Breathing Dynamics for Systems of Interacting Particles in the Microcanonical and Canonical Descriptions

Olivetti, Alain; Barré, Julien; Marcos, Bruno; Bouchet, Freddy; Kaiser, Robin

doi:10.1080/00411450.2011.567857

Cited by 4 publications

(4 citation statements)

References 23 publications

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“…The agreement is less good however when the friction strongly varies (see figure 2 inset). A similar behavior was observed for the breathing oscillation with space variable friction in [19] and it is closely related to the ansatz assumption that the profile does not change during the oscillation. To give a schematic view, let us consider two particles with the same velocity but with different positions.…”

Section: A Space Dependant Frictionsupporting

confidence: 77%

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Approximated center-of-mass motion for systems of interacting particles with space- and velocity-dependent friction and anharmonic potential

Olivetti

Labeyrie²,

Kaiser³

2014

Phys. Rev. E

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We study the center-of-mass motion in systems of trapped interacting particles with space and velocity dependent friction, and anharmonic traps. Our approach, based on a dynamical ansatz assuming a fixed density profile, allows us to obtain information at once for a wide range of binary interactions and interaction strengths, at linear and non linear levels. Our findings are first tested on different simple models by comparison with direct numerical simulations. Then, we apply the method to characterize the motion of the center-of-mass of a magneto-optical trap, and its dependence on the number of trapped atoms. Our predictions are compared with experiments performed on a large Rb 85 magneto-optical trap.

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Section: A Space Dependant Frictionsupporting

confidence: 77%

“…For instance in the case of a space and/or velocity dependent diffusion or with rotational forces. Finally a combination of the dynamical ansatz introduced in this paper and the scaling ansatz method detailed in [19,24] may be useful to describe simultaneously the center-of-mass motion and the breathing mode oscillation [25].…”

Section: Discussionmentioning

confidence: 99%

Approximated center-of-mass motion for systems of interacting particles with space- and velocity-dependent friction and anharmonic potential

Olivetti

Labeyrie²,

Kaiser³

2014

Phys. Rev. E

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“…173 This study has been extended to include space dependent friction and diffusion, indicating a transition from over-to underdamped oscillations. 174 These results show the potential of cold atomic clouds for the study of long-range interacting systems. It will be interesting to explore to what extend light-induced forces could, e.g., be used to realize highly unstable regimes, reminiscent of a kind of optical induced turbulence, which seems to be already included in numerical models (Fig.…”

Section: Plasma Physics With Motsmentioning

confidence: 89%

Cold and Hot Atomic Vapors: A Testbed for Astrophysics?

Baudouin

Guerin

Kaiser

2014

Annual Review of Cold Atoms and Molecules

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Atomic physics experiments, based on hot vapors or laser-cooled atomic samples, may be useful to simulate some astrophysical problems, where radiation pressure, radiative transport or light amplification are involved. We discuss several experiments and proposals, dealing with multiplescattering of light in hot and cold atomic vapors, random lasing in cold atoms and light-induced long-range forces, which may be relevant in this context.

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“…Equation (101) resembles a formula by Olivetti et al [28,78] for the breathing frequency of classical systems,…”

Section: Operator Equation For the Breathing Modementioning

confidence: 96%

Quantum Breathing Mode of Trapped Particles: From Nanoplasmas to Ultracold Gases

Abraham

Bönitz

2014

Contrib. Plasma Phys.

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Particles spatially confined in trapping potentials have attracted increasing interest over the recent decade. Of particular importance are systems of charged particles, such as non-neutral plasmas, nanoplasmas, electrons in metal clusters, electrons in quantum-confined semiconductor structures ("artificial atoms"), electrons on the surface of liquid helium, ions in traps or highly charged particles (grains) in dusty plasmas. A second example of recent interest are systems with other kinds of pair interactions, including dipole interaction, which is important for excitons in quantum wells or ultracold Fermi and Bose gases in traps and optical lattices.Trapped systems are fundamentally different from macroscopic systems since they are dominated by strong spatial inhomogeneity and finite size effects (the properties depend on the exact particle number). Furthermore, by changing the strength of the confinement potential, the many-particle state of the system can be externally controlled-from weak coupling (gas-like) to strong coupling (crystal-like). While trapped classical particles are meanwhile well understood and accessible to first-principle computer simulations, their quantum counterparts still pose big challenges, both for experiment and theory. Therefore, collective properties that can be easily measured or computed and allow to diagnose the many-particle state of the system are of prime importance. It has been found that the quantum breathing mode (monopole oscillation) is one of the most important such properties. In recent years a number of theoretical studies has demonstrated that the quantum breathing mode is ideally suited to measure the coupling strength (the degree of nonideality) of a trapped system, its kinetic and interaction energy and other key observables. This give rise to a novel kind of "spectroscopy" of trapped systems.In this review these developments are summarized. The quantum breathing mode is studied for trapped fermions and bosons with Coulomb and dipole interaction, respectively. A systematic description of collective oscillations and especially the breathing mode is provided. Making use of time-dependent perturbation theory, it is shown how the corresponding breathing frequencies are connected to the properties of the initial equilibrium system. This gives rise to the application of the quantum mechanical sum rules. It is demonstrated how an improved version of the conventional sum rule formulas is suitable for an accurate description of the breathing mode in small systems. Finally, the dependence of the breathing mode on the particle number N is analyzed and the limit of large N is studied for one-dimensional and two-dimensional systems.

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Breathing Dynamics for Systems of Interacting Particles in the Microcanonical and Canonical Descriptions

Cited by 4 publications

References 23 publications

Approximated center-of-mass motion for systems of interacting particles with space- and velocity-dependent friction and anharmonic potential

Approximated center-of-mass motion for systems of interacting particles with space- and velocity-dependent friction and anharmonic potential

Cold and Hot Atomic Vapors: A Testbed for Astrophysics?

Quantum Breathing Mode of Trapped Particles: From Nanoplasmas to Ultracold Gases

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