Dimensional coupling-induced current reversal in two-dimensional driven lattices

Mukhopadhyay, Aritra K.; Xie, Tian; Liebchen, Benno; Schmelcher, Peter

doi:10.1103/physreve.97.050202

Cited by 9 publications

(6 citation statements)

References 48 publications

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“…where p j can represent the normalized relative distribution (normalized by the total number of atoms) of atoms on sites, but it cannot characterize the diffusion of system [42]. In statistics and probability theory, the standard deviation is a good measure for the variation or dispersion of an average.…”

Section: Resultsmentioning

confidence: 99%

Dissipative dynamics of cold atoms in an optical lattice

Zhao¹,

Cui²

2019

Laser Phys.

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We numerically investigate the quantum effects of cold atoms in a one-dimensional driven optical lattice in the presence of distance-selective dissipation and external driving. The combination of distance-selective dissipation, external driving, on-site interaction and tunneling dominates the system dynamics. The mean-field theory is used to approximate the system. In order to analyze the system dynamics, we calculate the relative density of atoms on each site and the standard deviation of relative density. Furthermore, the influence laws of environmental factors on the system dynamics are found out by the numerical simulation. Especially, we study the dissipative dynamics of the system under a time varying external driving. The results of the study are effectively applied to manipulate the distribution of cold atoms in an optical lattice and drive the system to the desired quantum state.

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Section: Resultsmentioning

confidence: 99%

Dissipative dynamics of cold atoms in an optical lattice

Zhao¹,

Cui²

2019

Laser Phys.

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“…Indeed, most of the existing schemes to generate current reversals focus on reverting the direction of asymptotic particle transport due to a change of system parameter [47][48][49][50]. Only recently, research has focused on setups where the current reversal occurs dynamically in time either due to a time-dependent switching of system parameters or due to the presence of interactions and dimensional coupling [33,38,51,52].…”

Section: Introductionmentioning

confidence: 99%

Multiple Current Reversals Using Superimposed Driven Lattices

Mukhopadhyay

Schmelcher

2020

Applied Sciences

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We demonstrate that directed transport of particles in a two dimensional driven lattice can be dynamically reversed multiple times by superimposing additional spatially localized lattices on top of a background lattice. The timescales of such current reversals can be flexibly controlled by adjusting the spatial locations of the superimposed lattices. The key principle behind the current reversals is the conversion of the particle dynamics from chaotic to ballistic, which allow the particles to explore regions of the underlying phase space which are inaccessible otherwise. Our results can be experimentally realized using cold atoms in driven optical lattices and allow for the control of transport of atomic ensembles in such setups.

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“…In order to study the related transport phenomena, researchers proposed some typical ratchet models corresponding to the type of nonequilibrium driving, they are rocking ratchets [5,6], flashing ratchets [7][8][9], coupled ratchets [10,11], entropic ratchets [12][13][14]. In addition, directed transport can also be realized by using static and dynamic force fields, such as the coupling of conservative and nonconservative forces [15], the transversal ac force [16,17], the superimposed driven lattices [18,19], and the optical ratchet with a rocking driving [20].…”

Section: Introductionmentioning

confidence: 99%

Spontaneous rectification and absolute negative mobility of inertial Brownian particles induced by Gaussian potentials in steady laminar flows

2019

Soft Matter

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We study the transport of inertial Brownian particles in steady laminar flows in the presence of two-dimensional Gaussian potentials. Through extensive numerical simulations, it is found that the transport is sensitively dependent on the external constant force and the Gaussian potential.Within tailored parameter regimes, the system exhibits a rich variety of transport behaviors. There exists the phenomenon of spontaneous rectification (SR), where the directed transport of particles can occur in the absence of any external driving forces. It is found that SR of the particles can be manipulated by the spatial position of the Gaussian potential. Moreover, when the potential lies at the center of the cellular flow, the system exhibits absolute negative mobility (ANM), i.e., the particles can move in a direction opposite to the constant force. More importantly, the phenomenon of ANM induced by Gaussian potential is robust in a wide range of the system parameters and can be further strengthened with the optimized parameters, which may pave the way to the implementation of related experiments. PACS numbers: 05.60.-k, 05.45.-a

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Dimensional coupling-induced current reversal in two-dimensional driven lattices

Cited by 9 publications

References 48 publications

Dissipative dynamics of cold atoms in an optical lattice

Dissipative dynamics of cold atoms in an optical lattice

Multiple Current Reversals Using Superimposed Driven Lattices

Spontaneous rectification and absolute negative mobility of inertial Brownian particles induced by Gaussian potentials in steady laminar flows

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