55 research outputs found
Density matrix renormalization group for disordered bosons in one dimension
We calculate the zero-temperature phase diagram of the disordered
Bose-Hubbard model in one dimension using the density matrix renormalization
group. For integer filling the Mott insulator is always separated from the
superfluid by a Bose glass phase. There is a reentrance of the Bose glass both
as a function of the repulsive interaction and of disorder. At half-filling
where no Mott insulator exists, the superfluid density has a maximum where the
kinetic and repulsive energies are about the same. Superfluidity is suppressed
both for small and very strong repulsion but is always monotonic in disorder.Comment: 4 pages, 2 eps figures, uses RevTe
Dirty quantum Hall ferromagnets and quantum Hall spin glasses
We study quantum Hall ferromagnets in the presence of a random electrostatic
impurity potential, within the framework of a classical non-linear sigma model.
We discuss the behaviour of the system using a heuristic picture for the
competition between exchange and screening, and test our conclusions with
extensive numerical simulations. We obtain a phase diagram for the system as a
function of disorder strength and deviation of the average Landau level filling
factor from unity. Screening of an impurity potential requires distortions of
the spin configuration. In the absence of Zeeman coupling there is a
disorder-driven, zero-temperature phase transition from a ferromagnet at weak
disorder and small deviation from integer filling to a spin glass at stronger
disorder or large charge deviation. We characterise the spin glass phase in
terms of its magnetic and charge response, as well as its ac conductivity.Comment: 12 pages, 6 figures, REVTEX
Commensurate-incommensurate transition of cold atoms in an optical lattice
An atomic gas subject to a commensurate periodic potential generated by an
optical lattice undergoes a superfluid--Mott insulator transition. Confining a
strongly interacting gas to one dimension generates an instability where an
arbitrary weak potential is sufficient to pin the atoms into the Mott state;
here, we derive the corresponding phase diagram. The commensurate pinned state
may be detected via its finite excitation gap and the Bragg peaks in the static
structure factor.Comment: 4 pages, 2 figure
Large-N theory of strongly commensurate dirty-bosons: absence of transition in two dimensions
The spherical limit of strongly commensurate dirty-bosons is studied
perturbatively at weak disorder and numerically at strong disorder in two
dimensions (2D). We argue that disorder is not perfectly screened by
interactions, and consequently that the ground state in the effective Anderson
localisation problem always remains localised. As a result there is only a
gapped Mott insulator phase in the theory. Comparisons with other studies and
the parallel with disordered fermions in 2D are discussed. We conjecture that
while for the physical cases N=2 (XY) and N=1 (Ising) the theory should have
the ordered phase, it may not for N=3 (Heisenberg).Comment: 15 pages, 4 figures. Minor typographical errors correcte
Spin textures, screening and excitations in dirty quantum Hall ferromagnets
We study quantum Hall ferromagnets in the presence of a random electrostatic
impurity potential. Describing these systems with a classical non-linear sigma
model and using analytical estimates supported by results from numerical
simulations, we examine the nature of the ground state as a function of
disorder strength, , and deviation, , of the average Landau
level filling factor from unity. Screening of an impurity potential requires
distortions of the spin configuration, and in the absence of Zeeman coupling
there is a disorder-driven, zero-temperature phase transition from a
ferromagnet at small and to a spin glass at larger
or . We examine ground-state response functions and
excitations.Comment: 4 pages, 3 figure
Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model
We investigate the effect of diagonal disorder on bosons in an optical
lattice described by an Anderson-Hubbard model at zero temperature. It is known
that within Gutzwiller mean-field theory spatially resolved calculations suffer
particularly from finite system sizes in the disordered case, while arithmetic
averaging of the order parameter cannot describe the Bose glass phase for
finite hopping . Here we present and apply a new \emph{stochastic}
mean-field theory which captures localization due to disorder, includes
non-trivial dimensional effects beyond the mean-field scaling level and is
applicable in the thermodynamic limit. In contrast to fermionic systems, we
find the existence of a critical hopping strength, above which the system
remains superfluid for arbitrarily strong disorder.Comment: 6 pages, 6 figure
Strong coupling expansion for the Bose-Hubbard and the Jaynes-Cummings lattice model
A strong coupling expansion, based on the Kato-Bloch perturbation theory,
which has recently been proposed by Eckardt et al. [Phys. Rev. B 79, 195131]
and Teichmann et al. [Phys. Rev. B 79, 224515] is implemented in order to study
various aspects of the Bose-Hubbard and the Jaynes-Cummings lattice model. The
approach, which allows to generate numerically all diagrams up to a desired
order in the interaction strength is generalized for disordered systems and for
the Jaynes-Cummings lattice model. Results for the Bose-Hubbard and the
Jaynes-Cummings lattice model will be presented and compared with results from
VCA and DMRG. Our focus will be on the Mott insulator to superfluid transition.Comment: 29 pages, 21 figure
Glassy features of a Bose Glass
We study a two-dimensional Bose-Hubbard model at a zero temperature with
random local potentials in the presence of either uniform or binary disorder.
Many low-energy metastable configurations are found with virtually the same
energy as the ground state. These are characterized by the same blotchy pattern
of the, in principle, complex nonzero local order parameter as the ground
state. Yet, unlike the ground state, each island exhibits an overall random
independent phase. The different phases in different coherent islands could
provide a further explanation for the lack of coherence observed in experiments
on Bose glasses.Comment: 14 pages, 4 figures
Ultracold Bosonic Atoms in Disordered Optical Superlattices
The influence of disorder on ultracold atomic Bose gases in quasiperiodic
optical lattices is discussed in the framework of the one-dimensional
Bose-Hubbard model. It is shown that simple periodic modulations of the well
depths generate a rich phase diagram consisting of superfluid, Mott insulator,
Bose-glass and Anderson localized phases. The detailed evolution of mean
occupation numbers and number fluctuations as function of modulation amplitude
and interaction strength is discussed. Finally, the signatures of the different
phases, especially of the Bose-glass phase, in matter-wave interference
experiments are investigated.Comment: 4 pages, 4 figures, using REVTEX
Fragmented superfluid due to frustration of cold atoms in optical lattices
A one dimensional optical lattice is considered where a second dimension is
encoded in the internal states of the atoms giving effective ladder systems.
Frustration is introduced by an additional optical lattice that induces
tunneling of superposed atomic states. The effects of frustration range from
the stabilization of the Mott insulator phase with ferromagnetic order, to the
breakdown of superfluidity and the formation of a macroscopically fragmented
phase.Comment: New version, more results, about 20 page
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