Quasi-angular momentum of Bose and Fermi gases in rotating optical lattices

Peden, Brandon; Bhat, Rajiv; Krämer, M.; Holland, Murray

doi:10.1088/0953-4075/40/18/012

Cited by 14 publications

(12 citation statements)

References 55 publications

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“…In addition to the conventional Mulliken labels, orbitals symmetries have been indicated by the halves of the azimuthal node counts (HANCs) along the three concentric annulenic loops (bold characters/empty‐signs ∅ indicate annulenic loops with high/negligible electron density). Those HANCs would be proper quantum numbers, the so‐called quasi‐angular momenta m , in the limiting case of C n ‐symmetrical decoupled [ n ]annulenes. However, they can be useful in anticipating on inspection patterns of current density.…”

Section: Resultsmentioning

confidence: 99%

Anionic derivatives of altan‐corannulene

Monaco

Zanasi

2013

J of Physical Organic Chem

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We report computations of excitation energies, magnetizabilities, and current strengths for the dianion, tetraanion, and hexaanion of the previously introduced altan-corannulene, a molecule designed to hold a strong paratropic current. None of these ions has a fully diatropic or paratropic pattern: dianion and tetraanion both have a paratropic/diatropic/diatropic pattern, whereas the hexaanion has a diatropic/paratropic/diatropic pattern, which is the 'mirror-image' of that of the neutral species. The patterns have been interpreted according to the ipsocentric formulation of the current density. Magnetizability and excitation energy suggest that the hexaanion should be an aromatic molecule. The next homologue of altan-corannulene 6-, altan-altan-corannulene 6-, has also been studied. Its large diamagnetizability has been effectively used to model the magnetic response of C 80 6cages.

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Section: Resultsmentioning

confidence: 99%

Anionic derivatives of altan‐corannulene

Monaco

Zanasi

2013

J of Physical Organic Chem

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“…However, there is still a unique correspondence between the position of the peaks in the absorption image and the initial quasi-momentum distribution (see also Ref. [19]). Consequently, the latter provides a means to experimentally determine the quasi-momentum of the wavefunction before the release.…”

Section: Detectionmentioning

confidence: 99%

Generation of macroscopic superposition states in ring superlattices

Nunnenkamp

Rey²,

Burnett

2008

Phys. Rev. A

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Ultracold bosons in rotating ring lattices have previously been shown to form macroscopic superpositions of different quasi-momentum states. We demonstrate that the generation of such kind of states using slightly non-uniform ring lattices has several advantages: the energy gap decreases less severely with the number of particles, the sensitivity to detunings from the critical rotation frequency is reduced, and the scheme is not limited to commensurate filling. We show that different quasi-momentum states can be distinguished in timeof-flight absorption imaging and propose to probe correlations via the many-body oscillations induced by a sudden change in the rotation frequency.

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“…On the other hand, the quasiangular momentum of the ground state, which is the generator of the discrete rotation, change by integer value for symmetry-incommensurate filling with increasing rotational frequency. It is associated with changes in the phase winding Θ cf which jumps by 2π each time the quasi angular momentum of the ground state changes [19,30,32]. The change in the phase winding of the ground state denote quantum phase transitions and is associated with vortex entering the system.…”

Section: Introductionmentioning

confidence: 99%

Quantum Vortex States in Bose Hubbard Model With Rotation

Khanore,

Dey

2019

Preprint

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We study quantum vortex states of strongly interacting bosons in a two-dimensional rotating optical lattice. The system is modeled by Bose-Hubbard Hamiltonian with rotation. We consider lattices of different geometries, such as, square, rectangular and triangular. Using numerical exact diagonalization method we show how the rotation introduces vortex states of different ground-state symmetries and the transition between these states at discrete rotation frequencies. We show how the geometry of the lattice plays crucial role in determining the maximum number of vortex states as well as the general characteristics of these states such as, the average angular momentum < Lz >, the current at the perimeter of the lattice, phase winding, the relation between the maximum phase difference, the maximum current and also the saturation of the current between the two neighboring lattice points. The effect of the two-and three-body interactions between the particles, both attractive and repulsive, also depends on the geometry of the lattice as the current flow or the lattice current depends on the interactions. We also consider the effect of the spatial inhomogeneity introduced by the presence of an additional confining harmonic trap potential. It is shown that the curvature of the trap potential and the position of the minimum of the trap potential with respect to the axis of rotation or the center of the lattice have significant effect on the general characteristics these vortex states.I.

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Quasi-angular momentum of Bose and Fermi gases in rotating optical lattices

Cited by 14 publications

References 55 publications

Anionic derivatives of altan‐corannulene

Anionic derivatives of altan‐corannulene

Generation of macroscopic superposition states in ring superlattices

Quantum Vortex States in Bose Hubbard Model With Rotation

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