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Spin-imbalance in a one-dimensional Fermi gas
Experimental measurements of density profiles of a two-spin mixture of ultracold 6Li atoms trapped in an array of 1D tubes show that at finite spin imbalance, the system phase separates with an inverted phase profile, as compared to the 3D case.
Fragmentation of Bose-Einstein Condensates
We present the theory of bosonic systems with multiple condensates, providing a unified description of various model systems that are found in the literature. We discuss how degeneracies,
Exact parent Hamiltonian for the quantum Hall states in a lattice.
It is shown how longer range hopping can be engineered to produce a massively degenerate manifold of single-particle ground states with wave functions identical to those making up the lowest Landau level of continuum electrons in a magnetic field.
Two-component Bose-Einstein condensates with a large number of vortices.
This work considers the condensate wave function of a rapidly rotating two-component Bose gas with an equal number of particles in each component and finds that the two components contain identical rectangular vortex lattices.
High temperature expansion applied to fermions near Feshbach resonance.
We show that, apart from a difference in scale, all of the surprising recently observed properties of a degenerate Fermi gas near a Feshbach resonance persist in the high temperature Boltzmann
Local versus global equilibration near the bosonic Mott-insulator-superfluid transition.
A simple explanation for the short and fast time scales is provided, finding that while density or energy transport is dominated by low energy phonons, particle-hole excitations set the adiabaticity time for fast ramps.
Quasi-one-dimensional polarized fermi superfluids.
It is argued that the most promising regime for observing the FFLO phase is in the quasi-1D regime, where the atomic motion is largely 1D but there is weak tunneling in the other directions that stabilizes long-range order.
Superfluidity and mean-field energy loops: Hysteretic behavior in Bose-Einstein condensates
We present a theory of hysteretic phenomena in Bose gases, using superfluidity in one-dimensional rings and in optical lattices as primary examples. Through this study we are able to give a physical
Competing ground states of strongly correlated bosons in the Harper-Hofstadter-Mott model
Using an efficient cluster approach, we study the physics of two-dimensional lattice bosons in a strong magnetic field in the regime where the tunneling is much weaker than the on-site interaction
Non-Abelian braiding of lattice bosons.
This work introduces time-dependent potentials which move quasiparticle excitations around one another, explicitly simulating a braiding operation which could implement part of a gate in a quantum computation.