ChemInform Abstract: Synthesis of Compounds Pb2M(III)M(V)O6 in a Mixed NaCl/KCl melt.

Lopatin, S.S.; Лупейко, Т. Г.; Ivleva, T. I.; Lukov, V. V.; Derbaremdiker, L. A.

doi:10.1002/chin.198728037

ChemInform

1987

DOI: 10.1002/chin.198728037

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ChemInform Abstract: Synthesis of Compounds Pb2M(III)M(V)O6 in a Mixed NaCl/KCl melt.

S.S. Lopatin

Т. Г. Лупейко

T. I. Ivleva

et al.

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“…More recently, the problem of Bose systems with disorder has also been addressed in the continuum. On the one hand, the dilute Bose gas with disorder has been studied within the Bogoliubov model [4][5][6]. On the other, Path Integral Monte-Carlo (PIMC) techniques have been applied to the study of the elementary excitations in liquid 4 He [7] and the transition temperature of a hard-sphere Bose gas [8], in the presence of randomly distributed static impurities.…”

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Superfluidity versus Bose-Einstein condensation in a Bose gas with disorder

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We investigate the phenomenon of Bose-Einstein condensation and superfluidity in a Bose gas at zero temperature with disorder. By using the Diffusion Monte-Carlo method we calculate the superfluid and the condensate fraction of the system as a function of density and strength of disorder. In the regime of weak disorder we find agreement with the analytical results obtained within the Bogoliubov model. For strong disorder the system enters an unusual regime where the superfluid fraction is smaller than the condensate fraction.PACS numbers: 03.75.Fi, 05.30.Fk, 67.40.Db The study of disordered Bose systems has attracted in the recent past considerable attention both theoretically and experimentally. The problem of boson localization, the superfluid-insulator transition and the nature of elementary excitations in the presence of disorder have been the object of several theoretical investigations [1] and Monte-Carlo numerical simulations [2,3], both based on Hubbard or equivalent models on a lattice. More recently, the problem of Bose systems with disorder has also been addressed in the continuum. On the one hand, the dilute Bose gas with disorder has been studied within the Bogoliubov model [4][5][6]. On the other, Path Integral Monte-Carlo (PIMC) techniques have been applied to the study of the elementary excitations in liquid 4 He [7] and the transition temperature of a hard-sphere Bose gas [8], in the presence of randomly distributed static impurities. Disordered Bose systems are produced experimentally in liquid 4 He adsorbed in porous media, such as Vycor or silica gels (aerogel, xerogel). The suppression of superfluidity and the critical behavior at the phase transition have been investigated in these systems in a classic series of experiments [9], and the elementary excitations of liquid 4 He in Vycor have been recently studied using neutron inelastic scattering [10]. Furthermore, the recent achievement of Bose-Einstein condensation (BEC) in alkali vapours has sparked an even larger interest in the physics of degenerate Bose gases and their macroscopic quantum properties, such as long-range order and superfluid behavior (for a review see [11]).In this Letter we investigate the effects of disorder on BEC and superfluidity in a Bose gas at zero temperature. As a model for disorder a uniform random distribution of static impurities is assumed. This choice provides us with a reasonable model for 4 He adsorbed in porous media and might also be relevant for trapped Bose condensates in the presence of heavy impurities. In addition, the quenched-impurity model allows us to derive analytical results in the weak-disorder regime and can be implemented in a quantum Monte Carlo simulation.The present work is divided in two parts. In the first part, following the analysis of Ref.[4], the properties of the system are investigated within the Bogoliubov approximation. Results for the effects of disorder on the ground-state energy, superfluid density and condensate fraction are discussed. In the second part, we resort to the...

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“…Notice that the model of δ-correlated disorder of Refs. [4][5][6] does not allow the calculation of the ground-state energy, since the renormalization of g imp is a crucial step.…”

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Superfluidity versus Bose-Einstein condensation in a Bose gas with disorder

et al. 2002

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ChemInform Abstract: Synthesis of Compounds Pb2M(III)M(V)O6 in a Mixed NaCl/KCl melt.

Cited by 1 publication

References 0 publications

Superfluidity versus Bose-Einstein condensation in a Bose gas with disorder

Superfluidity versus Bose-Einstein condensation in a Bose gas with disorder

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