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Employing the external degrees of freedom of atoms as synthetic dimensions renders easy and new accesses to quantum engineering and quantum simulation. As a recent development, ultracold atoms suffering from two-photon Bragg transitions can…

Quantum Gases · Physics 2020-09-22 Teng Xiao , Dizhou Xie , Wei Gou , and Tao Chen , Tian-Shu Deng , Wei Yi , Bo Yan

The radiation-pressure interaction between one or more laser fields and a mechanical oscillator gives rise to a wide range of phenomena: from sideband cooling and backaction-evading measurements to pondermotive and mechanical squeezing to…

We present a new technique for stabilizing and monitoring Bloch oscillations of ultracold atoms in an optical lattice under the action of a constant external force. In the proposed scheme, the atoms also interact with a unidirectionally…

Quantum Gases · Physics 2015-03-31 M. Samoylova , N. Piovella , D. Hunter , G. R. M. Robb , R. Bachelard , Ph. W. Courteille

A photonic realization of Bloch oscillations (BOs) of two correlated electrons that move on a one-dimensional periodic lattice, based on spatial light transport in a square waveguide array with a defect line, is theoretically proposed. The…

Strongly Correlated Electrons · Physics 2015-06-03 Stefano Longhi

Quantum systems driven by a time-periodic field are a platform of condensed matter physics where effective (quasi)stationary states, termed "Floquet states", can emerge with external-field-dressed quasiparticles during driving. They appear,…

Quantum Physics · Physics 2023-10-27 Naoto Tsuji

Light propagation in periodic environments is often associated with a number of interesting and potentially useful processes. If a crystalline optical potential is also linearly ramped, light can undergo periodic Bloch oscillations, a…

Periodically driven systems, characterised by their inherent non-equilibrium dynamics, are ubiquitously found in both classical and quantum regimes. In the field of photonics, these Floquet systems have begun to provide insight into how…

Floquet engineering, modulating quantum systems in a time periodic way, lies at the central part for realizing novel topological dynamical states. Thanks to the Floquet engineering, various new realms on experimentally simulating…

Quantum Physics · Physics 2022-07-13 Huan-Yu Wang , Xiao-Ming Zhao , Lin Zhuang , Wu-Ming Liu

Dynamical tunneling has been observed in atom optics experiments by two groups. We show that the experimental results are extremely well described by time-periodic Hamiltonians with momentum quantized in units of the atomic recoil. The…

Quantum Physics · Physics 2009-11-07 Robert Luter , L. E. Reichl

Recent works have demonstrated that the Floquet-Bloch bands of periodically-driven systems feature a richer topological structure than their non-driven counterparts. The additional structure in the driven case arises from the periodicity of…

Mesoscale and Nanoscale Physics · Physics 2019-01-24 Frederik Nathan , Mark S. Rudner

The invention of the maser stimulated many revolutionary technologies such as lasers and atomic clocks. Despite enormous progress, the realizations of masers are still confined to a limited variety of systems, in particular, the physics of…

Quantum Physics · Physics 2022-03-01 Min Jiang , Haowen Su , Ze Wu , Xinhua Peng , Dmitry Budker

We present theoretical and numerical results on the dynamics of ultracold atoms in an accelerated single- and double-periodic optical lattice. In the single-periodic potential Bloch oscillations can be used to generate fast directed…

Quantum Physics · Physics 2008-08-12 B. M. Breid , D. Witthaut , H. J. Korsch

The linear and nonlinear motions of a damped rigid planar pendulum, driven by vibrating its pivot sinusoidally, are reexamined. The pendulum is known to exhibit periodic, quasiperiodic, and chaotic motions. Floquet analysis identifies…

Classical Physics · Physics 2026-04-27 Rebeka Sarkar , Krishna Kumar , Sugata Pratik Khastgir

We consider a monoenergetic beam of moving charged particles interacting with two separated oscillating electric fields. Time-periodic linear potential is assumed to model the light-particle interaction using a nonrelativistic, quantum…

Quantum Physics · Physics 2018-07-02 Lóránt Zs. Szabó , Mihály G. Benedict , Péter Földi

This paper presents a numerical investigation of acoustic wave propagation in an obstacle with periodically time-modulated material parameters. We focus on the numerical construction of Floquet$-$Bloch solutions, which are quasi-periodic…

Numerical Analysis · Mathematics 2025-07-22 Jörg Nick , Ralf Hiptmair , Habib Ammari

Bloch oscillations (BOs), i.e. the oscillatory motion of a quantum particle in a periodic potential, are one of the most striking effects of coherent quantum transport in the matter. In the semiclassical picture, it is well known that BOs…

Quantum Physics · Physics 2016-01-15 Stefano Longhi

Floquet topological photonic insulators characterized by periodically-varying Hamiltonians are known to exhibit much richer topological behaviors than static systems. In a Floquet insulator, the phase evolution of the Floquet-Bloch modes…

Optics · Physics 2024-06-19 Shirin Afzal , Vien Van

Floquet engineering provides an optical means to manipulate electronic bandstructures, however, carriers excited by the pump field can lead to an effective heating, and can obscure measurement of the band changes. A recent demonstration of…

We report on the design of a Hamiltonian ratchet exploiting periodically at rest integrable trajectories in the phase space of a modulated periodic potential, leading to the linear non-diffusive transport of particles. Using Bose-Einstein…

Quantum Gases · Physics 2023-10-02 N. Dupont , L. Gabardos , F. Arrouas , N. Ombredane , J. Billy , B. Peaudecerf , D. Guéry-Odelin

As for the study of Landau level wavefunctions for the quantum Hall effect, the magnetic Bloch wavefunctions based on the magnetic translation symmetry have been extensively investigated in the past few decades. In this article, the…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Chenhang Ke , Kun Yang , Congjun Wu