Method to Generate Complex Quasinondiffracting Optical Lattices

López-Aguayo, Servando; Kartashov, Yaroslav V.; Vysloukh, Victor A.; Torner, Lluís

doi:10.1103/physrevlett.105.013902

Cited by 48 publications

(32 citation statements)

References 28 publications

(8 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The lower panel of Fig. 6 shows that the nearly vanishing current for 4 atoms corresponds to almost equal occupations in the nearly-degenerate state pairs (1,2), (3,4), (9,10), and (11,12), so the opposite contributions to the current cancel. Here the flat-band occupation is not directly relevant.…”

Section: A Diamond Latticementioning

confidence: 99%

“…Quantum-dot lattices for electrons [6][7][8] and optical lattices for atoms [9][10][11][12] have provided a new experimental setup where the lattice structure can be formed artificially and, consequently, structures which do not exist in nature can also be experimentally studied and utilized. Moreover, in optical lattices, atom dynamics can be studied without problems caused by lattice defects or phonons [9,13,14] and the atoms trapped in the lattice can be chosen to be fermions or bosons.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Many-particle dynamics of bosons and fermions in quasi-one-dimensional flat-band lattices

2013

View full text Add to dashboard Cite

The difference between boson and fermion dynamics in quasi-one-dimensional lattices is studied by calculating the persistent current in small quantum rings and by exact simulations of the timeevolution of the many-particle state in two cases: Expansion of a localized cloud, and collisions in a Newtons cradle. We consider three different lattices which in the tight binding model exhibit flat bands. The physical realization is considered to be an optical lattice with bosonic or fermionic atoms. The atoms are assumed to interact with a repulsive short range interaction. The different statistics of bosons and fermions lead to different dynamics. Spinless fermions are easily trapped in the flat-band states due to the Pauli exclusion principle, which prevents them from interacting, while bosons are able to push each other out from the flat-band states.

show abstract

Section: A Diamond Latticementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Many-particle dynamics of bosons and fermions in quasi-one-dimensional flat-band lattices

2013

View full text Add to dashboard Cite

show abstract

“…Using exact diagonalization and dynamics we demonstrate that a similar strong occupation of the flat band does not happen in the bosonic case and furthermore that the mean-field model is not capable of describing the dynamics of the boson cloud. Recent developments in manipulating cold atoms in optical lattices have opened new avenues for studying correlation and band structure effects in a controlled way [1][2][3][4][5]. One-, two-, and three-dimensional lattices with a variety of lattice structures have been proposed, including the kagome lattice [6][7][8][9], which was originally suggested by Syôzi [10] and studied intensively in the condensed-matter physics mainly due to its magnetic properties [11][12][13][14] and also thermodynamical properties [15].…”

mentioning

confidence: 99%

Flat bands, Dirac cones, and atom dynamics in an optical lattice

2010

View full text Add to dashboard Cite

We study atoms trapped with a harmonic confinement in an optical lattice characterized by a flat band and Dirac cones. We show that such an optical lattice can be constructed which can be accurately described with the tight binding or Hubbard models. In the case of fermions the release of the harmonic confinement removes fast atoms occupying the Dirac cones while those occupying the flat band remain immobile. Using exact diagonalization and dynamics we demonstrate that a similar strong occupation of the flat band does not happen in bosonic case and furthermore that the mean field model is not capable for describing the dynamics of the boson cloud.

show abstract

“…which requires k r to be a constant, corresponding to the requirement for nondiffracting beams [40]. Note that there is one class of caustic trajectories satisfying the above constraint…”

Section: Design Of Light Beams In 3d Spacementioning

confidence: 99%

Tailoring accelerating beams in phase space

et al. 2017

View full text Add to dashboard Cite

This is the final published version of the article (version of record). It first appeared online via APS Physics at https://doi.org/10.1103/PhysRevA.95.023825 . Please refer to any applicable terms of use of the publisher. University of Bristol -Explore Bristol Research General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms PHYSICAL REVIEW A 95, 023825 (2017) Tailoring accelerating beams in phase space An appropriate wave-front design will enable light fields that propagate along arbitrary trajectories, thus forming accelerating beams in free space. Previous strategies for designing such accelerating beams rely mainly on caustic methods, which start from diffraction integrals and deal only with two-dimensional fields. Here we introduce an alternate perspective to construct accelerating beams in phase space by designing the corresponding Wigner distribution function (WDF). We find that such a WDF-based method is capable of providing both the initial field distribution and the angular spectrum in need by projecting the WDF into the real space and the Fourier space, respectively. Moreover, this approach applies to the construction of both two-and three-dimensional fields, greatly generalizing previous caustic methods. It may therefore open a new route for construction of highly tailored accelerating beams and facilitate applications ranging from particle manipulation and trapping to optical routing as well as material processing.

show abstract

Method to Generate Complex Quasinondiffracting Optical Lattices

Abstract: We put forward a powerful technique that allows generating quasi-non-diffracting light beams with a variety of complex transverse shapes and topologies. We show that, e.g., spiraling patterns, patterns featuring curved or bent bright stripes, or patterns featuring arbi-

Cited by 48 publications

References 28 publications

Many-particle dynamics of bosons and fermions in quasi-one-dimensional flat-band lattices

Many-particle dynamics of bosons and fermions in quasi-one-dimensional flat-band lattices

Flat bands, Dirac cones, and atom dynamics in an optical lattice

Tailoring accelerating beams in phase space

Contact Info

Product

Resources

About