A delta-kicked model for the quantum ratchet effect

Chen, Lei; Xiong, Chao; Yuan, Hao; Ding, Liang’en

doi:10.1016/j.physa.2013.12.011

Cited by 6 publications

(4 citation statements)

References 35 publications

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“…Another active sub-area of ratchet physics are periodically kicked systems, which have the advantage of being more accessible from a theorists point of view due to the simpler delta-shaped time dependence. In these, similar effects as for the aforementioned smoothly driven setups could be observed, such as directed transport, resonance behaviour and even the acceleration of ratchet currents [19][20][21][22][23]. In any case, all of the aforementioned works related to ratchet physics, be it classical-, quantum-, smoothly driven-or kicked, are restricted to globally acting driving forces.…”

Section: Introductionmentioning

confidence: 57%

“…Another active sub-area of ratchet physics are periodically kicked systems, which have the advantage of being more accessible from a theorists point of view due to the simpler delta-shaped time dependence. In these, similar effects as for the aforementioned smoothly driven setups could be observed, such as directed transport, resonance behaviour and even the * Thomas.Wulf@physnet.uni-hamburg.de † Peter.Schmelcher@physnet.uni-hamburg.de acceleration of ratchet currents [19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

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Symmetries and transport in site-dependent driven quantum lattices

et al. 2014

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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 detailed symmetry analysis represents the cornerstone for an intricate manipulation of the Floquet spectrum. Specifically, we show how exact crossings can be converted into avoided ones, while the width of these resulting avoided crossings can be engineered by adjusting parameters of the local driving. Asymptotic currents are shown to be controllable over a certain parameter range.

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Section: Introductionmentioning

confidence: 57%

“…Another active sub-area of ratchet physics are periodically kicked systems, which have the advantage of being more accessible from a theorists point of view due to the simpler delta-shaped time dependence. In these, similar effects as for the aforementioned smoothly driven setups could be observed, such as directed transport, resonance behaviour and even the * Thomas.Wulf@physnet.uni-hamburg.de † Peter.Schmelcher@physnet.uni-hamburg.de acceleration of ratchet currents [19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Symmetries and transport in site-dependent driven quantum lattices

et al. 2014

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“…In those studies it was surprisingly found that a current can emerge when quantum resonances occur at specific values of the effective Planck constant. There has been further work on the quantum ratchet effect based on the QDK model [18,19].…”

Section: Introductionmentioning

confidence: 99%

Multi-Frequency Delta-Kicked Models for the Quantum Ratchet Effect

Chen

Xiong

Jin

et al. 2014

AMR

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We investigate two multi-frequency delta-kicked models for the quantum ratchet effect, in which a flashing multi-frequency potential periodically acts on a particle. Ratchet currents emerge when quantum resonances are excited. Currents in multi-frequency models may be stronger than those in the previous two-frequency model. Our work expands upon the quantum delta-kicked model and may contribute to experimental investigation of the quantum transport of cold atoms.

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“…In those studies it was surprisingly found that current can emerge when quantum resonances occur at specific values of the effective Planck constant. There has been further work on the quantum ratchet effect based on the QDK model [11,12,13].…”

Section: Introductionmentioning

confidence: 99%

Ratchet Effect in a Triple Delta-Kicked Model

Chen

Xiong

Jin

et al. 2014

AMM

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We investigate the quantum ratchet effect in a triple delta-kicked model. Three symmetric flashing potentials alternately act on a particle with a symmetric and homogeneous initial state of zero momentum. Ratchet currents emerge when quantum resonances are excited. Ratchet currents in the triple model may be stronger than those in the previous model. Our work expands upon the quantum delta-kicked model and may contribute to experimental investigation of the quantum transport of cold atoms.

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A delta-kicked model for the quantum ratchet effect

Cited by 6 publications

References 35 publications

Symmetries and transport in site-dependent driven quantum lattices

Symmetries and transport in site-dependent driven quantum lattices

Multi-Frequency Delta-Kicked Models for the Quantum Ratchet Effect

Ratchet Effect in a Triple Delta-Kicked Model

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