state of its Hamiltonian if the latter varies in time…

Quantum Gases · Physics 2022-06-01 Oleg Lychkovskiy , Oleksandr Gamayun , Vadim Cheianov

New exact results about the nonequilibrium thermodynamics of open quantum systems at arbitrary timescales are obtained by considering all possible variations of initial conditions of a system, its environment, and correlations between them.…

Statistical Mechanics · Physics 2021-05-05 Paul M. Riechers , Mile Gu

Entanglement is the central resource in adiabatic quantum transport. Dephasing affects the availability of that resource by biasing trajectories, driving transitions between success and failure. This depletion of entanglement is important…