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We use the Renormalization Group method to study the Bose-Einstein condensation of the interacting dilute magnons which appears in three dimensional spin systems in magnetic field. The obtained temperature dependence of the critical field…

Superconductivity · Physics 2007-05-23 M. Crisan , D. Bodea , I. Tifrea , I. Grosu

We consider a massive relativistic Bose gas with $N$ complex scalars at finite density. At zero temperature, we calculate the pressure, charge density and the speed of sound in the one-loop approximation. In the nonrelativistic limit, we…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jens O. Andersen

Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a…

Statistical Mechanics · Physics 2015-05-13 Z. Idziaszek , L. Zawitkowski , M. Gajda , K. Rzazewski

We propose a new form of the inversion method in terms of a selfenergy expansion to access the phase diagram of the Bose-Einstein transition. The dependence of the critical temperature on the interaction parameter is calculated. This is…

Statistical Mechanics · Physics 2009-11-13 K. Morawetz , M. Maennel , M. Schreiber

In this paper, I present a precise Quantum Monte Carlo calculation at finite temperature for a very large number (many thousands) of bosons in a harmonic trap, which may be anisotropic. The calculation applies directly to the recent…

Statistical Mechanics · Physics 2009-10-28 Werner Krauth

We calculate the number and energy densities of a quasi-2D Bose-Einstein gas constrained within a thin region of infinite extent but of finite width d. The BEC critical transition temperature then becomes an explicit function of d. We use…

Superconductivity · Physics 2009-12-09 C. Villarreal , M. de Llano

The transition temperature for a dilute, homogeneous, three-dimensional Bose gas has the expansion T_c = T_0 {1 + c_1 a n^(1/3) + [c_2' ln(a n^(1/3)) + c_2''] a^2 n^(2/3) + O(a^3 n)}, where a is the scattering length, n the number density,…

Statistical Mechanics · Physics 2010-02-16 Peter Arnold , Guy D. Moore , Boris Tomasik

We present some numerical results for the Heisenberg spin-glass model with Gaussian interactions, in a three dimensional cubic lattice. We measure the AC susceptibility as a function of temperature and determine an apparent finite…

Other Condensed Matter · Physics 2009-11-10 Marco Picco , Felix Ritort

Bose-Einstein condensation (BEC) of an ideal gas is investigated, beyond the thermodynamic limit, for a finite number $N$ of particles trapped in a generic three-dimensional power-law potential. We derive an analytical expression for the…

Quantum Gases · Physics 2019-04-04 Amine Jaouadi , Mourad Telmini , Eric Charron

We investigate theoretically Bose-Einstein condensation of an ideal, trapped Bose gas in the presence of Rashba spin-orbit coupling. Analytic results for the critical temperature and condensate fraction are derived, based on a…

Quantum Gases · Physics 2012-01-30 Hui Hu , Xia-Ji Liu

A new treatment of the critical point of the two-dimensional interacting Bose gas is presented. In the lowest order approximation we obtain the critical temperature T_c ~ 2 \pi n/[ m \log (2\pi/mg)], where n is the density, m the mass, and…

Mathematical Physics · Physics 2015-05-13 Pye-Ton How , Andre' LeClair

A careful Monte Carlo investigation of the phase transition very close to the critical point (T -> Tc, H -> 0) in relatively large d = 3, s = 1/2 Ising lattices did produce critical exponents beta = 0.3126(4) =~ 5/16, delta^{-1} = 0.1997(4)…

Statistical Mechanics · Physics 2007-05-23 Jorge Garcia , Julio A. Gonzalo , Manuel I. Marques

Using the tensor renormalization group method based on the higher-order singular value decomposition,we have studied the phase transitions of the five-state clock model on the square lattice.The temperature dependence of the specific heat…

Strongly Correlated Electrons · Physics 2022-10-18 Y. Chen , Z. Y. Xie , J. F. Yu

The dynamics of quantized vortices in rotating $^3$He-B is investigated in the low density (single-vortex) regime as a function of temperature. An abrupt transition is observed at $0.5 T_{\rm c}$. Above this temperature the number of vortex…

Soft Condensed Matter · Physics 2007-05-23 A. P. Finne , V. B. Eltsov , G. Eska , R. Hanninen , J. Kopu , M. Krusius , E. V. Thuneberg , M. Tsubota

The spectrum of the reduced density matrix and the temperature dependence of the von Neumann entropy (VNE) are analytically obtained for a system of hard core bosons on a complete graph which exhibits a phase transition to a Bose-Einstein…

Quantum Physics · Physics 2011-07-13 Vladislav Popkov , Mario Salerno

The critical BEC temperature $T_{c}$ of a non interacting boson gas in a layered structure like those of cuprate superconductors is shown to have a minimum $T_{c,m}$, at a characteristic separation between planes $a_{m}$. It is shown that…

Quantum Gases · Physics 2015-05-14 P. Salas , M. Fortes , M. de Llano , F. J. Sevilla , M. A. Solis

We investigate the low-temperature properties of the spin-1 antiferromagnetic Heisenberg chain with bond-alternation by the quantum Monte Carlo method (loop algorithm). The strength of bond-alternation at the gapless point is estimated as…

Statistical Mechanics · Physics 2009-10-30 Masanori Kohno , Minoru Takahashi , Masayuki Hagiwara

We have observed a Bose-Einstein Condensate in a dilute gas of $^4$He in the $2^3S_1$ metastable state. We find a critical temperature of $(4.7\pm0.5) \mu$K and a typical number of atoms at the threshold of $8\times10^6$. The maximum number…

By improving the Bose-Einstein condensate model of dark matter through the repulsive three-particle interaction to better reproduce observables such as rotation curves, both different thermodynamic phases and few-particle correlations are…

Astrophysics of Galaxies · Physics 2022-11-22 A. M. Gavrilik , A. V. Nazarenko

We present measurements of the critical velocity for vortex shedding in a highly oblate Bose-Einstein condensate with a moving repulsive Gaussian laser beam. As a function of the barrier height $V_0$, the critical velocity $v_c$ shows a dip…

Quantum Gases · Physics 2015-09-10 Woo Jin Kwon , Geol Moon , Sang Won Seo , Yong-il Shin
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