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Názov T-c for homogeneous dilute Bose gases Podnázov a second-order result Aut.údaje Peter Arnold, Guy Moore, Boris Tomášik Autor Arnold Peter (34%)
Spoluautori Moore Guy (33%)
Tomášik Boris 1972- (33%) UMBFP06 - Katedra fyziky
Zdroj.dok. Physical Review A : covering atomic, molecular, and optical physics and quantum information. 013606. - Maryland : American Physical Society, 2002 Kľúč.slová condensation fyzika - physics Jazyk dok. angličtina Krajina Spojené štáty Systematika 53 Anotácia The transition temperature for a dilute, homogeneous, three-dimensional Bose gas has the expansion T-c = T-0{1 + c(1)an(1/3) + [c(2)' 1n(an(1/3)) + c(2)"]a(2)n(2/3) + O(a(3)n)}, where a is the scattering length, n the number density, and T-0 the ideal gas result. The first-order coefficient c(1) depends on nonperturbative physics. In this paper, we show that the coefficient c(2)' may be computed perturbatively. We also show that the remaining second-order coefficient c(2)" depends on non-perturbative physics but may be related, by a perturbative calculation, to quantities that have previously been measured using lattice simulations of three-dimensional O(2) scalar field theory. Making use of those simulation results, we find T(c)similar or equal toT(0){1 + (1.32+/-0.02) an(1/3) + [19.7518 1n(an(1/3)) + (75.7+/-0.4)]a(2)n(2/3) + O(a(3)n)}. URL Link do databázy WoS Kategória publikačnej činnosti ADC Číslo archívnej kópie 40174 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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Názov T-c for trapped dilute Bose gases Podnázov a second-order result Aut.údaje Peter Arnold, Boris Tomášik Autor Arnold Peter (50%)
Spoluautori Tomášik Boris 1972- (50%) UMBFP06 - Katedra fyziky
Zdroj.dok. Physical Review A : covering atomic, molecular, and optical physics and quantum information. Vol. 64, no. 5 (2001), pp. [1-21]. - Maryland : American Physical Society, 2001 Kľúč.slová condensation fyzika - physics Jazyk dok. angličtina Krajina Spojené štáty Systematika 53 Anotácia For some time, the theoretical result for the transition temperature of a dilute three-dimensional Bose gas in an arbitrarily wide harmonic trap has been known to first order in the interaction strength. We extend that result to second order. The first-order result for a gas trapped in a harmonic potential can be computed in mean-field theory (in contrast to the first-order result for a uniform gas, which cannot). We show that, at second order, perturbation theory suffices for relating the transition temperature to the chemical potential at the transition, but the chemical potential is nonperturbative at the desired order. The necessary information about the chemical potential can be extracted, however, from recent lattice simulations of uniform Bose gases. URL Link do databázy WoS Kategória publikačnej činnosti ADC Číslo archívnej kópie 40175 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika nerozpoznaný
Názov Tc for dilute Bose gases: beyond leading order in 1/N Aut.údaje Peter Arnold, Boris Tomášik Autor Arnold Peter (50%)
Spoluautori Tomášik Boris 1972- (50%)
Zdroj.dok. Physical Review A : covering atomic, molecular, and optical physics and quantum information. Vol. 62, no. 6 (2000), pp. [1-12]. - Maryland : American Physical Society, 2000 Kľúč.slová quantum field theory fyzika - physics Jazyk dok. angličtina Krajina Spojené štáty Systematika 53 Anotácia Baym, Blaizot, and Zinn-Justin have recently used the large-N approximation to calculate the effect of interactions on the transition temperature of dilute Bose gases. We extend their calculation to next-to-leading order in 1/N and find a relatively small correction of26% to the leading order result. This suggests that the large-N approximation works surprisingly well in this application. URL Link do databázy WoS Kategória publikačnej činnosti ADC Číslo archívnej kópie 913 Kategória ohlasu BALA, Renu - SRIVASTAVA, Sunita - PATHAK, Kare Narain. Particle density and transition temperature of weakly interacting quantum gases. In European physical journal B. ISSN 1434-6028, 2015, vol. 88, no. 10.
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