Dark solitons in a one-dimensional condensate of hard core bosons

A mapping theorem leading to exact many-body dynamics of impenetrable bosons in one dimension reveals dark and gray solitonlike structures in a toroidal trap which is phase imprinted. On long time scales revivals appear that are beyond the usual mean-field theory.     

Noise correlations of fermions and hard core bosons in a quasi-periodic potential

We use Hanbury-Brown-Twiss interferometry (HBTI) to study various quantum phases of hard core bosons (HCBs) and ideal fermions confined in a one-dimensional quasi-periodic (QP) potential. For HCBs, the QP potential induces a cascade of Mott-like band-insulator phases in the extended regime, in addition to the Mott insulator, Bose glass, and superfluid phases. At critical filling factors, the appearance of these insulating phases is heralded by a peak to dip transition in the interferogram, which reflects the fermionic aspect of HCBs. On the other hand, ideal fermions in the extended phase display various complexities of incommensurate structures such as devil’s staircases and Arnold tongues. In the localized phase, the HCB and the fermion correlations are identical except for the sign of the peaks. Finally, we demonstrate that HBTI provides an effective method to distinguish Mott and glassy phases.     

Phase diagrams for hard disc mixtures

Phase diagrams for binary hard disc mixtures are predicted for diameter ratios between 0.15 and 1, using a new equation of state for the liquid based on recent calculations of the fifth virial coefficient, and a cell model for the solid. At diameter ratios close to 1, a substitutional solid solution is formed, and both azeotropic and eutectic phase behaviour are predicted. At smaller diameter ratios, a square sodium chloride lattice and a trigonal AB₂ lattice are observed.     

Phase transition in gas of hard core spheres

We present a new method of analyzing the gas of hard core spheres. We investigate analytic properties of the thermodynamic function over the circle of convergence of the cluster expansion and describe the way in which phase transition occurs.     

Phase separation of symmetrical polymer mixtures in thin-film geometry

Monte Carlo simulations of the bond fluctuation model of symmetrical polymer blends confined between two neutral repulsive walls are presented for chain lengthN _A=N _B=32 and a wide range of film thicknessD (fromD=8 toD=48 in units of the lattice spacing). The critical temperaturesT _c (D) of unmixing are located by finite-size scaling methods, and it is shown that , wherev ₃0.63 is the correlation length exponent of the three-dimensional Ising model universality class. Contrary to this result, it is argued that the critical behavior of the films is ruled by two-dimensional exponents, e.g., the coexistence curve (difference in volume fraction of A-rich and A-poor phases) scales as , where ₂ is the critical exponent of the two-dimensional Ising universality class ( ₂=1/8). Since for largeD this asymptotic critical behavior is confined to an extremely narrow vicinity ofT _c (D), one observes in practice effective exponents which gradually cross over from ₂ to ₃ with increasing film thickness. This anomalous flattening of the coexistence curve should be observable experimentally.     

Phase separation of highly dissymmetric binary ionic mixtures

We study the phase separation of binary ionic mixtures involving two species of classical point ions in a rigid uniform neutralizing background of degenerate electrons. The thermodynamic properties of the ionic fluid are calculated on the basis of the HNC integral equation for the three partial pair distribution functions. We develop a systematic technique which allows the properties of mixtures of arbitrary composition to be expressed in terms of infinitely dilute solutions. Phase diagrams and critical parameters are determined for 12 different binary systems involving ionic charge ratios between 2 and 8. The dependence of the critical temperature on the ionic charges, on the pressure and an ionic quantum corrections is examined in detail.     

Phase transition for a one-dimensional lattice gas with hard core

Existence of a phase transition is proved for a one-dimensional lattice gas with long-range interaction and nearest neighbor exclusion.     

Phase separation in mixtures of colloids and long ideal polymer coils

Colloidal suspensions with free polymer coils which are larger than the colloidal particles are considered. The polymer-colloid interaction is modeled by an extension of the Asakura-Oosawa model. Phase separation occurs into dilute and dense fluid phases of colloidal particles when polymer is added. The critical density of this transition tends to zero as the size of the polymer coils diverges.     

Phase separation of liquid binary mixtures containing metals under pressure

We have measured the pressure variations of the two-phase regions of liquid binary mixtures of metal with metal (LiNaandGaBi), metal with semiconductor (TlSe) and metal with salt (BiBiI₃andBiBiBr₃) up to 28 kbar. It was found that in the mixtures of LiNa and GaBi the two-phase regions enlarge at higher pressures, while in the mixtures of TlSe, BiBiI₃ and BiBiBr₃ the two-phase regions disappear at low pressures.     

Phase separation in strongly coupled binary ionic mixtures at zero temperature

The ground-state energy of strongly coupled binary ionic mixtures is evaluated by solving the hypernetted-chain (HNC) equations for the pair distribution functions. The point ions are immersed in a rigid and uniform neutralizing background of relativistic electrons. We have calculated the equation of state and the pair structure of these binary fluids for three concentrations and over a rather extensive range of densities. The miscibility essentially depends on the statistics of the species and on the coupling. We show that the phase separation is very sensitive to the choice of the wave function used to describe the mixture.     

Supersolids versus phase separation in two-dimensional lattice bosons

We study the nature of the ground state of the two-dimensional extended boson Hubbard model on a square lattice by quantum Monte Carlo methods. We demonstrate that strong but finite on-site interaction U along with a comparable nearest-neighbor repulsion V result in a thermodynamically stable supersolid ground state for densities larger than 1/2, in contrast to fillings less than 1/2 or for very large U, where the checkerboard supersolid is unstable towards phase separation. We discuss the relevance of our results to realizations of supersolids using cold bosonic atoms in optical lattices.     

Dilute Fermi gas in quasi-one-dimensional traps: from weakly interacting fermions via hard core bosons to a weakly interacting Bose gas

We study equilibrium properties of a cold two-component Fermi gas confined in a quasi-one-dimensional trap of the transverse size l(perpendicular). In the dilute limit (nl(perpendicular)<1, where n is the 1D density) the problem is exactly solvable for an arbitrary 3D fermionic scattering length aF. When l(perpendicular)/aF goes from -infinity to +infinity, the system successively passes three regimes: weakly interacting Fermi gas, hard core Bose gas, and weakly coupled Bose gas. The regimes are separated by two crossovers at aF approximately +/-nl2(perpendicular). In conclusion, we discuss experimental implications of these results.     

Phase separation and super diffusion of binary mixtures of active and passive particles

Computer simulations were performed to study the dense mixtures of passive particles and active particles in two dimensions. Two systems with different kinds of passive particles(e.g., spherical particles and rod-like particles) were considered. At small active forces, the high-density and low-density regions emerge in both systems, indicating a phase separation. At higher active forces, the systems return to a homogeneous state with large fluctuation of particle area in contrast with the thermo-equilibrium state. Structurally, the rod-like particles accumulate loosely due to the shape anisotropy compared with the spherical particles at the high-density region. Moreover, there exists a positive correlation between Voronoi area and velocity of the particles. Additionally, a small number of active particles capably give rise to super-diffusion of passive particles in both systems when the self-propelled force is turned on.     

Global and local condensate and superfluid fractions of a few hard core bosons in a combined harmonic optical cubic lattice in continuous space

We explore the global and local condensate and superfluid (SF) fractions in a system of a few hard core (HC) bosons (N = 8 and N = 40) trapped inside a combined harmonic optical cubic lattice (CHOCL) in continuous space at T = 0 K. The local condensate fraction (CF) is computed for individual lattice wells by separating the one-body density matrix (OBDM) of the whole system into components at the various lattice sites. Then each ??lattice-site?? component is diagonalized to find its eigenvalues. The eigenvalues are obtained by a method presented earlier [J.L. DuBois, H.R. Glyde, Phys. Rev. A 63, 023602 (2001)]. The effects of overlap between the condensates in the lattice wells on the CF in one well is also investigated. The SF fraction (SFF) is calculated for N = 40 only by using the diffusion formula of Pollock and Ceperley [Phys. Rev. B 36, 8343 (1987)]. Our chief result is an opposing behavior of the global and local CF and SFF with increasing lattice wave vector k. In addition, the CF in a lattice well is enhanced by the overlap with its neighbor wells beyond the result when the overlap is neglected. The global SF is depleted with a rise of the repulsion between the bosons, yet at very strong interaction superfluidity is still present. The global CF remains almost constant with increasing HC repulsion.     

Phase separation in mixtures of colloidal platelets and non-adsorbing polymer: a scaled particle treatment

Scaled particle theory is used to calculate the equation of state for and the free volume accessible to a non-adsorbing polymer, represented by spheres, in a system of colloidal platelets, represented by cut spheres. At low densities the predictions agree very well with computer simulations. For infinitely thin discs, the predictions agree with existing simulation data for the isotropic phase. The analytical results are used to predict the isotropic-isotropic phase boundary as a function of platelet aspect ratio and polymer/colloid size ratio.