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Related papers: Periodically driven Quantum Ratchets: Symmetries a…

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We explore the quantum dynamics of particles in a spatiotemporally driven lattice. A powerful numerical scheme is developed, which provides us with the Floquet modes and thus enables a stroboscopic propagation of arbitrary initial states. A…

Quantum Physics · Physics 2014-11-13 Thomas Wulf , Christoph Petri , Benno Liebchen , Peter Schmelcher

We investigate the quantum dynamics of a one-dimensional tight-binding lattice driven by a spatially quadratic and time-periodic potential. Both Hermitian ($J_1 = J_2$) and non-Hermitian ($J_1 \neq J_2$) hopping regimes are analyzed. Within…

Quantum Physics · Physics 2025-12-15 J. Cao , H. Shen , R. Wang , X. Z. Zhang

The theoretical treatment of quasi-periodically driven quantum systems is complicated by the inapplicability of the Floquet theorem, which requires strict periodicity. In this work we consider a quantum system driven by a bi-harmonic…

Statistical Mechanics · Physics 2018-06-26 David Cubero , Ferruccio Renzoni

Stimulated by the recent progress in engineering topological band structures in cold atomic gases, we study the dynamic topological phenomena for atoms loaded in a periodically driven optical lattice. When the frequency of the periodic…

Quantum Gases · Physics 2022-05-02 De-Huan Cai , Wei Yi

Dynamical quantum phase transitions (DQPTs) are characterized by nonanalytic behaviors of physical observables as functions of time. When a system is subject to time-periodic modulations, the nonanalytic signatures of its observables could…

Quantum Physics · Physics 2021-07-02 Longwen Zhou , Qianqian Du

Time periodic forcing in the form of coherent radiation is a standard tool for the coherent manipulation of small quantum systems like single atoms. In the last years, periodic driving has more and more also been considered as a means for…

Quantum Gases · Physics 2017-04-04 André Eckardt

In condensed matter physics, one of the major topics is to find out and classify interesting novel topological matters and phenomena. Topologically nontrivial systems can also be achieved by using periodical driving fields. On the other…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Jin-Yu Zou , Bang-Gui Liu

Periodic driving and Floquet engineering have emerged as invaluable tools for controlling and uncovering novel phenomena in quantum systems. In this study, we adopt these methods to manipulate nonequilibrium processes within…

Quantum Physics · Physics 2023-09-12 Jakob Bätge , Yu Wang , Amikam Levy , Wenjie Dou , Michael Thoss

Periodic driving of quantum dots is analyzed as a basis for developing dynamic switching devices. We study transport through periodically modulated energy levels which are coupled to leads via tunneling coefficients. Utilizing Floquet…

Mesoscale and Nanoscale Physics · Physics 2025-09-10 Jan Mathis Giesen , Daniel Weber , Sebastian Eggert

We investigate the dynamics of quantum particles in a ratchet potential subject to an ac force field. We develop a perturbative approach for weak ratchet potentials and force fields. Within this approach, we obtain an analytic description…

Statistical Mechanics · Physics 2009-11-07 Stefan Scheidl , Valerii M. Vinokur

We consider wave transport phenomena in a $\mathcal{PT}$-symmetric extension of the periodically-kicked quantum rotator model and reveal that dynamical localization assists the unbroken $\mathcal{PT}$ phase. In the delocalized (quantum…

Quantum Physics · Physics 2017-01-25 Stefano Longhi

Cold atoms in optical lattices have emerged as an ideal system to investigate the ratchet effect, as demonstrated by several recent experiments. In this work we analyze theoretically two aspects of ac driven transport in cold atoms…

Statistical Mechanics · Physics 2010-02-03 A. B. Kolton , F. Renzoni

We investigate the quantum ratchet effect under the influence of weak dissipation which we treat within a Floquet-Markov master equation approach. A ratchet current emerges when all relevant symmetries are violated. Using time-reversal…

Other Condensed Matter · Physics 2009-02-25 S. Denisov , S. Kohler , P. Hanggi

Dynamical quantum phase transitions (DQPTs) are manifested by time-domain nonanalytic behaviors of many-body systems.Introducing a quench is so far understood as a typical scenario to induce DQPTs.In this work, we discover a novel type of…

Using the method of quantum trajectories we study a quantum chaotic dissipative ratchet appearing for particles in a pulsed asymmetric potential in the presence of a dissipative environment. The system is characterized by directed transport…

Statistical Mechanics · Physics 2007-05-23 Gabriel G. Carlo , Giuliano Benenti , Giulio Casati , Dima L. Shepelyansky

This paper investigates the dynamical phases of Floquet Conformal Field Theories (CFTs) in space-time dimensions greater than two. Building upon our previous work [1] which introduced quaternionic representations for studying Floquet…

High Energy Physics - Theory · Physics 2026-02-17 Diptarka Das , Sumit R. Das , Arnab Kundu , Krishnendu Sengupta

We investigate the role of symmetries in determining the random matrix class describing quantum thermalization in a periodically driven many body quantum system. Using a combination of analytical arguments and numerical exact…

Statistical Mechanics · Physics 2016-03-18 N. Regnault , Rahul Nandkishore

Electrons in a lattice exhibit time-periodic motion, known as Bloch oscillation, when subject to an additional static electric field. Here we show that a corresponding dynamics can occur upon replacing the spatially periodic potential by a…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Vanessa Junk , Phillipp Reck , Cosimo Gorini , Klaus Richter

Quantum-resonance ratchets have been realized over the last ten years for the production of directed currents of atoms. These non-dissipative systems are based on the interaction of a Bose-Einstein condensate with an optical standing wave…

Floquet engineering, i.e. driving the system with periodic Hamiltonians, not only provides great flexibility in analog quantum simulation, but also supports phase structures of great richness. It has been proposed that Floquet systems can…

Quantum Physics · Physics 2021-08-03 Huikai Xu , Jingning Zhang , Jiaxiu Han , Zhiyuan Li , Guangming Xue , Weiyang Liu , Yirong Jin , Haifeng Yu