Prospect of creating a composite Fermi–Bose superfluid

Timmermans, Eddy; Furuya, K.; Milonni, Peter W.; Kerman, A.K.

doi:10.1016/s0375-9601(01)00346-2

Cited by 335 publications

(346 citation statements)

References 18 publications

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“…2 the MSF-ASF transition takes place at a critical value of detuning ν c (T, n) determined by the strength of atomic and molecular interactions, shifting it away from its noninteracting value of 0. At zero temperature this is a continuous quantum phase transition that for a d-dimensional system is in the (d+1)-dimensional classical Ising universality class 49,50,51 with 10) where g 1 , g 12 , and g 2 are, respectively, the atomatom, atom-molecule and molecule-molecule interaction strengths, related in the standard way to the corresponding scattering lengths, 15 and α is the Feshbach resonance coupling. The transition at ν c is characterized, upon approach from the MSF side, by the vanishing of the singleatom excitation gap E gap MSF (ν), and, upon approach from the ASF side, by the disappearance of the atomic condensate n 10 (ν).…”

Section: B Summary Of Resultsmentioning

confidence: 99%

Superfluidity and phase transitions in a resonant Bose gas

2008

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The atomic Bose gas is studied across a Feshbach resonance, mapping out its phase diagram, and computing its thermodynamics and excitation spectra. It is shown that such a degenerate gas admits two distinct atomic and molecular superfluid phases, with the latter distinguished by the absence of atomic off-diagonal long-range order, gapped atomic excitations, and deconfined atomic π-vortices. The properties of the molecular superfluid are explored, and it is shown that across a Feshbach resonance it undergoes a quantum Ising transition to the atomic superfluid, where both atoms and molecules are condensed. In addition to its distinct thermodynamic signatures and deconfined half-vortices, in a trap a molecular superfluid should be identifiable by the absence of an atomic condensate peak and the presence of a molecular one.

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Section: B Summary Of Resultsmentioning

confidence: 99%

Superfluidity and phase transitions in a resonant Bose gas

2008

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“…Later work on the equilibrium polariton condensate in models of the basic form (1) includes generalisations to include propagating photons [16,17], decoherence [14], and more realistic approaches to disorder [15,19]. The same theoretical framework has also been applied to condensation in atomic gases of fermions [33,34].…”

Section: Background and Basic Modelmentioning

confidence: 99%

The new physics of non-equilibrium condensates: insights from classical dynamics

Eastham¹

2007

J. Phys.: Condens. Matter

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Abstract. We discuss the dynamics of classical Dicke-type models, aiming to clarify the mechanisms by which coherent states could develop in potentially non-equilibrium systems such as semiconductor microcavities.We present simulations of an undamped model which show spontaneous coherent states with persistent oscillations in the magnitude of the order parameter. These states are generalisations of superradiant ringing to the case of inhomogeneous broadening. They correspond to the persistent gap oscillations proposed in fermionic atomic condensates, and arise from a variety of initial conditions. We show that introducing randomness into the couplings can suppress the oscillations, leading to a limiting dynamics with a time-independent order parameter. This demonstrates that non-equilibrium generalisations of polariton condensates can be created even without dissipation. We explain the dynamical origins of the coherence in terms of instabilities of the normal state, and consider how it can additionally develop through scattering and dissipation.

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“…In Refs. [32]- [34], BCS transition temperatures T BCS are predicted in the range from T BCS /T F = 0.025 to T BCS /T F = 0.4, but it is an open question if these conditions can be reached experimentally.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…This gives algebraic equations for s 0 D ( x, t p ) which can be applied in the correlation functions of the nonlinear sigma model with matrix T (32) following in section 3. Using the parametrization into block diagonal densities s D for the Fermi sea and anomalous terms, the determinant in (34) has to be expanded with respect to the gradients contained in H [5]- [7].…”

Section: Hubbard-stratonovich Transformation and Self-energymentioning

confidence: 99%

Nonlinear sigma model for a condensate composed of fermionic atoms

Mieck

2005

Physica A: Statistical Mechanics and its Applications

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A nonlinear sigma model is derived for the time development of a Bose-Einstein condensate composed of fermionic atoms. Spontaneous symmetry breaking of a Sp(2) symmetry in a coherent state path integral with anticommuting fields yields Goldstone bosons in a Sp(2)\U (2) coset space. After a Hubbard-Stratonovich transformation from the anticommuting fields to a local self-energy matrix with anomalous terms, the assumed short-ranged attractive interaction reduces this symmetry to a SO(4)\U (2) coset space with only one complex Goldstone field for the singlett pairs of fermions. This bosonic field for the anomalous term of fermions is separated in a gradient expansion from the density terms. The U (2) invariant density terms are considered as a background field or unchanged interacting Fermi sea in the spontaneous symmetry breaking of the SO(4) invariant action and appear as coefficients of correlation functions in the nonlinear sigma model for the Goldstone boson. The time development of the condensate composed of fermionic atoms results in a modified Sine-Gordon equation.

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Prospect of creating a composite Fermi–Bose superfluid

Cited by 335 publications

References 18 publications

Superfluidity and phase transitions in a resonant Bose gas

Superfluidity and phase transitions in a resonant Bose gas

The new physics of non-equilibrium condensates: insights from classical dynamics

Nonlinear sigma model for a condensate composed of fermionic atoms

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