The Spatial Constraint Requiring Organogenetic Termination: Supplemental to Haeckel and von Baer for Development and Evolution

In this article, it is pointed out that the requirement for organogenetic termination is the new spatial constraint for animal development and heredity, based on that: (a) organogenesis manifests limitation in time and possession of termination, while infinite cell proliferation known as cancer is lethal; (b) the notable indeterminate growth in some fishes and a few outgrowing skin derivatives reversely demonstrates that termination is required for organogenesis inside the animal. In further, it is supplemented this new spatial constraint to Haeckel and von Baer for development and evolution. While not influencing the temporal and spatial reorganization of morphogenesis during evolution, it places restrictions on alteration of organogenetic mechanisms themselves, as that: (a) addition of new induction mechanism or elimination of termination mechanism would usually cause endless organogenesis, liable to become lethal; (b) addition of new termination mechanism or elimination of induction mechanism in evolution not be affected by this spatial constraint. Finally, it is identified this spatial constraint as partial convergence and partial difference with Haeckel’s recapitulation, and as restriction onto Baer’s tree. It is perspectives to use the method of mathematical probability and statistics to study the spatial constraint of development onto evolution in future.&nbsp

Stable Fulde-Ferrell-Larkin-Ovchinnikov pairing states in 2D and 3D optical lattices

We present the study of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) pairing states in the $p$-orbital bands in both two and three-dimensional optical lattices. Due to the quasi one-dimensional band structure which arises from the unidirectional hopping of the orthogonal $p$-orbitals, the pairing phase space is not affected by spin imbalance. Furthermore, interactions build up high dimensional phase coherence which stabilizes the FFLO states in 2D and 3D optical lattices in a large parameter regime in phase diagram. These FFLO phases are stable with imposing the inhomogeneous trapping potential. Their entropies are comparable to those of the normal states at finite temperatures.Comment: 5 page

Interaction-induced anomalous transport behavior in one dimensional optical lattice

The non-equilibrium dynamics of spin impurity atoms in a strongly interacting one-dimensional (1D) Bose gas under the gravity field is studied. We show that due to the non-equilibrium preparation of the initial state as well as the interaction between the impurity atoms and other bosons, a counterintuitive phenomenon may emerge: the impurity atoms could propagate upwards automatically in the gravity field . The effects of the strength of interaction, the gradient of the gravity field, as well as the different configurations of the initial state are investigated by studying the time-dependent evolution of the 1D strongly interacting bosonic system using time-evolving block decimation (TEBD) method. A profound connection between this counterintuitive phenomenon and the repulsive bound pair is also revealed.Comment: 4.1 page

Dissipative Effects on the Superfluid to Insulator Transition in Mixed-dimensional Optical Lattices

We study the superfluid to Mott insulator transition of a mixture of heavy bosons and light fermions loaded in an optical lattice. We focus on the effect of the light fermions on the dynamics of the heavy bosons. It is shown that, when the lattice potential is sufficiently deep to confine the bosons to one dimension but allowing the fermions to freely move in three dimensions (i.e. a mixed-dimensionality lattice), the fermions act as an ohmic bath for bosons leading to screening and dissipation effects on the bosons. Using a perturbative renormalization-group analysis, it is shown that the fermion-induced dissipative effects have no appreciable impact on the transition from the superfluid to the Mott-insulator state at integer filling. On the other hand, dissipative effects are found to be very important in the half-filled case near the critical point. In this case, in the presence of a finite incommensurability that destabilizes the Mott phase, the bosons can still be localized by virtue of dissipative effects.Comment: 10 pages, 8 figure