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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

Quantum phase slips, i.e the primary excitations in one-dimensional superfluids at low temperature, have been well characterized in most condensed-matter systems, with the notable exception of ultracold quantum gases. Here we present our…

Using Popov's hydrodynamic approach we derive an effective Euclidean action for the long-wavelength phase fluctuations of superfluid Bose gases in D dimensions. We then use this action to calculate the damping of phase fluctuations at zero…

Quantum Gases · Physics 2012-11-20 Philipp Lange , Peter Kopietz , Andreas Kreisel

We present a theory for the Landau damping of low energy quasi-particles in a collisionless, quasi-2D dipolar Bose gas and produce expressions for the damping rate in uniform and non-uniform systems. Using simple energy-momentum…

Quantum Gases · Physics 2015-06-17 Stefan S. Natu , Ryan M. Wilson

A one-dimensional (1D) Bose system with dipole-dipole repulsion is studied at zero temperature by means of a Quantum Monte Carlo method. It is shown that in the limit of small linear density the bosonic system of dipole moments acquires…

Strongly Correlated Electrons · Physics 2009-11-11 A. S. Arkhipov , G. E. Astrakharchik , A. V. Belikov , Yu. E. Lozovik

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

In this chapter we will present the one-dimensional (1d) quantum degenerate Bose gas (1d superfluid) as a testbed to experimentally illustrate some of the key aspects of quantum thermodynamics. Hard-core bosons in one-dimension are…

Quantum Physics · Physics 2019-05-01 Joerg Schmiedmayer

We report the observation of strongly damped dipole oscillations of a quantum degenerate 1D atomic Bose gas in a combined harmonic and optical lattice potential. Damping is significant for very shallow axial lattices (0.25 photon recoil…

Other Condensed Matter · Physics 2009-11-10 C. D. Fertig , K. M. O'Hara , J. H. Huckans , S. L. Rolston , W. D. Phillips , J. V. Porto

Using linear response theory within the Random Phase Approximation, we investigate the propagation of sound in a uniform two dimensional (2D) Bose gas in the collisionless regime. We show that the sudden removal of a static density…

We present a general analysis of the cooling produced by losses on condensates or quasi-condensates. We study how the occupations of the collective phonon modes evolve in time, assuming that the loss process is slow enough so that each mode…

Quantum Gases · Physics 2018-11-07 I. Bouchoule , M. Schemmer , C. Henkel

We present a numerical study of the dynamical effects following a sudden change of the transverse trapping frequency in an elongated Bose-Einstein condensate, which induces periodic oscillations of the radial density. At early times, we…

Quantum Gases · Physics 2018-09-12 Scott Robertson , Florent Michel , Renaud Parentani

Influence of the damping on collective oscillations of a one-dimensional trapped Bose gas in the mean field regime has been studied. Using the phenomenological damping approach developed by L.P. Pitaevskii, modified variational equations…

Other Condensed Matter · Physics 2015-06-25 Fatkhulla Kh Abdullaev , Ravil M. Galimzyanov , Khayotullo Ismatullaev

In the presence of dipolar interactions the excitation spectrum of a Bose gas can acquire a local minimum. The corresponding quasiparticles are known as rotons. They are gaped and do not decay at zero temperature. Here we study the decay of…

Quantum Gases · Physics 2020-09-09 Hadrien Kurkjian , Zoran Ristivojevic

At low temperatures, elementary excitations of a one-dimensional quantum liquid form a gas that can move as a whole with respect to the center of mass of the system. This internal motion attenuates at exponentially long time scales. As a…

Mesoscale and Nanoscale Physics · Physics 2018-11-07 K. A. Matveev , A. V. Andreev

We consider a simple model of the quasi-two-dimensional dipolar Bose gas confined in the one-dimensional square well potential. All dipoles are assumed to be oriented along the confining axis. By means of hydrodynamic approach it is shown…

Quantum Gases · Physics 2016-06-10 Volodymyr Pastukhov

Low-dimensional systems are beautiful examples of many-body quantum physics. For one-dimensional systems the Luttinger liquid approach provides insight into universal properties. Much is known of the equilibrium state, both in the weakly…

Other Condensed Matter · Physics 2008-02-14 S. Hofferberth , I. Lesanovsky , B. Fischer , T. Schumm , J. Schmiedmayer

We investigate the formation of quantum droplets at finite temperature in attractive Bose mixtures subject to a strong transverse harmonic confinement. By means of exact path-integral Monte Carlo methods we determine the equilibrium density…

Quantum Gases · Physics 2024-08-20 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

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

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

We consider a non-relativistic quantum gas of $N$ bosonic atoms confined to a box of volume $\Lambda$ in physical space. The atoms interact with each other through a pair potential whose strength is inversely proportional to the density,…

Mathematical Physics · Physics 2014-06-09 D. -A. Deckert , J. Fröhlich , P. Pickl , A. Pizzo
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