2,737 research outputs found
Edge-state instabilities of bosons in a topological band
In this work, we consider the dynamics of bosons in bands with non-trivial
topological structure. In particular, we focus on the case where bosons are
prepared in a higher-energy band and allowed to evolve. The Bogoliubov theory
about the initial state can have a dynamical instability, and we show that it
is possible to achieve the interesting situation where the topological edge
modes are unstable while all bulk modes are stable. Thus, after the initial
preparation, the edge modes will become rapidly populated. We illustrate this
with the Su-Schrieffer-Heeger model which can be realized with a double-well
optical lattice and is perhaps the simplest model with topological edge states.
This work provides a direct physical consequence of topological bands whose
properties are often not of immediate relevance for bosonic systems.Comment: 7 pages, 2 figure
Quantum Rotor Theory of Systems of Spin-2 Bosons
We consider quantum phases of tightly-confined spin-2 bosons in an external
field under the presence of rotationally-invariant interactions. Generalizing
previous treatments, we show how this system can be mapped onto a quantum rotor
model. Within the rotor framework, low-energy excitations about fragmented
states, which cannot be accessed within standard Bogoliubov theory, can be
obtained. In the spatially extended system in the thermodynamic limit there
exists a mean-field ground state degeneracy between a family of nematic states
for appropriate interaction parameters. It has been established that quantum
fluctuations lift this degeneracy through the mechanism of order-by-disorder
and select either a uniaxial or square-biaxial ground state. On the other hand,
in the full quantum treatment of the analogous single-spatial mode problem with
finite particle number it is known that, due to symmetry restoring
fluctuations, there is a unique ground state across the entire nematic region
of the phase diagram. Within the established rotor framework we investigate the
possible quantum phases under the presence of a quadratic Zeeman field, a
problem which has previously received little attention. By investigating wave
function overlaps we do not find any signatures of the order-by-disorder
phenomenon which is present in the continuum case. Motivated by this we
consider an alternative external potential which breaks less symmetry than the
quadratic Zeeman field. For this case we do find the phenomenon of
order-by-disorder in the fully quantum system. This is established within the
rotor framework and with exact diagonalization
Order-by-Disorder Degeneracy Lifting of Interacting Bosons on the Dice Lattice
Motivated by recent experimental progress in the realization of synthetic
gauge fields in systems of ultracold atoms, we consider interacting bosons on
the dice lattice with half flux per plaquette. All bands of the non-interacting
spectrum of this system were previously found to have the remarkable property
of being completely dispersionless. We show that degeneracies remain when
interactions are treated at the level of mean field theory, and the ground
state exhibits vortex lattice configurations already established in the simpler
XY model in the same geometry. We argue that including quantum and thermal
fluctuations will select a unique vortex lattice up to overall symmetries based
on the order-by-disorder mechanism. We verify the stability of the selected
state by analyzing the condensate depletion. The latter is shown to exhibit an
unusual non-monotonic behavior as a function of the interaction parameters
which can be understood as a consequence of the dispersionless nature of the
non-interacting spectrum. Finally, we comment on the role of domain walls which
have interactions mediated through fluctuations.Comment: 9 pages, 5 figure
Particle-hole symmetric localization in optical lattices using time modulated random on-site potentials
The random hopping models exhibit many fascinating features, such as
diverging localization length and density of states as energy approaches the
bandcenter, due to its particle-hole symmetry. Nevertheless, such models are
yet to be realized experimentally because the particle-hole symmetry is easily
destroyed by diagonal disorder. Here we propose that a pure random hopping
model can be effectively realized in ultracold atoms by modulating a disordered
onsite potential in particular frequency ranges. This idea is motivated by the
recent development of the phenomena called "dynamical localization" or
"coherent destruction of tunneling". Investigating the application of this idea
in one dimension, we find that if the oscillation frequency of the disorder
potential is gradually increased from zero to infinity, one can tune a
non-interacting system from an Anderson insulator to a random hopping model
with diverging localization length at the band center, and eventually to a
uniform-hopping tight-binding model.Comment: 7 pages, 5 figure
Classifying Novel Phases of Spinor Atoms
We consider many-body states of bosonic spinor atoms which, at the mean-field
level, can be characterized by a single-particle wave function. Such states
include BEC phases and insulating Mott states with one atom per site. We
describe and apply a classification scheme that makes explicit spin symmetries
of such states and enables one to naturally analyze their collective modes and
topological excitations. Quite generally, the method allows classification of a
spin F system as a polyhedron with 2F vertices. After discussing the general
formalism we apply it to the many-body states of bosons with hyperfine spins
two and three. For spin-two atoms we find the ferromagnetic state, a continuum
of nematic states, and a state having the symmetry of the point group of the
regular tetrahedron. For spin-three atoms we obtain similar ferromagnetic and
nematic phases as well as states having symmetries of various types of
polyhedra with six vertices: the hexagon, the pyramid with pentagonal base, the
prism, and the octahedron.Comment: Added references, corrected typos, minor changes in tex
Selective Population of Edge States in a 2D Topological Band System
We consider a system of interacting spin-one atoms in a hexagonal lattice
under the presence of a synthetic gauge field. Quenching the quadratic Zeeman
field is shown to lead to a dynamical instability of the edge modes. This, in
turn, leads to a spin current along the boundary of the system which grows
exponentially fast in time following the quench. Tuning the magnitude of the
quench can be used to selectively populate edge modes of different momenta.
Implications of the intrinsic symmetries of Hamiltonian on the dynamics are
discussed. The results hold for atoms with both antiferromagnetic and
ferromagnetic interactions.Comment: 7 pages (expanded Supplemental Material
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