189 research outputs found
Mean-field phase diagram for Bose-Hubbard Hamiltonians with random hopping
The zero-temperature phase diagram for ultracold Bosons in a random 1D
potential is obtained through a site-decoupling mean-field scheme performed
over a Bose-Hubbard (BH) Hamiltonian whose hopping term is considered as a
random variable. As for the model with random on-site potential, the presence
of disorder leads to the appearance of a Bose-glass phase. The different phases
-i.e. Mott insulator, superfluid, Bose-glass- are characterized in terms of
condensate fraction and superfluid fraction. Furthermore, the boundary of the
Mott lobes are related to an off-diagonal Anderson model featuring the same
disorder distribution as the original BH Hamiltonian.Comment: 7 pages, 6 figures. Submitted to Laser Physic
Gutzwiller approach to the Bose-Hubbard model with random local impurities
Recently it has been suggested that fermions whose hopping amplitude is
quenched to extremely low values provide a convenient source of local disorder
for lattice bosonic systems realized in current experiment on ultracold atoms.
Here we investigate the phase diagram of such systems, which provide the
experimental realization of a Bose-Hubbard model whose local potentials are
randomly extracted from a binary distribution. Adopting a site-dependent
Gutzwiller description of the state of the system, we address one- and
two-dimensional lattices and obtain results agreeing with previous findings, as
far as the compressibility of the system is concerned. We discuss the expected
peaks in the experimental excitation spectrum of the system, related to the
incompressible phases, and the superfluid character of the {\it partially
compressible phases} characterizing the phase diagram of systems with binary
disorder. In our investigation we make use of several analytical results whose
derivation is described in the appendices, and whose validity is not limited to
the system under concern.Comment: 12 pages, 5 figures. Some adjustments made to the manuscript and to
figures. A few relevant observations added throughout the manuscript.
Bibliography made more compact (collapsed some items
Expansion dynamics in the one-dimensional Fermi-Hubbard model
Expansion dynamics of interacting fermions in a lattice are simulated within
the one-dimensional (1D) Hubbard model, using the essentially exact
time-evolving block decimation (TEBD) method. In particular, the expansion of
an initial band-insulator state is considered. We analyze the simulation
results based on the dynamics of a two-site two-particle system, the so-called
Hubbard dimer. Our findings describe essential features of a recent experiment
on the expansion of a Fermi gas in a two-dimensional lattice. We show that the
Hubbard-dimer dynamics, combined with a two-fluid model for the paired and
non-paired components of the gas, gives an efficient description of the full
dynamics. This should be useful for describing dynamical phenomena of strongly
interacting Fermions in a lattice in general.Comment: Fig. 9 changed, text + supplementary material revise
Enhancing Optomechanical Coupling via the Josephson Effect
Cavity optomechanics is showing promise for studying quantum mechanics in large systems. However, the smallness of the radiation-pressure coupling is a serious hindrance. Here we show how the charge tuning of the Josephson inductance in a single-Cooper-pair transistor can be exploited to arrange a strong radiation-pressure-type coupling g0 between mechanical and microwave resonators. In a certain limit of parameters, such a coupling can also be seen as a qubit-mediated coupling of two resonators. We show that this scheme allows reaching extremely high g0. Contrary to the recent proposals for exploiting the nonlinearity of a large radiation-pressure coupling, the main nonlinearity in this setup originates from a cross-Kerr type of coupling between the resonators, where the cavity refractive index depends on the phonon number. The presence of this coupling will allow accessing the individual phonon numbers via the measurement of the cavity.Peer reviewe
Spin-asymmetric Josephson effect
The Josephson effect is a manifestation of the macroscopic phase coherence of
superconductors and superfluids. We propose that with ultracold Fermi gases one
can realise a spin-asymmetric Josephson effect in which the two spin components
of a Cooper pair are driven asymmetrically - corresponding to driving a
Josephson junction of two superconductors with different voltages V_\uparrow
and V_\downarrow for spin up and down electrons, respectively. We predict that
the spin up and down components oscillate at the same frequency but with
different amplitudes. Our results reveal that the standard description of the
Josephson effect in terms of bosonic pair tunnelling is insufficient. We
provide an intuitive interpretation of the Josephson effect as interference in
Rabi oscillations of pairs and single particles, the latter causing the
asymmetry.Comment: Article: 4 pages, 3 figures. Supplementary material: 12 pages, 7
figure
Hopping modulation in a one-dimensional Fermi-Hubbard Hamiltonian
We consider a strongly repulsive two-component Fermi gas in a one-dimensional
(1D) optical lattice described in terms of a Hubbard Hamiltonian. We analyze
the response of the system to a periodic modulation of the hopping amplitude in
presence of large two body interaction. By (essentially) exact simulations of
the time evolution, we find a non-trivial double occupancy frequency
dependence. We show how the dependence relates to the spectral features of the
system given by the Bethe ansatz. The discrete nature of the spectrum is
clearly reflected in the double occupancy after long enough modulation time. We
also discuss the implications of the 1D results to experiments in higher
dimensional systems.Comment: 4 pages, 5 figures; minor changes in the text, updated references
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
- …