Critical velocity of a mobile impurity in one-dimensional quantum liquids.

We study the notion of superfluid critical velocity in one spatial dimension. It is shown that, for heavy impurities with mass M exceeding a critical mass Mc, the dispersion develops periodic metastable branches resulting in dramatic changes of dynamics in the presence of an external driving force. In contrast to smooth Bloch oscillations for M

Phase diagram of two-dimensional polar condensates in a magnetic field.

Spin-1 condensates in the polar (antiferromagnetic) phase in two dimensions are shown to undergo a transition of the Ising type, in addition to the expected Kosterlitz-Thouless (KT) transition of half-vortices, due to the quadratic Zeeman effect. We establish the phase diagram in terms of temperature and the strength of the Zeeman effect using Monte Carlo simulations. When the Zeeman effect is sufficiently strong, the Ising and KT transitions meet. For very strong Zeeman field the remaining transition is of the familiar integer KT type.

Non-Fermi-liquid fixed point for an imbalanced gas of fermions in 1+ϵ dimensions.

We consider a gas of two species of fermions with population imbalance. Using the renormalization group in d=1+ϵ spatial dimensions, we show that for spinless fermions and 2>ϵ>0 a fixed point appears at finite attractive coupling where the quasiparticle residue vanishes, and identify this with the transition to Larkin-Ovchinnikov-Fulde-Ferrell order (inhomogeneous superconductivity). When the two species of fermions also carry spin degrees of freedom we find a fixed point indicating a transition to spin density wave order.

Polarized Fermi condensates with unequal masses: tuning the tricritical point.

We consider a two-component atomic Fermi gas within a mean-field, single-channel model, where both the mass and population of each component are unequal. We show that the tricritical point at zero temperature evolves smoothly from the BEC to BCS side of the resonance as a function of mass ratio r. We find that the interior gap state proposed by Liu and Wilczek is always unstable to phase separation, while the breached pair state with one Fermi surface for the excess fermions exhibits differences in its density of states and pair correlation functions depending on which side of the resonance it lies. Finally, we show that, when r greater, similar 3.95, the finite-temperature phase diagram of trapped gases at unitarity becomes topologically distinct from the equal mass system.

Phase-sensitive noise in quantum dots under periodic perturbation.

We evaluate the ensemble averaged noise in a chaotic quantum dot subject to dc bias and a periodic perturbation of frequency Omega. The noise displays cusps at bias V(n)=n variant Planck's over 2 pi Omega/e that survive the average, even when the period of the perturbation is far shorter than the dwell time in the dot. These features are sensitive to the phase of the time-dependent scattering amplitudes of electrons to pass through the system, and thus provide a novel signature of phase-coherent transport that persists into the nonadiabatic limit.

Tail states in a superconductor with magnetic impurities

A field theoretic approach is developed to investigate the profile and spectrum of subgap states in a superconductor subject to a weak magnetic impurity potential. Such states are found to be associated with spatially inhomogeneous instanton configurations of the action.