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We study the mechanisms responsible for quantum diffusion in the quasiperiodic kicked rotor. We report experimental measurements of the diffusion constant on the atomic version of the system and develop a theoretical approach (based on the…

Quantum Physics · Physics 2007-05-23 Hans Lignier , Jean Claude Garreau , Pascal Szriftgiser , Dominique Delande

Hamiltonians which are inaccessible in static systems can be engineered in periodically driven many-body systems, i.e., Floquet many-body systems. We propose to use interacting particles in a one-dimensional (1D) harmonic potential with…

Quantum Physics · Physics 2018-02-19 Pengfei Liang , Michael Marthaler , Lingzhen Guo

We study the resonance phenomena for time periodic perturbations of a Hamiltonian $H$ on the Hilbert space $L^2(\mathbb R ^d)$. Here, resonances are characterized in terms of time behavior of the survival probability. Our approach uses the…

Spectral Theory · Mathematics 2013-05-29 Philippe Briet , Claudio Fernandez

The Mollow triplet is a fundamental signature of quantum optics, and has been observed in numerous quantum systems. Although it arises in the 'strong driving' regime of the quantized field, where the atoms undergo coherent oscillations, it…

Quantum Physics · Physics 2021-02-17 Guoqing Wang , Yi-Xiang Liu , Paola Cappellaro

Floquet (periodically driven) systems can give rise to unique non-equilibrium phases of matter without equilibrium analogs. The most prominent example is the realization of discrete time crystals. An intriguing question emerges: what other…

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

A saddle point plus fluctuations analysis of the periodically driven half-filled two-dimensional Hubbard model is performed. For drive frequencies below the equilibrium gap, we find discontinuous transitions to time-dependent solutions. A…

Strongly Correlated Electrons · Physics 2019-09-25 Nicklas Walldorf , Dante M. Kennes , Jens Paaske , Andrew J. Millis

Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just tuning the external field in…

Quantum Physics · Physics 2024-11-20 Álvaro Gómez-León

We are considering the time-dependent transport through a discrete system, consiting of a quantum dot T-coupled to an infinite tight-binding chain. The periodic driving that is induced on the coupling between the dot and the chain, leads to…

For a periodically driven quantum system an effective time-independent Hamiltonian is derived with an eigen-energy spectrum, which in the regime of large driving frequencies approximates the quasi-energies of the corresponding Floquet…

Quantum Gases · Physics 2015-05-19 Andreas Hemmerich

We introduce a framework for designing Hamiltonian engineering pulse sequences that systematically accounts for the effects of higher-order contributions to the Floquet-Magnus expansion. Our techniques result in simple, intuitive decoupling…

Quantum Physics · Physics 2024-01-15 Matthew Tyler , Hengyun Zhou , Leigh S. Martin , Nathaniel Leitao , Mikhail D. Lukin

Non-equilibrium control of electronic properties in condensed matter systems can result in novel phenomena. In this work, we provide a novel non-equilibrium route to realize half-metallic phases. We explore the periodically driven Hubbard…

Strongly Correlated Electrons · Physics 2025-07-15 Suryashekhar Kusari , Arnab Das , H. R. Krishnamurthy , Arti Garg

Floquet engineering, while a powerful tool for ultrafast quantum-state manipulation, faces challenges under strong-field conditions, as recent high harmonic generation studies unveil exceptionally short dephasing times. In this study, using…

Periodically driven quantum systems known as Floquet insulators can host topologically protected bound states known as "$\pi$ modes" that exhibit response at half the frequency of the drive. Such states can also appear in undriven lattice…

Quantum Physics · Physics 2023-11-13 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen

We study the stroboscopic dynamics of hinge modes of a second-order topological material modeled by a tight-binding free fermion Hamiltonian on a cubic lattice in the intermediate drive frequency regime for both discrete (square pulse) and…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Somsubhra Ghosh , Kush Saha , K. Sengupta

We study the effect of time-periodically varying the hopping amplitude in a one-dimensional Bose-Hubbard model, such that its time-averaged value is zero. Employing Floquet theory, we derive a static effective Hamiltonian in which…

Quantum Gases · Physics 2018-08-03 Gregor Pieplow , Fernando Sols , Charles E. Creffield

We demonstrate that a site-dependent driving of a periodic potential allows for the controlled manipulation of a quantum particle on length scales of the lattice spacing. Specifically we observe for distinct driving frequencies a near…

Quantum Physics · Physics 2015-05-20 Thomas Wulf , Benno Liebchen , Peter Schmelcher

Periodically driven quantum systems, known as Floquet systems, have been a focus of non-equilibrium physics in recent years, thanks to their rich dynamics. Not only time-periodic systems exhibit symmetries similar to those in spatially…

Quantum Physics · Physics 2021-10-01 Guoqing Wang , Changhao Li , Paola Cappellaro

Higgs modes emerge in superconductors as collective excitations of the order parameter amplitude when periodically driven by electromagnetic radiation. In this work, we develop a Floquet approach to study Higgs modes in superconductors…

Superconductivity · Physics 2024-06-05 Tobias Kuhn , Björn Sothmann , Jorge Cayao

Long-range hoppings in quantum disordered systems are known to yield quantum multifractality, whose features can go beyond the characteristic properties associated with an Anderson transition. Indeed, critical dynamics of long-range quantum…

Disordered Systems and Neural Networks · Physics 2023-12-27 Weitao Chen , Gabriel Lemarie , Jiangbin Gong