47 research outputs found
Effective multi-body induced tunneling and interactions in the Bose-Hubbard model of the lowest dressed band of an optical lattice
We construct the effective lowest-band Bose-Hubbard model incorporating
interaction-induced on-site correlations. The model is based on ladder
operators for local correlated states, which deviate from the usual Wannier
creation and annihilation, allowing for a systematic construction of the most
appropriate single-band low-energy description in the form of the extended
Bose-Hubbard model. A formulation of this model in terms of ladder operators
not only naturally contains the previously found effective multibody
interactions, but also contains multibody-induced single-particle tunneling,
pair tunneling, and nearest-neighbor interaction processes of higher orders. An
alternative description of the same model can be formulated in terms of
occupation-dependent Bose-Hubbard parameters. These multiparticle effects can
be enhanced using Feshbach resonances, leading to corrections which are well
within experimental reach and of significance to the phase diagram of ultracold
bosonic atoms in an optical lattice. We analyze the energy-reduction mechanism
of interacting atoms on a local lattice site and show that this cannot be
explained only by a spatial broadening of Wannier orbitals on a single-particle
level, which neglects correlations.Comment: 16 pages, 6 figure
Localization of correlated fermions in optical lattices with speckle disorder
Strongly correlated fermions in three- and two-dimensional optical lattices
with experimentally realistic speckle disorder are investigated. We extend and
apply the statistical dynamical mean-field theory, which treats local
correlations non-perturbatively, to incorporate on-site and hopping-type
randomness on equal footing. Localization due to disorder is detected via the
probability distribution function of the local density of states. We obtain a
complete paramagnetic ground state phase diagram for experimentally realistic
parameters and find a strong suppression of the correlation-induced metal
insulator transition due to disorder. Our results indicate that the
Anderson-Mott and the Mott insulator are not continuously connected due to the
specific character of speckle disorder. Furthermore, we discuss the effect of
finite temperature on the single-particle spectral function.Comment: 12 pages, 16 figures, published versio
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
Equilibrium and Disorder-induced behavior in Quantum Light-Matter Systems
We analyze equilibrium properties of coupled-doped cavities described by the
Jaynes-Cummings- Hubbard Hamiltonian. In particular, we characterize the
entanglement of the system in relation to the insulating-superfluid phase
transition. We point out the existence of a crossover inside the superfluid
phase of the system when the excitations change from polaritonic to purely
photonic. Using an ensemble statistical approach for small systems and
stochastic-mean-field theory for large systems we analyze static disorder of
the characteristic parameters of the system and explore the ground state
induced statistics. We report on a variety of glassy phases deriving from the
hybrid statistics of the system. On-site strong disorder induces insulating
behavior through two different mechanisms. For disorder in the light-matter
detuning, low energy cavities dominate the statistics allowing the excitations
to localize and bunch in such cavities. In the case of disorder in the light-
matter coupling, sites with strong coupling between light and matter become
very significant, which enhances the Mott-like insulating behavior. Inter-site
(hopping) disorder induces fluidity and the dominant sites are strongly coupled
to each other.Comment: about 10 pages, 12 figure
Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms
We propose and theoretically investigate a hybrid system composed of a
crystal of trapped ions coupled to a cloud of ultracold fermions. The ions form
a periodic lattice and induce a band structure in the atoms. This system
combines the advantages of scalability and tunability of ultracold atomic
systems with the high fidelity operations and detection offered by trapped ion
systems. It also features close analogies to natural solid-state systems, as
the atomic degrees of freedom couple to phonons of the ion lattice, thereby
emulating a solid-state system. Starting from the microscopic many-body
Hamiltonian, we derive the low energy Hamiltonian including the atomic band
structure and give an expression for the atom-phonon coupling. We discuss
possible experimental implementations such as a Peierls-like transition into a
period-doubled dimerized state.Comment: 5 pages + appendi
Atomic-Scale Nuclear Spin Imaging Using Quantum-Assisted Sensors in Diamond
Nuclear spin imaging at the atomic level is essential for the understanding of fundamental biological phenomena and for applications such as drug discovery. The advent of novel nanoscale sensors promises to achieve the long-standing goal of single-protein, high spatial-resolution structure determination under ambient conditions. In particular, quantum sensors based on the spin-dependent photoluminescence of nitrogen-vacancy (NV) centers in diamond have recently been used to detect nanoscale ensembles of external nuclear spins. While NV sensitivity is approaching single-spin levels, extracting relevant information from a very complex structure is a further challenge since it requires not only the ability to sense the magnetic field of an isolated nuclear spin but also to achieve atomic-scale spatial resolution. Here, we propose a method that, by exploiting the coupling of the NV center to an intrinsic quantum memory associated with the nitrogen nuclear spin, can reach a tenfold improvement in spatial resolution, down to atomic scales. The spatial resolution enhancement is achieved through coherent control of the sensor spin, which creates a dynamic frequency filter selecting only a few nuclear spins at a time. We propose and analyze a protocol that would allow not only sensing individual spins in a complex biomolecule, but also unraveling couplings among them, thus elucidating local characteristics of the molecule structure.Physic
Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator
We provide a rigorous derivation of Gutzwiller mean-field dynamics for
lattice bosons, showing that it is exact on fully connected lattices. We apply
this formalism to quenches in the interaction parameter from the Mott insulator
to the superfluid state. Although within mean-field the Mott insulator is a
steady state, we show that a dynamical critical interaction exists, such
that for final interaction parameter the Mott insulator is
exponentially unstable towards emerging long-range superfluid order, whereas
for the Mott insulating state is stable. We discuss the implications
of this prediction for finite-dimensional systems.Comment: 6 pages, 3 figures, published versio
Dynamics of cold bosons in optical lattices: Effects of higher Bloch bands
The extended effective multiorbital Bose-Hubbard-type Hamiltonian which takes
into account higher Bloch bands, is discussed for boson systems in optical
lattices, with emphasis on dynamical properties, in relation with current
experiments. It is shown that the renormalization of Hamiltonian parameters
depends on the dimension of the problem studied. Therefore, mean field phase
diagrams do not scale with the coordination number of the lattice. The effect
of Hamiltonian parameters renormalization on the dynamics in reduced
one-dimensional optical lattice potential is analyzed. We study both the
quasi-adiabatic quench through the superfluid-Mott insulator transition and the
absorption spectroscopy, that is energy absorption rate when the lattice depth
is periodically modulated.Comment: 23 corrected interesting pages, no Higgs boson insid
Critical temperature of non-interacting Bose gases on disordered lattices
For a non-interacting Bose gas on a lattice we compute the shift of the
critical temperature for condensation when random-bond and onsite disorder are
present. We evidence that the shift depends on the space dimensionality D and
the filling fraction f. For D -> infinity (infinite-range model), using results
from the theory of random matrices, we show that the shift of the critical
temperature is negative, depends on f, and vanishes only for large f. The
connections with analogous results obtained for the spherical model are
discussed. For D=3 we find that, for large f, the critical temperature Tc is
enhanced by disorder and that the relative shift does not sensibly depend on f;
at variance, for small f, Tc decreases in agreement with the results obtained
for a Bose gas in the continuum. We also provide numerical estimates for the
shift of the critical temperature due to disorder induced on a non-interacting
Bose gas by a bichromatic incommensurate potential.Comment: 18 pages, 8 figures; Fig. 8 improved adding results for another value
of q (q=830/1076