263 research outputs found
Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction
Quantum criticality of strongly attractive Fermi gas with symmetry in
one dimension is studied via the thermodynamic Bethe ansatz (TBA) equations.The
phase transitions driven by the chemical potential , effective magnetic
field , (chemical potential biases) are analyzed at the quantum
criticality. The phase diagram and critical fields are analytically determined
by the thermodynamic Bethe ansatz equations in zero temperature limit. High
accurate equations of state, scaling functions are also obtained analytically
for the strong interacting gases. The dynamic exponent and correlation
length exponent read off the universal scaling form. It turns out
that the quantum criticality of the three-component gases involves a sudden
change of density of states of one cluster state, two or three cluster states.
In general, this method can be adapted to deal with the quantum criticality of
multi-component Fermi gases with symmetry.Comment: 20 pages, 5 figures, submitted to J.Phys.A, revised versio
Ferromagnetic to antiferromagnetic transition of one-dimensional spinor Bose gases with spin-orbit coupling
We have analytically solved one-dimensional interacting two-component bosonic
gases with spin-orbit (SO) coupling by the Bethe-ansatz method. Through a gauge
transformation, the effect of SO coupling is incorporated into a spin-dependent
twisted boundary condition. Our result shows that the SO coupling can influence
the eigenenergy in a periodical pattern. The interplay between interaction and
SO coupling may induce the energy level crossing for the ground state, which
leads to a transition from the ferromagnetic to antiferromagnetic state.Comment: 6 pages, 4 figure
Exotic pairing in 1D spin-3/2 atomic gases with symmetry
Tuning interactions in the spin singlet and quintet channels of two colliding
atoms could change the symmetry of the one-dimensional spin-3/2 fermionic
systems of ultracold atoms while preserving the integrability. Here we find a
novel symmetry integrable point in thespin-3/2 Fermi gas and derive the
exact solution of the model using the Bethe ansatz. In contrast to the model
with and symmetries, the present model with symmetry
preserves spin singlet and quintet Cooper pairs in two sets of spin subspaces. We obtain full phase diagrams, including the
Fulde-Ferrel-Larkin-Ovchinnikov like pair correlations, spin excitations and
quantum criticality through the generalized Yang-Yang thermodynamic equations.
In particular, various correlation functions are calculated by using
finite-size corrections in the frame work of conformal field theory. Moreover,
within the local density approximation, we further find that spin singlet and
quintet pairs form subtle multiple shell structures in density profiles of the
trapped gas.Comment: 8 figures, 2 tables, 37 page
Exact solutions of an SO(5)-invariant spin-3/2 Fermi gas model
An exactly solvable model describing the dilute spin-3/2 fermion gas in
one-dimensional optical trap is proposed. The diagonalization of the model
Hamiltonian is derived by means of the Bethe ansatz method. Exotic spin
excitations such as the heavy spinon with fractional spin 3/2, the neutral
spinon with spin zero and the dressed spinon with spin 1/2 are found based on
the exact solution.Comment: 4 pages, 3 figures, Added reference
The Impacts Of Communication On IT Program External Environments And IT Product Quality
Multiple software development projects are often managed concurrently to deliver a complex software system. This approach of managing multiple development projects together to deliver an IT product is called program management. How can an IT product development program manage the interfaces with the internal and external environment successful leading to the program’s success? This study examined the best communication strategies adopted by an IT product development program for different interdependencies and uncertainty to drive the successful outcomes of product development. The framework provides a useful framework for program managers and researchers to strategically manage communication activities corresponding to different internal constraints and external uncertainties
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