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We show that quantum number preserving Ans\"{a}tze for variational optimization in quantum chemistry find an elegant mapping to ultracold fermions in optical superlattices. Using native Hubbard dynamics, trial ground states of molecular…

Quantum Gases · Physics 2025-02-26 Fotios Gkritsis , Daniel Dux , Jin Zhang , Naman Jain , Christian Gogolin , Philipp M. Preiss

For many years, quasicrystals were observed only as solid-state metallic alloys, yet current research is now actively exploring their formation in a variety of soft materials, including systems of macromolecules, nanoparticles and colloids.…

Soft Condensed Matter · Physics 2018-05-02 Samuel Savitz , Mehrtash Babadi , Ron Lifshitz

We consider the dynamics of Frenkel excitons on quasiperiodic lattices, focusing our attention on the Fibonacci case as a typical example. We evaluate the absorption spectrum by solving numerically the equation of motion of the…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Rodriguez , F. Dominguez-Adame

We describe theoretically a setup in which a tapered optical nanofibre is introduced into an optical lattice potential for cold atoms. Firstly, we consider the disturbance to the geometry of the lattice potential due to scattering of the…

Quantum Gases · Physics 2013-05-30 T. Hennessy , Th. Busch

A theoretical approach was developed for an exact numerical description of a pair of ultracold atoms interacting via a central potential that are trapped in a three-dimensional optical lattice. The coupling of center-of-mass and…

Quantum Physics · Physics 2013-05-29 Sergey Grishkevich , Alejandro Saenz

We study the percolation of a quantum particle on quasicrystal lattices and compare it with the square lattice. For our study, we have considered quasicrystal lattices modelled on the pentagonally symmetric Penrose tiling and the…

Quantum Physics · Physics 2020-01-31 Prateek Chawla , C. V. Ambarish , C. M. Chandrashekar

We propose to use sub-wavelength confinement of light associated with the near field of plasmonic systems to create nanoscale optical lattices for ultracold atoms. Our approach combines the unique coherence properties of isolated atoms with…

Atomic Physics · Physics 2014-07-29 M. Gullans , T. Tiecke , D. E. Chang , J. Feist , J. D. Thompson , J. I. Cirac , P. Zoller , M. D. Lukin

Exploring nonminimal-rank quasicrystals, which have symmetries that can be found in both periodic and aperiodic crystals, often provides new insight into the physical nature of aperiodic long-range order in models that are easier to treat.…

Soft Condensed Matter · Physics 2025-07-30 Sam Coates , Akihisa Koga , Toranosuke Matsubara , Ryuji Tamura , Hem Raj Sharma , Ronan McGrath , Ron Lifshitz

Exotic tiling patterns of quasicrystals have gotten a lot of attention for unique quantum phenomena such as critical state and multifractality. In this regard, finding new quasi-periodic tiling patterns and the relevant quantum states is…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Junmo Jeon , SungBin Lee

We develop a method to design tunable quasiperiodic structures of particles suspended in a fluid by controlling standing acoustic waves. One application of our results is to ultrasound directed self-assembly, which allows fabricating…

Analysis of PDEs · Mathematics 2024-09-20 Elena Cherkaev , Fernando Guevara Vasquez , China Mauck

Ultracold fermionic atoms in optical lattices offer pristine realizations of Hubbard models, which are fundamental to modern condensed matter physics. Despite significant advancements, the accessible temperatures in these optical lattice…

We study quantum dynamics of a wave packet on a class of one dimensional decorated aperiodic lattices, described within a tight binding formalism. We look for the possibility of finding extended single particle states even in the absence of…

Mesoscale and Nanoscale Physics · Physics 2024-05-30 Sougata Biswas , Arunava Chakrabarti

We study cavity optomechanics of a mixture of ultracold atoms with tunable nonlinear collisions. We show that atomic collisions provide linear couplings between fictitious condensate oscillators, leading to possibilities of achieving a…

Quantum Physics · Physics 2012-12-07 H. Jing , X. Zhao , L. F. Buchmann

We describe tunable optical sawtooth and zigzag lattices for ultracold atoms. Making use of the superlattice generated by commensurate wavelengths of light beams, tunable geometries including zigzag and sawtooth configurations can be…

Quantum Gases · Physics 2016-01-29 Ting Zhang , Gyu-Boong Jo

We report on a theoreticl study of the electronic structure of quasiperiodic, quasi-one-dimensional systems where fully three dimensional interaction potentials are taken into account. In our approach, the actual physical potential acting…

Condensed Matter · Physics 2009-10-28 E. Macia , F. Dominguez-Adame

We propose and implement a lattice scheme for coherently manipulating atomic spins. Using the vector light shift and a superlattice structure, we demonstrate experimentally the capability on parallel spin addressing in double-wells and…

Quantum Gases · Physics 2017-08-25 Bing Yang , Han-Ning Dai , Hui Sun , Andreas Reingruber , Zhen-Sheng Yuan , Jian-Wei Pan

We investigate the nonequilibrium dynamics of classical particles in a driven quasiperiodic lattice based on the Fibonacci sequence. An intricate transient dynamics of extraordinarily long ballistic flights at distinct velocities is found.…

Chaotic Dynamics · Physics 2016-04-27 Thomas Wulf , Peter Schmelcher

Due to the absence of periodic length scale, electronic states and their topological properties in quasicrystals have been barely understood. Here, we focus on one dimensional quasicrystal and reveal that their electronic critical states…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 Junmo Jeon , SungBin Lee

One-dimensional superlattices with periodic spatial modulations of onsite potentials or tunneling coefficients can exhibit a variety of properties associated with topology or symmetry. Recent developments of ring-shaped optical lattices…

Quantum Gases · Physics 2018-02-21 Yan He , Kevin Wright , Said Kouachi , Chih-Chun Chien

Mechanisms that stabilize quasicrystals are much discussed but not finally resolved. We confirm the random tiling hypothesis and its predictions in a fully atomistic decagonal quasicrystal model by calculating the free energy and the phason…

Materials Science · Physics 2013-05-10 Alexander Kiselev , Michael Engel , Hans-Rainer Trebin