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Related papers: Damping in 2D and 3D dilute Bose gases

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We study Landau damping in dilute Bose-Einstein condensed gases in both spherical and prolate ellipsoidal harmonic traps. We solve the Bogoliubov equations for the mode spectrum in both of these cases, and calculate the damping by summing…

Statistical Mechanics · Physics 2009-11-10 B. Jackson , E. Zaremba

We present a detailed finite-temperature Hartree-Fock-Bogoliubov (HFB) treatment of the two-dimensional trapped Bose gas. We highlight the numerical methods required to obtain solutions to the HFB equations within the Popov approximation,…

Statistical Mechanics · Physics 2009-11-10 Christopher Gies , D. A. W. Hutchinson

Damping in a dilute Bose gas is investigated using a mean-field approximation which describes the coupled oscillations of condensate and non-condensate atoms in the collisionless regime. Explicit results for both Landau and Beliaev damping…

Condensed Matter · Physics 2009-10-30 S. Giorgini

We propose a method to probe Landau and Beliaev processes in dilute trapped atomic condensates with a multiple state structure using ultraslow light experimental configurations. Under certain conditions, damping rates from these collisional…

Statistical Mechanics · Physics 2009-11-11 D. C. Roberts

Recently it was shown that the Landau-Khalatnikov two-fluid hydrodynamics describes the collision-dominated region of a trapped Bose condensate interacting with a thermal cloud. We use these equations to discuss the low frequency…

Statistical Mechanics · Physics 2009-11-10 Tetsuro Nikuni , Allan Griffin

We present a quantitative description of the thermalization dynamics of far-from-equilibrium, two-dimensional (2D) Bose superfluids. Our analysis leverages a quantum kinetic formalism and allows us to identify two successive regimes of…

Quantum Gases · Physics 2025-04-01 Clément Duval , Nicolas Cherroret

We study the dynamics of dilute and ultracold bosonic gases in a quasi two-dimensional (2D) configuration and in the collisionless regime. We adopt the 2D Landau-Vlasov equation to describe a three-dimensional gas under very strong harmonic…

Quantum Gases · Physics 2018-10-10 A. Cappellaro , F Toigo , L. Salasnich

Starting from the quantum kinetic equation for the non-condensate atoms and the generalized Gross-Pitaevskii equation for the condensate, we derive the two-fluid hydrodynamic equations of a trapped Bose gas at finite temperatures. We follow…

Statistical Mechanics · Physics 2009-10-31 Tetsuro Nikuni , Allan Griffin

We study the damping of Bogoliubov excitations in an optical lattice at finite temperatures. For simplicity, we consider a Bose-Hubbard tight-binding model and limit our analysis to the lowest excitation band. We use the Popov approximation…

Statistical Mechanics · Physics 2009-11-11 S. Tsuchiya , A. Griffin

We derive and discuss the equations of motion for the condensate and its fluctuations for a dilute, weakly interacting Bose gas in an external potential within the self--consistent Hartree--Fock--Bogoliubov (HFB) approximation. Account is…

Condensed Matter · Physics 2009-10-28 Allan Griffin

Extending recent work to finite temperatures, we calculate the Landau damping of a Bogoliubov excitation in an optical lattice, due to coupling to a thermal cloud of such excitations. For simplicity, we consider a 1D Bose-Hubbard model and…

Soft Condensed Matter · Physics 2009-11-10 S. Tsuchiya , A. Griffin

Although holographic duality has been regarded as a complementary tool in helping understand the non-equilibrium dynamics of strongly coupled many-body systems, it still remains a remarkable challenge how to confront its predictions…

High Energy Physics - Theory · Physics 2023-06-09 Yu-Kun Yan , Shanquan Lan , Yu Tian , Peng Yang , Shunhui Yao , Hongbao Zhang

We present a Hartree-Fock-Bogoliubov (HFB) theoretical treatment of the two-dimensional trapped Bose gas and indicate how semiclassical approximations to this and other formalisms have lead to confusion. We numerically obtain results for…

Statistical Mechanics · Physics 2016-08-31 Christopher Gies , Brandon van Zyl , S. A. Morgan , D. A. W. Hutchinson

We investigate Landau damping of Bogoliubov excitations in a dilute Bose gas moving in an optical lattice at finite temperatures. Using a 1D tight-binding model, we explicitly obtain the Landau damping rate, the sign of which determines the…

Other Condensed Matter · Physics 2007-05-23 Kiyohito Iigaya , Satoru Konabe , Ippei Danshita , Tetsuro Nikuni

We study the Landau damping in Bose-Fermi superfluid mixture at finite temperature. We find that at low temperature, the Landau damping rate will be exponentially suppressed at both the BCS side and the BEC side of Fermi superfluid. The…

Quantum Gases · Physics 2015-09-30 Huitao Shen , Wei Zheng

In a 1D Bose gas, there is no non-trivial scattering channel involving three Bogoliubov quasiparticles that conserves both energy and momentum. Nevertheless, we show that such 3-wave mixing processes (Beliaev and Landau damping) account for…

Quantum Gases · Physics 2023-01-11 Amaury Micheli , Scott Robertson

We calculate the damping of low-lying collective modes of a trapped Bose gas in the hydrodynamic regime, and show that this comes solely from the shear viscosity, since the contributions from bulk viscosity and thermal conduction vanish.…

Condensed Matter · Physics 2009-10-30 G. M. Kavoulakis , C. J. Pethick , H. Smith

We extend our recent work on the two-fluid hydrodynamics of the condensate and non-condensate in a trapped Bose gas by including the dissipation associated with viscosity and thermal conduction. For purposes of illustration, we consider the…

Statistical Mechanics · Physics 2009-10-31 T. Nikuni , A. Griffin , E. Zaremba

The method of choice for describing attractive quantum systems is Hartree-Fock-Bogoliubov (HFB) theory. This is a nonlinear model which allows for the description of pairing effects, the main explanation for the superconductivity of certain…

Numerical Analysis · Mathematics 2013-11-08 Mathieu Lewin , Séverine Paul

We develop a microscopic theory of sound damping due to Landau mechanism in dilute gas with Bose condensate. It is based on the coupled evolution equations of the parameters describing the system. These equations have been derived in…

Quantum Gases · Physics 2013-07-22 Yu. Slyusarenko , A. Kruchkov
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