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    Nonequilibrium quench dynamics of hard-core bosons in quasiperiodic lattices
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    A spin-wave (SW) approach for hard-core bosons is presented to treat the problem of two dimensional boson localization in a random potential. After a short review of the method to compute 1/S-corrected observables, the case of random on-site energy is discussed. Whereas the mean-field solution does not display a Bose glass (BG) phase, 1/S corrections do capture BG physics. In particular, the localization of SW excitations is discussed through the inverse participation ratio.
    Hard core
    Random phase approximation
    Citations (1)
    We consider weakly interacting bosons in a 1D quasiperiodic potential (Aubry-Azbel-Harper model) in the regime where all single-particle states are localized. We show that the interparticle interaction may lead to the many-body delocalization and we obtain the finite-temperature phase diagram. Counterintuitively, in a wide range of parameters the delocalization requires stronger coupling as the temperature increases. This means that the system of bosons can undergo a transition from a fluid to insulator (glass) state under heating.
    We study the phase diagram of a two-dimensional assembly of bosons interacting via a soft core repulsive pair potential of varying strength, and compare it to that of the equivalent system in which particles are regarded as distinguishable. We show that quantum-mechanical exchanges stabilize a "cluster crystal" phase in a wider region of parameter space than predicted by calculations in which exchanges are neglected. This physical effect is diametrically opposite to that which takes place in hard core Bose systems such as $^4$He, wherein exchanges strengthen the fluid phase. It is underlain in the cluster crystal phase of soft core bosons by the free energy gain associated to the formation of local Bose-Einstein condensates.
    Hard core
    Crystal (programming language)
    This session will discuss ways in which core directors can expand the impact of their core facility beyond the walls of their institution. Speakers will provide concrete examples and potential opportunities that illustrate how core directors can engage academic and industrial partnerships. Developing an entrepreneurial spirit in a core facility can enhance the facility's impact on research regionally and nationally.
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    Hard core
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    Phase diagrams of charged semi-hard-core bosons are studied in the mean field approximation. An increase in the parameter of local correlations is shown to lead to the transformation of the phase diagram of the system from the form characteristic of hard-core bosons to the limiting form with a parabolic dependence of the critical temperature of charge ordering on the boson concentration. The evolution between these limiting cases is dependent on the ratio between the model parameters and is accompanied by various effects, such as the change in the phase transition type, the appearance of new order-order transition, and the appearance of new critical points.
    Hard core
    Square lattice
    Limiting
    Lattice (music)
    Square (algebra)
    Mean field theory
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