258 research outputs found
Electromagnetic Response and Approximate SO(5) Symmetry in High-Tc Superconductors
It has been proposed that the effective Hamiltonian describing high T_c
superconductivity in cuprate materials has an approximate SO(5) symmetry
relating the superconducting (SC) and antiferromagnetic (AF) phases of these
systems. We show that robust consequences of this proposal are potentially
large optical conductivities and Raman scattering rates in the AF phase, due to
the electromagnetic response of the doubly-charged pseudo Goldstone bosons
which must exist there. This provides strong constraints on the properties of
the bosons, such as their mass gap and velocity.Comment: 4 pages, 3 figure
Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
We describe a general technique that allows to induce and control strong
interaction between spin states of neighboring atoms in an optical lattice. We
show that the properties of spin exchange interactions, such as magnitude,
sign, and anisotropy can be designed by adjusting the optical potentials. We
illustrate how this technique can be used to efficiently ``engineer'' quantum
spin systems with desired properties, for specific examples ranging from
scalable quantum computation to probing a model with non-trivial topological
orders that supports exotic non-abelian anyonic excitations.Comment: 5 pages, 2 figures, revte
Breakdown of the local density approximation in interacting systems of cold fermions in strongly anisotropic traps
We consider spin-polarized mixtures of cold fermionic atoms on the BEC side
of the Feshbach resonance. We demonstrate that a strongly anisotropic confining
potential can give rise to a double-peak structure in the axial distribution of
the density difference and a polarization-dependent aspect ratio of the
minority species. Both phenomena appear as a result of the breakdown of the
local density approximation for the phase-separated regime. We speculate on the
implications of our findings for the unitary regime.Comment: Final published versio
Antiferromagnetic noise correlations in optical lattices
We analyze how noise correlations probed by time-of-flight (TOF) experiments
reveal antiferromagnetic (AF) correlations of fermionic atoms in
two-dimensional (2D) and three-dimensional (3D) optical lattices. Combining
analytical and quantum Monte Carlo (QMC) calculations using experimentally
realistic parameters, we show that AF correlations can be detected for
temperatures above and below the critical temperature for AF ordering. It is
demonstrated that spin-resolved noise correlations yield important information
about the spin ordering. Finally, we show how to extract the spin correlation
length and the related critical exponent of the AF transition from the noise.Comment: 4 pages, 4 figure
Collective phenomena in quasi-two-dimensional fermionic polar molecules: band renormalization and excitons
We theoretically analyze a quasi-two-dimensional system of fermionic polar
molecules in a harmonic transverse confining potential. The renormalized energy
bands are calculated by solving the Hartree-Fock equation numerically for
various trap and dipolar interaction strengths. The inter-subband excitations
of the system are studied in the conserving time-dependent Hartree-Fock (TDHF)
approximation from the perspective of lattice modulation spectroscopy
experiments. We find that the excitation spectrum consists of both
inter-subband particle-hole excitation continuums and anti-bound excitons,
arising from the anisotropic nature of dipolar interactions. The excitonic
modes capture the majority of the spectral weight. We also evaluate the
inter-subband transition rates in order to investigate the nature of the
excitonic modes and find that they are anti-bound states formed from
particle-hole excitations arising from several subbands. Our results indicate
that the excitonic effects are present for interaction strengths and
temperatures accessible in current experiments with polar molecules.Comment: 21 pages, 12 figure
Canted ground state in artificial molecules at high magnetic fields
We analyze the transitions that a magnetic field provokes in the ground state
of an artificial homonuclear diatomic molecule. For that purpose, we have
performed numerical diagonalizations for a double quantum dot around the regime
of filling factor 2. We present phase diagrams in terms of tunneling and Zeeman
couplings, and confinement strength. We identify a series of transitions from
ferromagnetic to symmetric states through a set of canted states with
antiferromagnetic couping between the two quantum dots
Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux attachment to ℤ2 lattice gauge theories
From the standard model of particle physics to strongly correlated electrons, various physical settings are formulated in terms of matter coupled to gauge fields. Quantum simulations based on ultracold atoms in optical lattices provide a promising avenue to study these complex systems and unravel the underlying many-body physics. Here, we demonstrate how quantized dynamical gauge fields can be created in mixtures of ultracold atoms in optical lattices, using a combination of coherent lattice modulation with strong interactions. Specifically, we propose implementation of ℤ2 lattice gauge theories coupled to matter, reminiscent of theories previously introduced in high-temperature superconductivity. We discuss a range of settings from zero-dimensional toy models to ladders featuring transitions in the gauge sector to extended two-dimensional systems. Mastering lattice gauge theories in optical lattices constitutes a new route toward the realization of strongly correlated systems, with properties dictated by an interplay of dynamical matter and gauge fields
Neutral skyrmion configurations in the low-energy effective theory of spinor condensate ferromagnets
We study the low-energy effective theory of spinor condensate ferromagnets
for the superfluid velocity and magnetization degrees of freedom. This
effective theory describes the competition between spin stiffness and a
long-ranged interaction between skyrmions, topological objects familiar from
the theory of ordinary ferromagnets. We find exact solutions to the non-linear
equations of motion describing neutral configurations of skyrmions and
anti-skyrmions. These analytical solutions provide a simple physical picture
for the origin of crystalline magnetic order in spinor condensate ferromagnets
with dipolar interactions. We also point out the connections to effective
theories for quantum Hall ferromagnets.Comment: 13 pages, 7 figure
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