Spin waves in a spin-1 Bose gas (2009)
Natu, Stefan S., Mueller, Erich J.
We present a theory of spin waves in a non-condensed gas of spin-1 bosons: providing both analytic calculations of the linear theory, and full numerical simulations of the nonlinear response. We...
Many-body physics in the radio frequency spectrum of lattice bosons (2009)
Hazzard, Kaden R. A., Mueller, Erich J.
We calculate the radio-frequency spectrum of a trapped cloud of cold bosonic atoms in an optical lattice. Using random phase and local density approximations we produce both trap averaged and...
Absence of Pressure-Driven Supersolid Flow at Low Frequency (2009)
Rittner, Ann Sophie C., Choi, Wonsuk, Mueller, Erich J., Reppy, John D.
An important unresolved question in supersolid research is the degree to which the non-classical rotational inertia (NCRI) phenomenon observed in the torsional oscillator experiments of Kim and Chan,...
FFLO vs Bose-Fermi mixture in polarized 1D Fermi gas on a Feshbach resonance: a 3-body study (2009)
Baur, Stefan K., Shumway, John, Mueller, Erich J.
We study the three-fermion problem within a 1D model of a Feshbach resonance in order to gain insight into how the FFLO-like state at small negative scattering lengths evolves into a Bose-Fermi...
On-site correlations in optical lattices: band mixing to coupled quantum Hall puddles (2009)
Hazzard, Kaden R. A., Mueller, Erich J.
We extend the standard Bose-Hubbard model to capture arbitrarily strong on-site correlations. In addition to being important for quantitatively modeling experiments, for example, with Rubidium atoms,...
Anomalous Spin segregation in a weakly interacting two-component Fermi gas (2009)
Natu, Stefan S., Mueller, Erich J.
We explain the spin segregation seen at Duke in a two-component gas of 6Li [Du, Luo, Clancy and Thomas, Phys. Rev. Lett. 101,150401 (2008)] as a mean-field effect describable via a collisionless...
Theory of the Normal/Superfluid interface in population imbalanced Fermi gases (2009)
Baur, Stefan K., Basu, Sourish, De Silva, Theja N., Mueller, Erich J.
We present a series of theoretical studies of the boundary between a superfluid and normal region in a partially polarized gas of strongly interacting fermions. We present mean-field estimates of the...
Goldbaum, Daniel S., Mueller, Erich J.
We present a theoretical study of vortices within a harmonically trapped Bose-Einstein condensate in a rotating optical lattice. Due to the competition between vortex-vortex interactions and pinning...
Vortices near the Mott phase of a trapped Bose-Einstein condensate (2008)
Goldbaum, Daniel S., Mueller, Erich J.
We present a theoretical study of vortices within a harmonically trapped Bose-Einstein condensate in a rotating optical lattice. We find that proximity to the Mott insulating state dramatically...
Goldbaum, Daniel S., Mueller, Erich J.
Quantized vortices stunningly illustrate the coherent nature of a superfluid Bose condensate of alkali atoms. Introducing an optical lattice depletes this coherence. Consequently, novel vortex...
Casula, Michele, Ceperley, D. M., Mueller, Erich J.
Using exact continuous quantum Monte Carlo techniques, we study the zero and finite temperature properties of a system of harmonically trapped one dimensional spin 1/2 fermions with short range...
Stirring trapped atoms into fractional quantum Hall puddles (2008)
Baur, Stefan K., Hazzard, Kaden R. A., Mueller, Erich J.
We theoretically explore the generation of few-body analogs of fractional quantum Hall states. We consider an array of identical few-atom clusters (n=2,3,4), each cluster trapped at the node of an...
Explanation of 100-fold reduction of spectral shifts for hydrogen on helium films (2008)
Hazzard, Kaden R. A., Mueller, Erich J.
We show that helium film-mediated hydrogen-hydrogen interactions account for a two orders of magnitude discrepancy between previous theory and recent experiments on cold collision shifts in...
Elastic theory of Normal-Superfluid Boundary in trapped Fermi Gases (2008)
Natu, Stefan S., Mueller, Erich J.
By modeling the normal-superfluid boundary in a trapped polarized Fermi gas as an elastic membrane, we calculate the atomic density profile. For small trapping anisotropy, we find that the...
Final-state effects in the radio frequency spectrum of strongly interacting fermions (2007)
Basu, Sourish, Mueller, Erich J.
We model the impact of final state interactions on the radio frequency spectrum of a strongly interacting two-component superfluid Fermi gas. In addition to a broad asymmetric peak coming from the...
Generic features of the spectrum of trapped polarized fermions (2007)
We show that bimodal radio frequency spectra universally arise at intermediate temperatures in models of strongly interacting trapped Fermi gases. The bimodality is independent of superfluidity or...
Vortex lattices of bosons in deep rotating optical lattices (2007)
Goldbaum, Daniel S., Mueller, Erich J.
We study vortex-lattice phases for a Bose gas trapped in a rotating optical-lattice near the superfluid--Mott-insulator transition. We find a series of abrupt structural phase transitions where...
Quasi-one-dimensional polarized Fermi superfluids (2007)
Parish, Meera M., Baur, Stefan K., Mueller, Erich J., Huse, David A.
We calculate the zero temperature phase diagram of a polarized two-component Fermi gas in an array of weakly-coupled parallel one-dimensional (1D) 'tubes' produced by a two-dimensional optical...
Hyperfine spectra of trapped Bosons in optical lattices (2007)
Hazzard, Kaden R. A., Mueller, Erich J.
We calculate the interaction induced inhomogeneous broadening of spectral lines in a trapped Bose gas as a function of the depth of a three-dimensional cubic optical lattice. As observed in recent...
Single particle spectrum of resonant population imbalanced Fermi gases (2007)
Fumarola, Francesco, Mueller, Erich J.
We use a T-matrix approximation to calculate the single particle spectrum of the normal state of a gas of Fermionic atoms at low temperature. In the strongly interacting regime of the polarized gas,...
Collective modes as a probe of the equation of state for partially polarized Fermi gases (2006)
De Silva, Theja N., Mueller, Erich J.
We calculate the collective modes of a partially polarized Fermi gas trapped in a spherically symmetric harmonic potential. We show that the breathing mode frequency exhibits non-monotonic dependence...
Fragmentation of Bose-Einstein Condensates (2006)
Mueller, Erich J., Ho, Tin-Lun, Ueda, Masahito, Baym, Gordon
We present the theory of bosonic systems with multiple condensates, unifying disparate models which are found in the literature, and discuss how degeneracies, interactions, and symmetries conspire to...
Surface Tension in Unitary Fermi Gases with Population Imbalance (2006)
De Silva, Theja N., Mueller, Erich J.
We study the effects of surface tension between normal and superfluid regions of a trapped Fermi gas at unitarity. We find that surface tension causes notable distortions in the shape of large aspect...
Profiles of near-resonant population-imbalanced trapped Fermi gases (2006)
De Silva, Theja N., Mueller, Erich J.
We investigate the density profiles of a partially polarized trapped Fermi gas in the BCS-BEC crossover region using mean field theory within the local density approximation. Within this...
Collective oscillations of a Fermi gas near a Feshbach resonance (2005)
De Silva, Theja N., Mueller, Erich J.
A sum rule approach is used to calculate the zero temperature oscillation frequencies of a two component trapped atomic Fermi gas in the BCS-Bose Einstein condensation crossover region. These sum...
Stability of Bosonic atomic and molecular condensates near a Feshbach resonance (2005)
Basu, Sourish, Mueller, Erich J.
We explore the Bose condensed phases of an atomic gas on the molecular side of a Feshbach resonance. In the absence of atom-molecule and molecule-molecule scattering, we show that the atomic...
Wigner Crystallization in inhomogeneous one dimensional wires (2004)
We explore the theory of electrons confined by one dimensional power law potentials. We calculate the density profile in the high density electron gas, the low density Wigner crystal, and the...
Density profile of a harmonically trapped ideal Fermi gas in arbitrary dimension (2004)
Closed form analytic expressions are derived for the density profile of a harmonically trapped noninteracting Fermi gas in $d$ dimensions. Shell structure effects are included to leading order in...
Artificial electromagnetism for neutral atoms: Escher staircase and Laughlin liquids (2004)
We show how lasers may create fields which couple to neutral atoms in the same way that the electromagnetic fields couple to charged particles. These fields are needed for using neutral atoms as an...
Renormalization Group Limit Cycles in Quantum Mechanical Problems (2004)
Mueller, Erich J., Ho, Tin-Lun
We formulate a renormalization group (RG) for the interaction parameters of the general two-body problem and show how a limit cycle emerges in the RG flow if the interaction approaches an inverse...
Imaging of spinor gases (2003)
Carusotto, Iacopo, Mueller, Erich J.
We explore the dielectric properties of spinor condensates. Gases with vector (nematic) order, such as spin-1 condensates with ferromagnetic (antiferromagnetic) interactions, display optical activity...
Spin textures in slowly rotating Bose-Einstein Condensates (2003)
Slowly rotating spin-1 Bose-Einstein condensates are studied through a variational approach based upon lowest Landau level calculus. The author finds that in a gas with ferromagnetic interactions,...
High temperature expansion applied to fermions near Feshbach resonance (2003)
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...
Stripe Formation in Bose-Einstein Condensates with Large Numbers of Vortices (2002)
Mueller, Erich J., Ho, Tin-Lun
We analyze recent experiments at JILA which observe periodic formation of stripes in a rotating Bose condensate [Engels et al. Phys. Rev. Lett. {\bf 89}, 100403 (2002)], and explain this behavior as...
Superfluidity and Swallowtails; Hysteretic Behavior in Bose Condensates (2002)
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...
"Fermionization" of Rotating Spin-1 Bose Clusters (2002)
We propose a simple scheme of generating rotating atomic clusters in an optical lattices which produces states with quantum Hall and spin liquid properties. As the rotation frequencies increases, the...
Two-component Bose-Einstein Condensates with Large Number of Vortices (2002)
Mueller, Erich J., Ho, Tin-Lun
We consider the condensate wavefunction of a rapidly rotating two-component Bose gas with an equal number of particles in each component. If the interactions between like and unlike species are very...
Mueller, Erich J., Baym, Gordon, Holzmann, Markus
We study the Bose-Einstein condensation phase transition in a weakly interacting gas through a perturbative analysis of finite systems. In both the grand canonical and the canonical ensembles,...
Finite Temperature Collapse of a Bose Gas with Attractive Interactions (extended version) (2000)
Mueller, Erich J., Baym, Gordon
We study the mechanical stability of the weakly interacting Bose gas with attractive interactions, and construct a unified picture of the collapse valid from the low temperature condensed regime to...
Finite Temperature Collapse of a Bose Gas with Attractive Interactions (1999)
Mueller, Erich J., Baym, Gordon
We study the mechanical stability of the weakly interacting Bose gas with attractive interactions, and construct a unified picture of the collapse valid from the low temperature condensed region to...
Mueller, Erich J., Goldbart, Paul M., Lyanda-Geller, Yuli
The ability to support metastable current-carrying states in multiply-connected settings is one of the prime signatures of superfluidity. Such states are investigated theoretically for the case of...