Exploring dynamic localization with a Bose-Einstein condensate

Eckardt, André; Holthaus, Martin; Lignier, Hans; Zenesini, Alessandro; Ciampini, Donatella; Morsch, O.; Arimondo, E.

doi:10.1103/physreva.79.013611

Cited by 208 publications

(244 citation statements)

References 28 publications

(55 reference statements)

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“…(v) Within the groups of even and odd bands, for a given "photon" number n resonances to higher excited bands tend to be weaker than resonances to lower bands. For example, in Figure 2a the (4, 4) resonance is much weaker than the (2, 4) resonance, and in Figure 2d the (3,5) resonance is much weaker than the (3, 1) resonance.…”

Section: Excitation Spectrummentioning

confidence: 99%

“…This concept has recently been demonstrated successfully in a series of experiments with ultracold atomic quantum gases in driven optical lattices [1]. This includes the dynamic localisation of a Bose-Einstein condensate in a shaken optical lattice [2,3], "photon"-assisted tunneling against a potential gradient [4][5][6][7][8], and the dynamic control of the bosonic Mott transition in a strongly interacting system [9]. The concept of Floquet engineering becomes particularly relevant, when the driven system acquires properties that are qualitatively different from those of the undriven system.…”

Section: Introductionmentioning

confidence: 99%

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Interband Heating Processes in a Periodically Driven Optical Lattice

Sträter

Eckardt

2016

Zeitschrift Für Naturforschung A

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Abstract:We investigate multi-"photon" interband excitation processes in an optical lattice that is driven periodically in time by a modulation of the lattice depth. Assuming the system to be prepared in the lowest band, we compute the excitation spectrum numerically. Moreover, we estimate the effective coupling parameters for resonant interband excitation processes analytically, employing degenerate perturbation theory in Floquet space. We find that below a threshold driving strength, interband excitations are suppressed exponentially with respect to the inverse driving frequency. For sufficiently low frequencies, this leads to a rather sudden onset of interband heating, once the driving strength reaches the threshold. We argue that this behavior is rather generic and should also be found in lattice systems that are driven by other forms of periodic forcing. Our results are relevant for Floquet engineering, where a lattice system is driven periodically in time in order to endow it with novel properties like the emergence of a strong artificial magnetic field or a topological band structure. In this context, interband excitation processes correspond to detrimental heating.

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Section: Excitation Spectrummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Interband Heating Processes in a Periodically Driven Optical Lattice

Sträter

Eckardt

2016

Zeitschrift Für Naturforschung A

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“…In the original realisation proposed in Ref. 2, the infinite-frequency Floquet Hamiltonian H F arXiv:1408.5209v3 [cond-mat.quant-gas] 21 Oct 2014 coincides with the Harper-Hofstadter (HH) model. Often times, theoretical works consider stroboscopic evolution only, which is defined at integer multiples of the driving period T .…”

Section: Introductionmentioning

confidence: 99%

“…Theoretical models based on Floquet's theorem are being developed to simulate systems in regimes otherwise inaccessible in conventional condensed matter materials [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] . Experimentally, cold atoms' unique controllability was employed to observe dynamical localisation and phase-coherence in strongly shaken bosonic systems [19][20][21][22][23][24] . This paved the way towards generating extremely strong artificial magnetic fields 25 in lattice models, which recently culminated in the realisation of the Harper-Hofstadter model 26,27 , the Quantum Spin Hall Effect 28,29 , and Floquet topological insulators 30,31 .…”

Section: Introductionmentioning

confidence: 99%

Stroboscopic versus nonstroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian

Bukov

Polkovnikov

2014

Phys. Rev. A

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We study the stroboscopic and non-stroboscopic dynamics in the Floquet realization of the HarperHofstadter Hamiltonian. We show that the former produces the evolution expected in the highfrequency limit only for observables which commute with the operator to which the driving protocol couples. On the contrary, non-stroboscopic dynamics is capable of capturing the evolution governed by the Floquet Hamiltonian of any observable associated with the effective high-frequency model. We provide exact numerical simulations for the dynamics of the number operator following a quantum cyclotron orbit on a 2 × 2 plaquette, as well as the chiral current operator flowing along the legs of a 2 × 20 ladder. The exact evolution is compared with its stroboscopic and non-stroboscopic counterparts, including finite-frequency corrections.

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“…This is the so-called dynamical localization phenomenon, and it has been observed in experiments. 27,28,33 It has also been proposed as a method to tune interacting bosons through the superfluid-insulator transition, 21,23 to observe the analog of photon assisted tunneling and Shapiro steps, 16,22 and to manipulate the localization properties of Anderson insulators. 17,24 Recent experimental work has confirmed some of these proposals.…”

Section: Introductionmentioning

confidence: 99%

Particle-hole symmetric localization in optical lattices using time modulated random on-site potentials

2010

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The random hopping models exhibit many fascinating features, such as diverging localization length and density of states as energy approaches the band center due to its particle-hole symmetry. Nevertheless, such models are yet to be realized experimentally because the particle-hole symmetry is easily destroyed by diagonal disorder. Here we propose that a pure random hopping model can be effectively realized in ultracold atoms by modulating a disordered onsite potential in particular frequency ranges. This idea is motivated by the recent development of the phenomena called "dynamical localization" or "coherent destruction of tunneling." Investigating the application of this idea in one dimension, we find that if the oscillation frequency of the disorder potential is gradually increased from zero to infinity, one can tune a noninteracting system from an Anderson insulator to a random hopping model with diverging localization length at the band center, and eventually to a uniform-hopping tight-binding model.

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Exploring dynamic localization with a Bose-Einstein condensate

Cited by 208 publications

References 28 publications

Interband Heating Processes in a Periodically Driven Optical Lattice

Interband Heating Processes in a Periodically Driven Optical Lattice

Stroboscopic versus nonstroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian

Particle-hole symmetric localization in optical lattices using time modulated random on-site potentials

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