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The periodically driven quantum Ising chain has recently attracted a large attention in the context of Floquet engineering. In addition to the common paramagnet and ferromagnet, this driven model can give rise to new topological phases. In…

Quantum Gases · Physics 2017-07-26 Angelo Russomanno , Bat-el Friedman , Emanuele G. Dalla Torre

Adiabatic pumping is a fundamental concept in the time-dependent transport of mesoscopic devices. To maximize pumping performance, i.e., the amount of pumping per unit time, it is necessary to carefully manage the driving speed, which…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Masahiro Hasegawa , Takeo Kato

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

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

Strongly driven nonlinear systems are frequently encountered in physics, yet their accurate control is generally challenging due to the intricate dynamics. In this work, we present a non-perturbative, semi-analytical framework for tailoring…

Quantum Physics · Physics 2025-04-15 Kento Taniguchi , Atsushi Noguchi , Takashi Oka

We develop the Floquet scattering theory for quantum mechanical pumping in mesoscopic conductors. The nonequilibrium distribution function, the dc charge and heat currents are investigated at arbitrary pumping amplitude and frequency. For…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Moskalets , M. Buttiker

Controllability of ultracold atomic gases has reached an unprecedented level, allowing for experimental realization of the long-sought-after Thouless pump, which can be interpreted as a dynamical quantum Hall effect. On the other hand, Weyl…

Quantum Gases · Physics 2018-11-14 Yan-Bin Yang , L. -M. Duan , Yong Xu

We consider the dynamics of a droplet on a vibrating fluid bath. This hydrodynamic quantum analog system is shown to elicit the canonical behavior of damped-driven systems, including a period doubling route to chaos. By approximating the…

Dynamical Systems · Mathematics 2022-11-10 Aminur Rahman , J. Nathan Kutz

Quantized adiabatic transport can occur when a system is slowly modulated over time. In most realizations however, the efficiency of such transport is reduced by unwanted dissipation, back-scattering, and non-adiabatic effects. In this…

We find nonequilibrium phase transitions accompanied by multiple (nested) hysteresis behaviors in superconductors coupled to baths under a time-periodic light driving. The transitions are demonstrated with a full phase diagram in the domain…

Superconductivity · Physics 2025-12-23 Huanyu Zhang , Kazuaki Takasan , Naoto Tsuji

Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties, in analogy with the quantized transport properties of topological insulators. We use a single nitrogen-vacancy center in diamond to…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Eric Boyers , Philip J. D. Crowley , Anushya Chandran , Alexander O. Sushkov

Topological phases are robust against weak perturbations, but break down when disorder becomes sufficiently strong. However, moderate disorder can also induce topologically nontrivial phases. Thouless pumping, as a (1+1)D counterpart of the…

Recently, anomalous Floquet topological phases without static counterparts have been observed in different systems, where periodically driven models are realized to support a winding number of 1 and a pair of edge modes in each quasienergy…

Quantum Gases · Physics 2024-03-20 Kaiye Shi , Xiang Zhang , Wei Zhang

We discuss the emergence of nonadiabatic behavior in the dynamics of the order parameter in a low-dimensional quantum many-body system subject to a linear ramp of one of its parameters. While performing a ramp within a gapped phase seems to…

Statistical Mechanics · Physics 2014-09-25 Anna Maraga , Pietro Smacchia , Michele Fabrizio , Alessandro Silva

Quantum manipulation based on geometric phases provides a promising way towards robust quantum gates. However, in the current implementation of nonadiabatic geometric phases, operational and/or random errors tend to destruct the conditions…

Quantum Physics · Physics 2021-03-17 Jian Zhou , Sai Li , Guo-Zhu Pan , Gang Zhang , Tao Chen , Zheng-Yuan Xue

A primer on the Floquet theory of periodically time-dependent quantum systems is provided, and it is shown how to apply this framework for computing the quasienergy band structure governing the dynamics of ultracold atoms in driven optical…

Quantum Physics · Physics 2015-11-30 Martin Holthaus

Periodically driven, or Floquet, disordered quantum systems have generated many unexpected discoveries of late, such as the anomalous Floquet Anderson insulator and the discrete time crystal. Here, we report the emergence of an entire band…

Disordered Systems and Neural Networks · Physics 2018-05-22 Sthitadhi Roy , Ivan M. Khaymovich , Arnab Das , Roderich Moessner

We propose an experimentally feasible scheme to achieve quantum computation based on nonadiabatic geometric phase shifts, in which a cyclic geometric phase is used to realize a set of universal quantum gates. Physical implementation of this…

Quantum Physics · Physics 2009-11-07 Shi-Liang Zhu , Z. D. Wang

A universal feature of topological insulators is that they cannot be adiabatically connected to an atomic limit, where individual lattice sites are completely decoupled. This property is intimately related to a topological obstruction to…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Masaya Nakagawa , Robert-Jan Slager , Sho Higashikawa , Takashi Oka

The adiabatic topological pumping is proposed by periodically modulating a semiconductor nanowire double-quantum-dot chain. We demonstrate that the quantized charge transport can be achieved by a nontrivial modulation of the quantum-dot…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Zhi-Hai Liu , H. Q. Xu