Momentum-resolved Floquet-engineered pair and single-particle filter in the Fermi-Hubbard model

Hübner, Friedrich; Dauer, Christoph; Eggert, Sebastian; Kollath, Corinna; Sheikhan, Ameneh

doi:10.1103/physreva.108.023307

Cited by 2 publications

(4 citation statements)

References 23 publications

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“…5. The general result shows similar features as the result obtained for non-resonant driving, especially the almost periodic structure that appears for large λ (see discussion in [25,26]). However, the most important difference is that for λ → 0 the impurity does not become fully transparent, but instead shows finite transmission and reflection.…”

Section: G3 Computation Of the Pair Transmissionsupporting

confidence: 80%

“…by writing all quantities as matrices (note that W ′ 0 is also a symmetric hopping and thus, in this context, proportional to A even ): Note that this result does not depend on δu which is a consequence of the fact that for α → 0 scattering in P is independent from the details in subspace Q. Interestingly, Eq. (G.27) equals the result one would obtain by first studying the limit α → 0 for |u| not close to an integer using the Floquet-Schrieffer-Wolff transformation (see [25,26]) and then sending |u| → |u 0 | to an integer. We give a plot of the pair transmission for |u 0 | = 1 in Fig.…”

Section: G3 Computation Of the Pair Transmissionmentioning

confidence: 58%

“…This system can be studied using the Schrieffer-Wolff transformation and is an example for our original motivation to study these systems, see Section 2. An analysis of the non-resonant case for the same driven impurity in exactly the same regime has been carried out recently [25,26]. The Fermi-Hubbard chain is given by an infinite chain of lattice sites labelled by integers n with Hamiltonian:…”

Section: G Application: Scattering Of Bound Pairs At a Resonantly Flo...mentioning

confidence: 99%

“…Driven impurities can be used to Floquet-engineer effective impurities into systems. Such effective impurites can change the transport behaviour [19][20][21][22], exhibit interesting physics (such as Fano-resonances [23]) on their own, or they might be useful as devices in experiments, for instance as filters for particles with various properties [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems

Hübner

2024

SciPost Phys.

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We study solutions to the Lippmann-Schwinger equation in systems where a slow subsystem is coupled to a fast subsystem via an impurity. Such situations appear when a high-frequency Floquet-driven impurity is introduced into a low-energy system, but the driving frequency is at resonance with a high-energy band. In contrast to the case of resonant bulk driving, where the particles in the low-energy system are excited into the high-energy band, we surprisingly find that these excitations are suppressed for resonantly driven impurities. Still, the transmission through the impurity is strongly affected by the presence of the high-energy band in a universal way that does not depend on the details of the high-energy band. We apply our general result to two examples and show the suppression of excitations from the low-energy band into the high-energy band: a) bound pairs in a Fermi-Hubbard chain scattering at a driven impurity, which is at resonance with the Hubbard interaction and b) particles in a deep optical lattice described by the tight-binding approximation, which scatter at a driven impurity, whose driving frequency equals the band gap between the two lowest energy bands.

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Section: G3 Computation Of the Pair Transmissionsupporting

confidence: 80%

Section: G3 Computation Of the Pair Transmissionmentioning

confidence: 58%

Section: G Application: Scattering Of Bound Pairs At a Resonantly Flo...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems

Hübner

2024

SciPost Phys.

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Individually tunable tunnelling coefficients in optical lattices using local periodic driving

Nixon,

Ünal,

Schneider

2024

Quantum Sci. Technol.

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Ultracold atoms in optical lattices have emerged as powerful quantum simulators of translationally invariant systems with many applications in e.g. strongly-correlated and topological systems. However, the ability to locally tune all Hamiltonian parameters remains an outstanding goal that would enable the simulation of a wider range of quantum phenomena. Motivated by recent advances in quantum gas microscopes and optical tweezers, we here show theoretically how local control over individual tunnelling links in an optical lattice can be achieved by incorporating local time-periodic potentials. We propose to periodically modulate the on-site energy of individual lattice sites and employ Floquet theory to demonstrate how this provides full individual control over the tunnelling amplitudes in one dimension. We provide various example configurations realising interesting topological models such as extended Su-Schrieffer-Heeger models that would be challenging to realise by other means. Extending to two dimensions, we demonstrate that local periodic driving in a Lieb lattice engineers a 2D network with fully controllable tunnelling magnitudes. In a three-site plaquette, we show full simultaneous control over the relative tunnelling amplitudes and the gauge-invariant flux piercing the plaquette, providing a clear stepping stone to building a fully programmable 2D tight-binding model. We also explicitly demonstrate how utilise our technique to generate a magnetic field gradient in 2D. This local modulation scheme is applicable to many different lattice geometries.

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Momentum-resolved Floquet-engineered pair and single-particle filter in the Fermi-Hubbard model

Cited by 2 publications

References 23 publications

Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems

Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems

Individually tunable tunnelling coefficients in optical lattices using local periodic driving

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