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Heat fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external deterministic force are studied experimentally and theoretically within the context of Fluctuation Theorems. We consider…

Statistical Mechanics · Physics 2007-05-23 Sylvain Joubaud , Nicolas B. Garnier , Sergio Ciliberto

The hydrodynamic low-frequency oscillations of highly degenerate Fermi gases trapped in anisotropic harmonic potentials are investigated. Despite the lack of an obvious spatial symmetry the wave-equation turns out to be separable in…

Soft Condensed Matter · Physics 2009-10-31 András Csordás , Robert Graham

We consider a gas of neutral fermionic atoms at ultra-low temperatures, with the attractive interaction tuned to Feshbach resonance. We calculate, the variation of the chemical potential and the energy per particle as a function of…

Other Condensed Matter · Physics 2009-11-11 R. K. Bhaduri , M. V. N. Murthy , M. K. Srivastava

We investigate the particle and kinetic energy densities of harmonically trapped fermion gases at zero temperature in arbitrary dimensions. We derive analytically a differential equation connecting these densities, which so far have been…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Matthias Brack , M. V. N. Murthy

Using the complete numerical solution of a time-dependent three-dimensional mean-field model we study the Josephson oscillation of a superfluid Fermi gas (SFG) at zero temperature formed in a combined axially-symmetric harmonic plus…

Other Condensed Matter · Physics 2009-11-13 S. K. Adhikari

We optimize the classical field approximation of the version described in J. Phys. B 40, R1 (2007) for the oscillations of a Bose gas trapped in a harmonic potential at nonzero temperatures, as experimentally investigated by Jin et al.…

Quantum Gases · Physics 2010-03-31 Tomasz Karpiuk , Miroslaw Brewczyk , Mariusz Gajda , Kazimierz Rzazewski

We consider the possible mechanical instability of an ultracold Fermi gas due to the attractive interactions between fermions of different species. We investigate how the instability, predicted by a mean field calculation for an homogeneous…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 X. Leyronas , R. Combescot

We present a model which predicts the temperature of Bose-Einstein condensation in atomic alkali gases and find excellent agreement with recent experimental observations. A system of bosons confined by a harmonic oscillator potential is not…

Condensed Matter · Physics 2009-10-28 Klaus Kirsten , David J. Toms

We study the thermodynamic behaviour of an ideal gas of bosons trapped in a three-dimensional anisotropic harmonic oscillator potential. The condensate fraction as well as the specific heat is calculated using the Euler-Maclaurin…

Condensed Matter · Physics 2009-10-28 T. Haugset , H. Haugerud , J. O. Andersen

We present closed analytical expressions for the particle and kinetic energy spatial densities at finite temperatures for a system of noninteracting fermions (bosons) trapped in a d-dimensional harmonic oscillator potential. For d=2 and 3,…

Statistical Mechanics · Physics 2009-11-07 Brandon P. van Zyl , Rajat K. Bhaduri , Akira Suzuki , Matthias Brack

I develop simple thermodynamic relations for a collection of noninteracting classical particles confined in a harmonic trap. The volume of such a trap is not a good thermodynamic variable, so conventional expressions of the first law of…

Physics Education · Physics 2007-05-23 Martin Ligare

By improving the experimental conditions and extensive data accumulation, we have achieved very high-precision in the measurements of the de Haas-van Alphen effect in the underdoped high-temperature superconductor…

We theoretically investigate the high-temperature thermodynamics of a strongly interacting trapped Fermi gas near either s-wave or p-wave Feshbach resonances, using a second order quantum virial expansion. The second virial coefficient is…

Quantum Gases · Physics 2011-07-15 Shi-Guo Peng , Shi-Qun Li , Peter D Drummond , Xia-Ji Liu

Intrinsic discrete nature in thermodynamic properties of Fermi gases appears under strongly confined and degenerate conditions. For a rectangular confinement domain, thermodynamic properties of an ideal Fermi gas are expressed in their…

Quantum Gases · Physics 2016-02-24 Alhun Aydin , Altug Sisman

A free particle coupled to a heat bath can exhibit a number of thermodynamic anomalies like a negative specific heat or reentrant classicality. These low-temperature phenomena are expected to be modified at very low temperatures where…

Statistical Mechanics · Physics 2014-04-11 Robert Adamietz , Gert-Ludwig Ingold , Ulrich Weiss

The de Haas-van Alphen effect (dHvAe), describing oscillations of the magnetization as a function of magnetic field, is commonly assumed to be a definite sign for the presence of a Fermi surface (FS). Indeed, the effect forms the basis of a…

Strongly Correlated Electrons · Physics 2015-10-05 Johannes Knolle , Nigel R. Cooper

We present a theory of quantum oscillations in insulators that are particle-hole symmetric and non-topological but with arbitrary band dispersion, at both zero and non-zero temperature. At temperatures $T$ less than or comparable to the…

Mesoscale and Nanoscale Physics · Physics 2016-09-23 Hridis K. Pal , Frédéric Piéchon , Jean-Noël Fuchs , Mark Goerbig , Gilles Montambaux

Single-component quantum gas confined in a harmonic potential, but otherwise isolated, is considered. From the invariance of the system of the gas under a displacement-type transformation, it is shown that the center of mass oscillates…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dae-Yup Song

We investigate theoretically the properties of an ideal trapped gas in a time-dependent harmonic potential. Using a scaling formalism, we are able to present simple analytical results for two important classes of experiments: free expansion…

Statistical Mechanics · Physics 2009-10-31 Georg M. Bruun , Charles W. Clark

We reveal a strong influence of a superfluid phase transition on the character of single-particle excitations of a trapped neutral-atom Fermi gas. Below the transition temperature the presence of a spatially inhomogeneous order parameter…

Statistical Mechanics · Physics 2009-10-31 M. A. Baranov