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The interplay between Floquet periodically driving and non-Hermiticity could bring about intriguing novel phenomena with anomalous Floquet topological phases of a finite-size, tight-binding lattice model. How to efficiently investigate on…

Other Condensed Matter · Physics 2025-08-04 Yifei Xia , Xiumei Wang , Yali Li , Xingping Zhou

Quantum decay in an ac driven biased periodic potential modeling cold atoms in optical lattices is studied for a symmetry broken driving. For the case of fully chaotic classical dynamics the classical exponential decay is quantum…

Quantum Physics · Physics 2009-11-11 S. Mossmann , C. Schumann , H. J. Korsch

Quantum simulation has the potential to investigate gauge theories in strongly-interacting regimes, which are up to now inaccessible through conventional numerical techniques. Here, we take a first step in this direction by implementing a…

We study the quantum version of a tilting and flashing Hamiltonian ratchets, consisting of a periodic potential and a time-periodic driving field. The system dynamics is governed by a Floquet evolution matrix bearing the symmetry of the…

Quantum Physics · Physics 2009-11-13 S. Denisov , L. Morales-Molina , S. Flach , P. Hanggi

Amplitude modulation of a tilted optical lattice can be used to steer the quantum transport of matter wave packets in a very flexible way. This allows the experimental study of the phase sensitivity in a multimode interferometer based on…

Atomic Physics · Physics 2013-03-15 Marco G. Tarallo , Nicola Poli , F. Y. Wang , Guglielmo M. Tino

Quantum simulation with ultracold atoms provides a versatile platform to emulate condensed-matter models. In particular, momentum-space lattices enable the realization of programmable tight-binding Hamiltonians. Here, we generalize this…

Quantum Gases · Physics 2026-04-28 D. Ronco , F. Arrouas , N. Ombredane , E. Flament , Q. Levoy , B. Peaudecerf , D. Guéry-Odelin

Periodically driven quantum systems exhibit many fascinating phenomena absent in equilibrium systems, but their simulation is more challenging than that of static systems. Consequently, quantum simulation of these systems offers greater…

Quantum Physics · Physics 2025-06-03 Abhishek Kumar , Karunya Shirali , Nicholas J. Mayhall , Sophia E. Economou , Edwin Barnes

We study a periodically driven qubit coupled to a quantized cavity mode. Despite its apparent simplicity, this system supports a rich variety of exotic phenomena, such as topological frequency conversion as recently discovered in [Martin et…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Frederik Nathan , Gil Refael , Mark S. Rudner , Ivar Martin

We demonstrate the control of vortical motion of neutral classical particles in driven superlattices. Our superlattice consists of a superposition of individual lattices whose potential depths are modulated periodically in time but with…

Chaotic Dynamics · Physics 2020-09-30 Aritra K. Mukhopadhyay , Peter Schmelcher

Within the Floquet theory of periodically driven quantum systems, we demonstrate that a high-frequency electromagnetic field can be used as an effective tool to control excitonic properties of semiconductor quantum dots (QDs). It is shown,…

Mesoscale and Nanoscale Physics · Physics 2022-04-14 I. V. Iorsh , D. A. Zezyulin , S. A. Kolodny , R. E. Sinitsky , O. V. Kibis

It is shown that optimum control of dynamical localization (quantum suppression of classical diffusion) in the context of ultracold atoms in periodically shaken optical lattices subjected to time-periodic forces having equidistant zeros…

Quantum Physics · Physics 2014-09-17 F. Revuelta , R. Chacón , F. Borondo

We consider a quantum particle in a one-dimensional disordered lattice with Anderson localization, in the presence of multi-frequency perturbations of the onsite energies. Using the Floquet representation, we transform the eigenvalue…

Disordered Systems and Neural Networks · Physics 2016-06-15 H. Hatami , C. Danieli , J. D. Bodyfelt , S. Flach

We describe a method to create fractional quantum Hall states of atoms confined in optical lattices. We show that the dynamics of the atoms in the lattice is analogous to the motion of a charged particle in a magnetic field if an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anders S. Sorensen , Eugene Demler , Mikhail D. Lukin

Photonic lattices enable experimental exploration of transport and localization phenomena, two of the mayor goals in physics and technology. In particular, the optical excitation of some lattice sites which evanescently couple to a lattice…

We present a theory of periodically driven, many-body localized (MBL) systems. We argue that MBL persists under periodic driving at high enough driving frequency: The Floquet operator (evolution operator over one driving period) can be…

Disordered Systems and Neural Networks · Physics 2017-01-30 Dmitry Abanin , Wojciech De Roeck , François Huveneers

The quantum diffusion of a particle in an initially localized state on a cyclic lattice with N sites is studied. Diffusion and reconstruction time are calculated. Strong differences are found for even or odd number of sites and the limit…

Quantum Physics · Physics 2007-05-23 A. C. de la Torre , H. O. Martin , D. Goyeneche

When a physical system is subjected to a strong external multi-frequency drive, its dynamics can be conveniently represented in the multi-dimensional Floquet lattice. The number of the Floquet lattice dimensions equals the number of {\em…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Ivar Martin , Gil Refael , Bertrand Halperin

Quantum systems can be dynamically controlled using time-periodic external fields, leading to the concept of Floquet engineering, with promising technological applications. Computing Floquet energy spectra is harder than only computing…

Quantum Physics · Physics 2023-07-26 Benedikt Fauseweh , Jian-Xin Zhu

Subjecting a physical system to a time-periodic drive can substantially modify its properties and applications. This Floquet-engineering approach has been extensively applied to a wide range of classical and quantum settings in view of…

Optics · Physics 2023-11-21 Nathan Goldman

We investigate subgap quasiparticles of a single level quantum dot coupled to the superconducting and normal leads, whose energy level is periodically driven by external potential. Using the Floquet formalism we determine the quasienergies…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 B. Baran , T. Domański