Matter-Wave Diffraction from a Quasicrystalline Optical Lattice

Viebahn, Konrad; Sbroscia, Matteo; Carter, Edward; Yu, Jr-Chiun; Schneider, Ulrich

doi:10.1103/physrevlett.122.110404

Cited by 156 publications

(127 citation statements)

References 52 publications

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“…To conclude, extending the present study, future work may address how similar complex structures can control quantum-mechanical exchanges, considering other two or multi-lengthscale soft-core potentials, possibly applicable in an experimental contest as, for instance, ultra-cold dipolar atoms [43][44][45][46][47][48][49] or supporting the understanding of other engaging systems such as quantum quasicrystals [50,51].…”

Section: Discussionmentioning

confidence: 70%

Cluster stability driven by quantum fluctuations

Cinti

2019

Phys. Rev. B

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By means of an accurate path-integral Monte Carlo we investigate a two-dimensional ensemble of particles interacting via a Lifshitz-Petrich-Gaussian potential. In particular, analysing structures described by a commensurate ratio between the two wave numbers that mark the pattern, the Lifshitz-Petrich-Gaussian boson model may display a stable and well-defined stripe phase lacking any global phase coherence but featuring a superfluid signal along the stripe direction only. Upon increasing quantum fluctuations and quantum-mechanical exchange of bosons, the doubledegeneration of the negative minima in the Fourier transform of the potential is removed at the expense of a density modulation peculiar to a cluster triangular crystal. We also show that this last structure possess all features adhering to the definition of a supersolid phase.

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Section: Discussionmentioning

confidence: 70%

Cluster stability driven by quantum fluctuations

Cinti

2019

Phys. Rev. B

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“…Our results emphasize that this complex behavior can result solely from pair interactions, and it would be interesting to search for it in other classes of two-lengthscale soft-core potentials [13,48] as well as in experiments. The recent observation of self-assembled supersolid behavior in 1D with dipolar magnetic atoms [22,23,49], similar to that predicted in cluster-forming interactions, raises the question of whether self-assembled QC behavior may be engineered in such systems-possibly aided by structured optical potentials such as those used in cold-atom experiments where superfluidity is furnished by a Bose-Einstein condensate trapped in a laser-generated lattice [50].…”

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confidence: 86%

Quantum cluster quasicrystals

2020

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Quasicrystals remain among the most intriguing materials in physics and chemistry. Their structure results in many unusual properties including anomalously low friction as well as poor electrical and thermal conductivity but it also supports superconductivity, which shows that quantum effects in quasicrystals can be quite unique. Here we theoretically study superfluidity in a model quantum cluster quasicrystal. Using path-integral Monte Carlo simulations, we explore a 2D ensemble of bosons with the Lifshitz-Petrich-Gaussian pair potential, finding that moderate quantum fluctuations do not destroy the dodecagonal quasicrystalline order. This quasicrystal is characterized by a small yet finite superfluidity, demonstrating that particle clustering combined with the local cogwheel structure can underpin superfluidity even in the almost classical regime. This type of distributed superfluidity may also be expected in certain open crystalline lattices. Large quantum fluctuations are shown to induce transitions to cluster solids, supersolids and superfluids, which we characterize fully quantum-mechanically.

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“…If the roles of position and momentum are reversed, this can lead to momentum-space topological physics, ranging from momentum-space lattices 70,71 , to momentum-space Landau levels 72,73 , and momentumspace integer 74 and fractional 75 quantum Hall effects. In the context of synthetic dimensions, the positionmomentum duality is reflected in a re-interpretation of a discrete set of free-particle momentum states as the set of lattice sites 38,39,43 .…”

Section: B Momentum Statesmentioning

confidence: 99%

Topological quantum matter in synthetic dimensions

Ozawa¹,

2019

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In the field of quantum simulation of condensed matter phenomena by artificially engineering the Hamiltonian of an atomic, molecular or optical system, the concept of 'synthetic dimensions' has recently emerged as a powerful way to emulate phenomena such as topological phases of matter, which are now of great interest across many areas of physics. The main idea of a synthetic dimension is to couple together suitable degrees of freedom, such as a set of internal atomic states, in order to mimic the motion of a particle along an extra spatial dimension. This approach provides a way to engineer lattice Hamiltonians and enables the realisation of higher-dimensional topological models in platforms with lower dimensionality. We give an overview of the recent progress in studying topological matter in synthetic dimensions. After reviewing proposals and realizations in various setups, we discuss future prospects in many-body physics, applications, and topological effects in three or more spatial dimensions.

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Matter-Wave Diffraction from a Quasicrystalline Optical Lattice

Cited by 156 publications

References 52 publications

Cluster stability driven by quantum fluctuations

Cluster stability driven by quantum fluctuations

Quantum cluster quasicrystals

Topological quantum matter in synthetic dimensions

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