Bloch oscillations in lattice potentials with controlled aperiodicity

Walter, Stefan; Schneble, Dominik; Durst, Adam C.

doi:10.1103/physreva.81.033623

Cited by 12 publications

(9 citation statements)

References 34 publications

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“…Some experiments have also explored the effect of inter-particle interactions on Bloch oscillations [23,25,[29][30][31]36]. Theoretical treatments of Bloch oscillations have addressed a variety of single-particle situations [12,13,[41][42][43][44][45][46][47][48][49][50][51][52], interacting few-particle systems [53][54][55][56][57], and interacting many-body systems [43,45,[58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77]. Interactions have been treated both in mean-field (e.g., Gross-Pitaevskii) regimes [43, 45, 60-64, 68, 72, 77] and beyond the mean-field regime…”

Section: Introduction-mentioning

confidence: 99%

Many-Body Quantum Dynamics of Initially Trapped Systems due to a Stark Potential: Thermalization versus Bloch Oscillations

2020

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We analyze the dynamics of an initially trapped cloud of interacting quantum particles on a lattice under a linear (Stark) potential. We reveal a dichotomy: initially trapped interacting systems possess features typical of both many-body-localized and self-thermalizing systems. We consider both fermions (t-V model) and bosons (Bose-Hubbard model). For the zero and infinite interaction limits, both systems are integrable: we provide analytic solutions in terms of the moments of the initial cloud shape, and clarify how the recurrent dynamics (many-body Bloch oscillations) depends on the initial state. Away from the integrable systems, we identify and explain the time scale at which Bloch oscillations decohere. arXiv:1903.09261v1 [cond-mat.quant-gas]

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Section: Introduction-mentioning

confidence: 99%

Many-Body Quantum Dynamics of Initially Trapped Systems due to a Stark Potential: Thermalization versus Bloch Oscillations

2020

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“…For the case that both interactions and disorder are present, it has been predicted that the combined effects can modify the Bloch oscillation dynamics, either reducing or enhancing the damping due to disorder, depending on their relative magnitude [42,43].…”

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confidence: 99%

Superfluid Bloch dynamics in an incommensurate optical lattice

et al. 2014

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We investigate the interplay of disorder and interactions in the accelerated transport of a Bose-Einstein condensate through an incommensurate optical lattice. We show that interactions can effectively cancel the damping of Bloch oscillations (BOs) due to the disordered potential and we provide a simple model to qualitatively capture this screening effect. We find that the characteristic interaction energy, above which interactions and disorder cooperate to enhance, rather than reduce, the damping of BOs, coincides with the average disorder depth. This is consistent with results of a mean-field simulation. Keywords: Bose-Einstein condensates, disorder, optical latticesThe combined effects of disorder and interactions in condensed-matter systems can influence their transport properties in profound ways. Beyond merely reducing conductivity, disorder can lead to Anderson localization [1] in the absence of interactions, and repulsive interactions can, in turn, give rise to localized Mott phases [2] without the influence of disorder. While disorder and interaction act cooperatively in the limit of strong interactions by promoting disordered

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“…For instance, temporal modulations of the lattice potential [19][20][21][22][23] or the interaction strength [24] have been demonstrated to induce the so-called super Bloch oscillations, which can be used to transport atoms in the lattice with a controllable manner. The BOs in nonuniform lattices, such as aperiodic lattices [25,26], disorder lattices [27] as well as zigzag and helix lattices [28] have also been extensively investigated. In this work, we consider an alternative generalization scheme of BO in optical lattices, in which higher order gradients are taken into account besides the linear one.…”

Section: Introductionmentioning

confidence: 99%

Generalized Bloch oscillations of ultracold lattice atoms subject to higher-order gradients

Zhu

Chen

et al. 2019

Phys. Rev. A

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The standard Bloch oscillation normally refers to the oscillatory tunneling dynamics of quantum particles in a periodic lattice plus a linear gradient. In this work we theoretically investigate the generalized form of the Bloch oscillation in the presence of additional higher order gradients, and demonstrate that the higher order gradients can significantly modify the tunneling dynamics, particularly in the spectrum of the density oscillation. The spectrum of the standard Bloch oscillation is composed of a single prime frequency and its higher harmonics, while the higher-order gradients in the external potential give rise to fine structures in the spectrum around each of these Bloch frequencies, which are composed of serieses of frequency peaks. Our investigation leads to a twofold consequence to the applications of Bloch oscillations for measuring external forces: For one thing, under a limited resolution of the measured spectrum, the fine structures would manifest as a blur to the spectrum, and leads to intrinsic errors to the measurement. For another, given that the fine structures could be experimentally resolved, they can supply more information of the external force than the strength of the linear gradient, and be used to measure more complicated forces.

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Bloch oscillations in lattice potentials with controlled aperiodicity

Cited by 12 publications

References 34 publications

Many-Body Quantum Dynamics of Initially Trapped Systems due to a Stark Potential: Thermalization versus Bloch Oscillations

Many-Body Quantum Dynamics of Initially Trapped Systems due to a Stark Potential: Thermalization versus Bloch Oscillations

Superfluid Bloch dynamics in an incommensurate optical lattice

Generalized Bloch oscillations of ultracold lattice atoms subject to higher-order gradients

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