664 research outputs found
Collisional cooling of ultra-cold atom ensembles using Feshbach resonances
We propose a new type of cooling mechanism for ultra-cold fermionic atom
ensembles, which capitalizes on the energy dependence of inelastic collisions
in the presence of a Feshbach resonance. We first discuss the case of a single
magnetic resonance, and find that the final temperature and the cooling rate is
limited by the width of the resonance. A concrete example, based on a p-wave
resonance of K, is given. We then improve upon this setup by using both
a very sharp optical or radio-frequency induced resonance and a very broad
magnetic resonance and show that one can improve upon temperatures reached with
current technologies.Comment: 4 pages, 3 figure
Light cone dynamics and reverse Kibble-Zurek mechanism in two-dimensional superfluids following a quantum quench
We study the dynamics of the relative phase of a bilayer of two-dimensional
superfluids after the two superfluids have been decoupled. We find that on
short time scales the relative phase shows "light cone" like dynamics and
creates a metastable superfluid state, which can be supercritical. We also
demonstrate similar light cone dynamics for the transverse field Ising model.
On longer time scales the supercritical state relaxes to a disordered state due
to dynamical vortex unbinding. This scenario of dynamically suppressed vortex
proliferation constitutes a reverse-Kibble-Zurek effect. We study this effect
both numerically using truncated Wigner approximation and analytically within a
newly suggested time dependent renormalization group approach (RG). In
particular, within RG we show that there are two possible fixed points for the
real time evolution corresponding to the superfluid and normal steady states.
So depending on the initial conditions and the microscopic parameters of the
Hamiltonian the system undergoes a non-equilibrium phase transition of the
Kosterlitz-Thouless type. The time scales for the vortex unbinding near the
critical point are exponentially divergent, similar to the equilibrium case.Comment: 14 pages, 10 figure
Dynamic Kosterlitz-Thouless transition in 2D Bose mixtures of ultra-cold atoms
We propose a realistic experiment to demonstrate a dynamic
Kosterlitz-Thouless transition in ultra-cold atomic gases in two dimensions.
With a numerical implementation of the Truncated Wigner Approximation we
simulate the time evolution of several correlation functions, which can be
measured via matter wave interference. We demonstrate that the relaxational
dynamics is well-described by a real-time renormalization group approach, and
argue that these experiments can guide the development of a theoretical
framework for the understanding of critical dynamics.Comment: 5 pages, 6 figure
Unconventional Spin Density Waves in Dipolar Fermi Gases
The conventional spin density wave (SDW) phase (Overhauser, 1962), as found
in antiferromagnetic metal for example (Fawcett 1988), can be described as a
condensate of particle-hole pairs with zero angular momentum, ,
analogous to a condensate of particle-particle pairs in conventional
superconductors. While many unconventional superconductors with Cooper pairs of
finite have been discovered, their counterparts, density waves with
non-zero angular momenta, have only been hypothesized in two-dimensional
electron systems (Nayak, 2000). Using an unbiased functional renormalization
group analysis, we here show that spin-triplet particle-hole condensates with
emerge generically in dipolar Fermi gases of atoms (Lu, Burdick, and
Lev, 2012) or molecules (Ospelkaus et al., 2008; Wu et al.) on optical lattice.
The order parameter of these exotic SDWs is a vector quantity in spin space,
and, moreover, is defined on lattice bonds rather than on lattice sites. We
determine the rich quantum phase diagram of dipolar fermions at half-filling as
a function of the dipolar orientation, and discuss how these SDWs arise amidst
competition with superfluid and charge density wave phases.Comment: 5 pages, 3 figure
Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices
We study the phase diagram of two-dimensional Bose-Fermi mixtures of
ultracold atoms on a triangular optical lattice, in the limit when the velocity
of bosonic condensate fluctuations is much larger than the Fermi velocity.
We contrast this work with our previous results for a square lattice system
in Phys. Rev. Lett. {\bf 97}, 030601 (2006).
Using functional renormalization group techniques we show that the phase
diagrams for a triangular lattice contain exotic superconducting phases. For
spin-1/2 fermions on an isotropic lattice we find a competition of -, -,
extended -, and -wave symmetry, as well as antiferromagnetic order. For
an anisotropic lattice, we further find an extended p-wave phase. A Bose-Fermi
mixture with spinless fermions on an isotropic lattice shows a competition
between - and -wave symmetry.
These phases can be traced back to the geometric shapes of the Fermi surfaces
in various regimes, as well as the intrinsic frustration of a triangular
lattice.Comment: 6 pages, 4 figures, extended version, slight modification
Intrinsic Photoconductivity of Ultracold Fermions in Optical Lattices
We report on the experimental observation of an analog to a persistent
alternating photocurrent in an ultracold gas of fermionic atoms in an optical
lattice. The dynamics is induced and sustained by an external harmonic
confinement. While particles in the excited band exhibit long-lived
oscillations with a momentum dependent frequency a strikingly different
behavior is observed for holes in the lowest band. An initial fast collapse is
followed by subsequent periodic revivals. Both observations are fully explained
by mapping the system onto a nonlinear pendulum.Comment: 5+7 pages, 4+4 figure
Noise Correlations of Hard-core Bosons: Quantum Coherence and Symmetry Breaking
Noise correlations, such as those observable in the time of flight images of
a released cloud, are calculated for hard-core bosonic (HCB) atoms. We find
that the standard mapping of HCB systems onto spin-1/2 XY models fails in
application to computation of noise correlations due to the contribution of
multiply occupied virtual states in HCB systems. Such states do not exist in
spin models. An interesting manifestation of such states is the breaking of
particle-hole symmetry in HCB. We use noise correlations to explore quantum
coherence of strongly correlated bosons in the fermionized regime with and
without external parabolic confinement. Our analysis points to distinctive new
experimental signatures of the Mott phase.Comment: 17 pages, 6 figures. This is a detailed revised version of
quant-ph/0507153. It has been submitted to Journal of Physics B: the special
edition for the Cortona BEC worksho
Phase fluctuations in anisotropic Bose condensates: from cigars to rings
We study the phase-fluctuating condensate regime of ultra-cold atoms trapped
in a ring-shaped trap geometry, which has been realized in recent experiments.
We first consider a simplified box geometry, in which we identify the
conditions to create a state that is dominated by thermal phase-fluctuations,
and then explore the experimental ring geometry. In both cases we demonstrate
that the requirement for strong phase fluctuations can be expressed in terms of
the total number of atoms and the geometric length scales of the trap only. For
the ring-shaped trap we discuss the zero temperature limit in which a
condensate is realized where the phase is fluctuating due to interactions and
quantum fluctuations. We also address possible ways of detecting the phase
fluctuating regime in ring condensates.Comment: 10 pages, 5 figures, minor edit
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