20 research outputs found
Orbital physics of polar Fermi molecules
We study a system of polar dipolar fermions in a two-dimensional optical
lattice and show that multi-band Fermi-Hubbard model is necessary to discuss
such system. By taking into account both on-site, and long-range interactions
between different bands, as well as occupation-dependent inter- and intra-band
tunneling, we predict appearance of novel phases in the strongly-interacting
limit
Many body population trapping in ultracold dipolar gases
A system of interacting dipoles is of paramount importance for understanding
of many-body physics. The interaction between dipoles is {\it anisotropic} and
{\it long-range}. While the former allows to observe rich effects due to
different geometries of the system, long-range () interactions lead to
strong correlations between dipoles and frustration. In effect, interacting
dipoles in a lattice form a paradigmatic system with strong correlations and
exotic properties with possible applications in quantum information
technologies, and as quantum simulators of condensed matter physics, material
science, etc. Notably, such a system is extremely difficult to model due to a
proliferation of interaction induced multi-band excitations for sufficiently
strong dipole-dipole interactions. In this article we develop a consistent
theoretical model of interacting polar molecules in a lattice by applying the
concepts and ideas of ionization theory which allows us to include highly
excited Bloch bands. Additionally, by involving concepts from quantum optics
(population trapping), we show that one can induce frustration and engineer
exotic states, such as Majumdar-Ghosh state, or vector-chiral states in such a
system.Comment: many interesting page
Clustered superfluids in the one-dimensional Bose-Hubbard model with extended correlated hopping
Bosonic lattice systems with nontrivial interactions represent an intriguing platform to study exotic phases of matter. Here, we study the effects of extended correlated hopping processes in a system of bosons trapped in a lattice geometry. The interplay between single particle tunneling terms, correlated hopping processes, and onsite repulsion is studied by means of a combination of exact diagonalization, strong coupling expansion, and cluster mean field theory. We identify a rich ground state phase diagram where, apart from the usual Mott and superfluid states, superfluid phases with interesting clustering properties occur
Unconventional superfluidity of fermions in Bose-Fermi mixtures
We examine two dimensional mixture of single-component fermions and dipolar
bosons. We calculate the self-enregies of the fermions in the normal state and
the Cooper pair channel by including first order vertex correction to derive a
modified Eliashberg equation. We predict appearance of superfluids with various
non-standard pairing symmetries at experimentally feasible transition
temperatures within the strong-coupling limit of the Eliashberg equation.
Excitations in these superfluids are anyonic and follow non-Abelian statistics
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
Bose-Hubbard model with occupation dependent parameters
We study the ground-state properties of ultracold bosons in an optical
lattice in the regime of strong interactions. The system is described by a
non-standard Bose-Hubbard model with both occupation-dependent tunneling and
on-site interaction. We find that for sufficiently strong coupling the system
features a phase-transition from a Mott insulator with one particle per site to
a superfluid of spatially extended particle pairs living on top of the Mott
background -- instead of the usual transition to a superfluid of single
particles/holes. Increasing the interaction further, a superfluid of particle
pairs localized on a single site (rather than being extended) on top of the
Mott background appears. This happens at the same interaction strength where
the Mott-insulator phase with 2 particles per site is destroyed completely by
particle-hole fluctuations for arbitrarily small tunneling. In another regime,
characterized by weak interaction, but high occupation numbers, we observe a
dynamical instability in the superfluid excitation spectrum. The new ground
state is a superfluid, forming a 2D slab, localized along one spatial direction
that is spontaneously chosen.Comment: 16 pages, 4 figure
Can One Trust Quantum Simulators?
Various fundamental phenomena of strongly-correlated quantum systems such as
high- superconductivity, the fractional quantum-Hall effect, and quark
confinement are still awaiting a universally accepted explanation. The main
obstacle is the computational complexity of solving even the most simplified
theoretical models that are designed to capture the relevant quantum
correlations of the many-body system of interest. In his seminal 1982 paper
[Int. J. Theor. Phys. 21, 467], Richard Feynman suggested that such models
might be solved by "simulation" with a new type of computer whose constituent
parts are effectively governed by a desired quantum many-body dynamics.
Measurements on this engineered machine, now known as a "quantum simulator,"
would reveal some unknown or difficult to compute properties of a model of
interest. We argue that a useful quantum simulator must satisfy four
conditions: relevance, controllability, reliability, and efficiency. We review
the current state of the art of digital and analog quantum simulators. Whereas
so far the majority of the focus, both theoretically and experimentally, has
been on controllability of relevant models, we emphasize here the need for a
careful analysis of reliability and efficiency in the presence of
imperfections. We discuss how disorder and noise can impact these conditions,
and illustrate our concerns with novel numerical simulations of a paradigmatic
example: a disordered quantum spin chain governed by the Ising model in a
transverse magnetic field. We find that disorder can decrease the reliability
of an analog quantum simulator of this model, although large errors in local
observables are introduced only for strong levels of disorder. We conclude that
the answer to the question "Can we trust quantum simulators?" is... to some
extent.Comment: 20 pages. Minor changes with respect to version 2 (some additional
explanations, added references...
The physics of dipolar bosonic quantum gases
This article reviews the recent theoretical and experimental advances in the
study of ultracold gases made of bosonic particles interacting via the
long-range, anisotropic dipole-dipole interaction, in addition to the
short-range and isotropic contact interaction usually at work in ultracold
gases. The specific properties emerging from the dipolar interaction are
emphasized, from the mean-field regime valid for dilute Bose-Einstein
condensates, to the strongly correlated regimes reached for dipolar bosons in
optical lattices.Comment: Review article, 71 pages, 35 figures, 350 references. Submitted to
Reports on Progress in Physic
Relativistic quantum effects of Dirac particles simulated by ultracold atoms
Quantum simulation is a powerful tool to study a variety of problems in
physics, ranging from high-energy physics to condensed-matter physics. In this
article, we review the recent theoretical and experimental progress in quantum
simulation of Dirac equation with tunable parameters by using ultracold neutral
atoms trapped in optical lattices or subject to light-induced synthetic gauge
fields. The effective theories for the quasiparticles become relativistic under
certain conditions in these systems, making them ideal platforms for studying
the exotic relativistic effects. We focus on the realization of one, two, and
three dimensional Dirac equations as well as the detection of some relativistic
effects, including particularly the well-known Zitterbewegung effect and Klein
tunneling. The realization of quantum anomalous Hall effects is also briefly
discussed.Comment: 22 pages, review article in Frontiers of Physics: Proceedings on
Quantum Dynamics of Ultracold Atom