Condensed Matter Physics in the Time Dimension

Sacha, Krzysztof

doi:10.1007/978-3-030-52523-1_5

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Moiré Superlattice1

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2023

2024

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Cited by 2 publications

(1 citation statement)

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“…We note further that in the limit R → ∞, the peaks in (k x , k p )-space become δ-functions and the driving potential reduces to a discrete sequence of stroboscopic lattices with specific amplitudes, wavelengths and phases [38,40,59,60]. Considering that the contact interaction of cold atoms turns into a longdistance Coulomb-like interaction in the rotating frame [38,40,[60][61][62][63][64][65][66], many atoms in the phase space Moiré superlattice would mimic the behaviour of electrons in twisted bilayer graphene [55][56][57][58].…”

Section: Moiré Superlatticementioning

confidence: 99%

Engineering Arbitrary Hamiltonians in Phase Space

Guo¹,

Peano²

2023

Preprint

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We introduce a general method to engineer arbitrary Hamiltonians in the Floquet phase space of a periodically driven oscillator, based on the non-commutative Fourier transformation (NcFT) technique. We establish the relationship between an arbitrary target Floquet Hamiltonian in phase space and the periodic driving potential in real space. We obtain analytical expressions for the driving potentials in real space that can generate novel Hamiltonians in phase space, e.g., rotational lattices and sharp-boundary well. Our protocol can be realised in a range of experimental platforms for nonclassical states generation and bosonic quantum computation.

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