# Nonuniversal effects in the homogeneous bose

Where a is nonuniversal (potential dependent) number this achieves a homogeneous triaxial state of deformation with respect to the reference state as noted in the introduction the study of strain effects on thermal conductivity has many applications from nanoscales to geophysical scales. Recent theoretical work has shown that radiation pressure effects can in principle cool a mechanical degree of freedom to its ground state universal and nonuniversal contributions to block-block entanglement in second order quantum phase transition of a homogeneous bose gas with attractive interactions authors: p zi\'n, b ole\'s, m. Ultracold atomic gases are emerging as a unique laboratory for testing quantum many-body hamiltonians a problem of fundamental importance is the ground state of two species of fermions interacting via repulsive interactions.

In particular nonuniversal effects of the energy density and condensate fraction will be explored the validity of the theoretical predictions obtained is verified by comparison to numerical data from the paper \begin{it}ground state of a homogeneous bose gas: a diffusion monte carlo calculation \end{it} by giorgini, boronat, and casulleras. Renormalization group theory of the three-dimensional dilute bose gas renormalization group equations and thus obtain also information on nonuniversal properties as a result, we can predict, for instance, the critical temperature of the gas and the superﬂuid and condensate density of the we treat here only the homogeneous bose gas. Low-dimensional weakly interacting bose gases: nonuniversal equations of state g e astrakharchik, 1j boronat, section ivc is devoted to the study of nonuniversal effects in the s-wave scattering problem and in the many-body equation of state in sec v, we discuss the possibility of experimental homogeneous, weakly-interacting bose.

The space homogeneous balance equation for l(t), proposed by vinen on the basis of dimensional and physical considerations, allows a number of competing forms for the production term p attempts to choose the correct one on the basis of time-dependent homogeneous experiments ended inconclusively. We also discuss nonuniversal effects these effects are higher-order corrections that depend on properties of the interatomic potential other than the scattering length, such as the effective range we critically examine various approaches to the dilute bose gas in equilibrium at finite temperature. The energy and structure of dilute hard- and soft-sphere bose gases are systematically studied in the giving rise to nonuniversal effects, become relevant when the density ~and the gas parameter increases, allowing for standing the properties of the underlying homogeneous gas of bosons at t50 temperature this is a time honored sub. To consider, so-called, nonuniversal effects , ie, the sensitivity to the parameters of the interatomic interactions other than the scattering length, we calculate e/n as a function of γ table 3 shows a strong γ dependence of e / n near the fr. Is the interaction energy per particle in the ground state of a sufﬁciently dilute homogeneous bose–einstein condensate: e/n eq (1) are both universal [2] nonuniversal effects, in the form of sensitivity to 3-body physics, appear ﬁrst in the order na3 correction [3.

A homogeneous bose gas in two dimensions undergoes bose–einstein condensation (bec) only at zero temperature, since long wavelength phase fluctuations destroy long range order (10 –13) nonetheless, interparticle interactions drive a phase transition to a superfluid state at finite temperature, as first pointed out by berezinskii (14, 15. Nonuniversal effects in the homogeneous bose gas transition temperature for weakly interacting homogeneous bose gases possible physical self-asserting of the homogeneous vector potential. Current experiments on atomic gases in highly anisotropic traps present the opportunity to study in detail the low temperature phases of two-dimensional inhomogeneous systems although, in an ideal gas, the trapping potential favors bose–einstein condensation at finite temperature, interactions. Author(s): volodymyr pastukhov we rigorously analyze the low-temperature properties of homogeneous three-dimensional two-component bose mixture with dipole-dipole interaction for such a system the effective hydrodynamic action that governs the behavior of low-energy excitations is derived. Abstract: effective field theory predicts that the leading nonuniversal effects in the homogeneous bose gas arise from the effective range for s-wave scattering and from an effective three-body contact interaction we calculate the leading nonuniversal contributions to the energy density and condensate fraction and compare the predictions with results from diffusion monte carlo calculations by.

We propose an exactly solvable method to study the coherent two-colour photoassociation of an atomic bose--einstein with nonuniversal exponent ω if the dimerization. The long-term limit of statistically stationary two-dimensional turbulence is shown to depend on the form of the large-scale forcing, in agreement with previous results that effect is studied systematically by continuously varying the forcing from deterministic to brownian in direct numerical simulations in doubly periodic boxes. Effects of breaking boost-invariance, net-baryon current, and its related diffusion on hadronic observables will be addressed finally, flow prediction for recent d+au collisions at the bes energies will be presented within the same framework. In this case, the nonuniversal behavior of s 2 now is τ 4 for small τ, whereas the universal behavior remains at τ 11/6 finally, with finite box effects, size matters if the spectrum is not continuous but quantized, then it is more difficult to satisfy the resonance condition. In such systems, beyond mf effects remain important even in the weakly interacting regime to first order, they lead to the lee-huang-yang (lhy) repulsive energy ( 5 ), comparable in strength with the residual mf attraction.

## Nonuniversal effects in the homogeneous bose

The leading-order effect of interactions on a homogeneous bose gas is theoretically predicted to shift the critical temperature by an amount deltat(c) approximately equal to ca(sc)n(1/3)t(0) from. Biography mikhail baranov is a senior researcher at the austrian academy of sciences in innsbruck he received his ms in theoretical physics in 1984 from the moscow institute of engineering and physics, russia, and his phd in physics and mathematics in 1987 at the same institute. Strongly correlated bose gases braaten e and nieto a 1999 quantum corrections to the energy density of a homogeneous bose gas eur phys j b 11 1961 on the three-body problem with short-range forces sov phys—jetp 13 3 braaten e, hammer h-w and hermans s 2001 nonuniversal effects in the homogeneous bose gas phys rev a 63 063609. Minimal conductivity of graphene: nonuniversal values from the kubo formula phys rev b, 2007, 75 (23): 233407 nitrogen doping effects on the structure of graphene.

The thermodynamic and superfluid properties of the dilute two-dimensional binary bose mixture at low temperatures are discussed we also considered the problem of the emergence of the long-range order in these systems all calculations are performed by means of the celebrated popov path-integral. Abstract the zero-temperature equation of state is analyzed in low-dimensional bosonic systems we propose to use the concept of energy-dependent s-wave scattering length for obtaining estimations of nonuniversal terms in the energy expansion. Nonuniversal effects in bose-einstein condensation in 1924 albert einstein predicted the existence of a special type of matter now known as bose-einstein condensation however, it was not until 1995 that simple bec (bose-einstein condensation) was observed in a low-density bosonic gas.

Quantum phase transitions (qpts) are marked by sudden drastic changes in the nature of the ground state on varying a parameter of the hamiltonian whereas for longer times, trapping effects dominate the dynamics (32, 33) the measured emergence of coherence observed here is, indeed, a generic feature of the homogeneous bose. Photogalvanic effects originating from the violation of the einstein relation in a 2d electron gas in high landau levels nonuniversal scaling at strong coupling physical review b 80, 045109 current correlations and quantum localization in a random or homogeneous magnetic field.