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We demonstrate the operation of a quantum ratchet in the absence of dissipative processes within the observation time (Hamiltonian regime). An atomic rubidium Bose-Einstein condensate is exposed to a sawtooth-like optical lattice potential,…

We present a comprehensive account of directed transport in one-dimensional Hamiltonian systems with spatial and temporal periodicity. They can be considered as Hamiltonian ratchets in the sense that ensembles of particles can show directed…

Chaotic Dynamics · Physics 2007-05-23 Holger Schanz , Thomas Dittrich , Roland Ketzmerick

The ratchet phenomenon is a means to get directed transport without net forces. Originally conceived to rectify stochastic motion and describe operational principles of biological motors, the ratchet effect can be used to achieve…

Quantum Gases · Physics 2016-03-11 Christopher Grossert , Martin Leder , Sergey Denisov , Peter Hänggi , Martin Weitz

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…

We report on an experimental realization of unidirectional transporting island structures in an otherwise chaotic phase space of the delta-kicked rotor system. Using a Bose-Einstein Condensate as a source of ultracold atoms, we employ…

Atomic Physics · Physics 2013-12-16 D. H. White , S. K. Ruddell , M. D. Hoogerland

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

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

We propose to use a quantum ratchet to transport quantum information in a chain of atoms trapped in an optical superlattice. The quantum ratchet is created by a continuous modulation of the optical superlattice which is periodic in time and…

Quantum Physics · Physics 2007-11-08 Oriol Romero-Isart , Juan Jose Garcia-Ripoll

Motion of an atomic ensemble trapped into a deep optical lattice is considered. We propose a novel approach to construct an atomic ratchet by superimposing two additional lattices whose amplitudes are small and subjected to broadband…

Chaotic Dynamics · Physics 2013-11-13 D. V. Makarov , L. E. Kon'kov

We demonstrate transport rectification in a hermitian Hamiltonian quantum ratchet by a dissipative, dynamic impurity. While the bulk of the ratchet supports transport in both directions, the properly designed loss function of the local…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Zlata Fedorova , Christoph Dauer , Anna Sidorenko , Sebastian Eggert , Johann Kroha , Stefan Linden

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

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

We explain the mechanism leading to directed chaotic transport in Hamiltonian systems with spatial and temporal periodicity. We show that a mixed phase space comprising both regular and chaotic motion is required and derive a classical sum…

Chaotic Dynamics · Physics 2009-10-31 Holger Schanz , Marc-Felix Otto , Roland Ketzmerick , Thomas Dittrich

Quantum-resonance ratchets associated with the periodically kicked particle are experimentally realized for the first time. This is achieved by using a Bose-Einstein condensate exposed to a pulsed standing light wave and prepared in an…

Atomic Physics · Physics 2008-01-20 I. Dana , V. Ramareddy , I. Talukdar , G. S. Summy

We trace a simple mechanical model of a ratchet, and embed its setup in a conventional quasi-two-dimensional electron system in a semiconductor heterostructure. Expressed are two distinct microscopic mechanisms for such systems to serve as…

Mesoscale and Nanoscale Physics · Physics 2009-04-16 Eduard Takhtamirov

We analyze the performance of quantum ratchets by considering the dynamics of an initially localized wave packet loaded into a flashing periodic potential. The directed center-of-mass motion can be initiated by the uniform modulation of the…

Quantum Gases · Physics 2011-10-12 Fei Zhan , S. Denisov , A. V. Ponomarev , P. Hänggi

The design of time-independent effective Hamiltonians that describe periodically modulated systems, provides a promising approach to realize new forms of matter. This, so-called, Floquet engineering approach is currently limited to the…

Mesoscale and Nanoscale Physics · Physics 2018-09-18 Huanan Li , Boris Shapiro , Tsampikos Kottos

We report on experiments studying transport properties of an atomic Bose-Einstein condensate in an optical lattice of spatial period $\lambda/2n$, where $n$ is an integer, realized with the dispersion of multiphoton Raman transitions. We…

Other Condensed Matter · Physics 2009-03-16 Tobias Salger , Gunnar Ritt , Carsten Geckeler , Sebastian Kling , Martin Weitz

Quantum systems can show qualitatively new forms of behavior when they are driven by fast time-periodic modulations. In the limit of large driving frequency, the long-time dynamics of such systems can often be described by a…

Quantum Gases · Physics 2015-04-01 N. Goldman , J. Dalibard , M. Aidelsburger , N. R. Cooper

We report Floquet band engineering of long-range transport and direct imaging of Floquet-Bloch bands in an amplitude-modulated optical lattice. In one variety of Floquet-Bloch band we observe tunable rapid long-range high-fidelity transport…

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