arXiv:cond-mat/0303216 · International Symposium on Frontiers of Collective Motions (CM2002)

TIME-DEPENDENT DYNAMICS OF THE BOSE-FERMI MIXED CONDENSED SYSTEM

Tomoyuki Maruyama, Hiroyuki Yabu, Takahiro Suzuki

Published Dec 1, 2003• 1 citation

arXiv HTML PDF

Abstract

DOI: 10.1142/9789812703972_0034

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arXiv:cond-mat/0303216 · International Symposium on Frontiers of Collective Motions (CM2002)

TIME-DEPENDENT DYNAMICS OF THE BOSE-FERMI MIXED CONDENSED SYSTEM

Tomoyuki Maruyama, Hiroyuki Yabu, Takahiro Suzuki

Published Dec 1, 2003• 1 citation

arXiv HTML PDF

Abstract

DOI: 10.1142/9789812703972_0034

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Time-Dependent Dynamics of the Bose-Fermi Mixed Condensed System ∗

Tomoyuki Maruyama, Hiroyuki Yabu, Takahiro Suzuki

We study the monopole oscillation in the bose-fermi mixed condensed system by performing the time-dependent Gross-Pitaevsky (GP) and Vlasov equations. We find that the big damping exists for the fermion oscillation in the mized system even at zero temperature It is one of the most excited theme in recent physics to study the time-dependent dynamical motions of traped atoms under the existence of the Bose-Einstein condensates (BEC) [1, 2], such as the collective motions[3], quantum votices [4] and atomic novae [5]. In the view of the theoretical research, these phenomena are very important also to construct and to examine the transport theory in finite many body system. In fact many atomic system must give good probes for such study because the fundamental interaction is clear and weak. In this work we construct the transport model including the condensed bosons and fermions, and as a first step study the collective monopole motion. Here we briefly explain our formalism. First we define the Hamiltonian for boson-fermion coexistent system as follows. with HB =We study the monopole oscillation in the bose-fermi mixed condensed system by performing the time-dependent Gross-Pitaevsky (GP) and Vlasov equations. We find that the big damping exists for the fermion oscillation in the mized system even at zero temperature It is one of the most excited theme in recent physics to study the time-dependent dynamical motions of traped atoms under the existence of the Bose-Einstein condensates (BEC) [1, 2], such as the collective motions[3], quantum votices [4] and atomic novae [5]. In the view of the theoretical research, these phenomena are very important also to construct and to examine the transport theory in finite many body system. In fact many atomic system must give good probes for such study because the fundamental interaction is clear and weak. In this work we construct the transport model including the condensed bosons and fermions, and as a first step study the collective monopole motion. Here we briefly explain our formalism. First we define the Hamiltonian for boson-fermion coexistent system as follows. with HB =

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We study the dipole collective oscillations in Bose-Fermi mixtures in a dynamical time-dependent approach, which is formulated with the time-dependent Gross-Pitaevskii equation and the Vlasov equation. While the Bose gas oscillates monotonously, the fermion oscillation shows a beat and damping. We find big differences in behaviors of fermion oscillation between the time-dependent approach and usual approaches such as the sum-rule approach. When the amplitude is not minimal, the dipole oscillation of the Fermi gas cannot be described with a simple center-of-mass motion.We study the dipole collective oscillations in Bose-Fermi mixtures in a dynamical time-dependent approach, which is formulated with the time-dependent Gross-Pitaevskii equation and the Vlasov equation. While the Bose gas oscillates monotonously, the fermion oscillation shows a beat and damping. We find big differences in behaviors of fermion oscillation between the time-dependent approach and usual approaches such as the sum-rule approach. When the amplitude is not minimal, the dipole oscillation of the Fermi gas cannot be described with a simple center-of-mass motion.

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Quadrupole oscillations in Bose-Fermi mixtures of ultracold atomic gases made of Yb atoms in the time-dependent Gross-Pitaevskii and Vlasov equations

Tomoyuki Maruyama, Hiroyuki Yabu

We study quadrupole collective oscillations in the bose-fermi mixtures of ultracold atomic gases of Yb isotopes, which are realized by Kyoto group. Three kinds of combinations are chosen, $^{170}\text{Y}\text{b-}^{171}\text{Y}\text{b}$ , $^{170}\text{Y}\text{b-}^{173}\text{Y}\text{b}$ and $^{174}\text{Y}\text{b-}^{173}\text{Y}\text{b}$ , where boson-fermion interactions are weakly repulsive, strongly attractive and strongly repulsive respectively. Collective oscillations in these mixtures are calculated in a dynamical time-evolution approach with the time-dependent Gross-Pitaevskii and the Vlasov equations. The boson oscillations are shown to have one collective mode, and the fermions are shown to have the boson-forced and two intrinsic modes, which correspond to the inside- and outside-fermion oscillations for the boson-distributed regions. The oscillations obtained in the dynamical approach show discrepancies from the results obtained in the small-amplitude approximations, e.g., the random phase approximation, except in the case of weak boson-fermion interactions. We also analyze these discrepancies, and show that they originated in the change of the fermion distributions through oscillation.We study quadrupole collective oscillations in the bose-fermi mixtures of ultracold atomic gases of Yb isotopes, which are realized by Kyoto group. Three kinds of combinations are chosen, $^{170}\text{Y}\text{b-}^{171}\text{Y}\text{b}$, $^{170}\text{Y}\text{b-}^{173}\text{Y}\text{b}$ and $^{174}\text{Y}\text{b-}^{173}\text{Y}\text{b}$, where boson-fermion interactions are weakly repulsive, strongly attractive and strongly repulsive respectively. Collective oscillations in these mixtures are calculated in a dynamical time-evolution approach with the time-dependent Gross-Pitaevskii and the Vlasov equations. The boson oscillations are shown to have one collective mode, and the fermions are shown to have the boson-forced and two intrinsic modes, which correspond to the inside- and outside-fermion oscillations for the boson-distributed regions. The oscillations obtained in the dynamical approach show discrepancies from the results obtained in the small-amplitude approximations, e.g., the random phase approximation, except in the case of weak boson-fermion interactions. We also analyze these discrepancies, and show that they originated in the change of the fermion distributions through oscillation.

arXiv:0901.0596Physical Review AOct 19, 200910 citations

We study quadrupole collective oscillations in the bose-fermi mixtures of ultracold atomic gases of Yb isotopes, which are realized by Kyoto group. Three kinds of combinations are chosen,

^{170}\text{Y}\text{b-}^{171}\text{Y}\text{b}

^{170}\text{Y}\text{b-}^{173}\text{Y}\text{b}

and

^{174}\text{Y}\text{b-}^{173}\text{Y}\text{b}

, where boson-fermion interactions are weakly repulsive, strongly attractive and strongly repulsive respectively. Collective oscillations in these mixtures are calculated in a dynamical time-evolution approach with the time-dependent Gross-Pitaevskii and the Vlasov equations. The boson oscillations are shown to have one collective mode, and the fermions are shown to have the boson-forced and two intrinsic modes, which correspond to the inside- and outside-fermion oscillations for the boson-distributed regions. The oscillations obtained in the dynamical approach show discrepancies from the results obtained in the small-amplitude approximations, e.g., the random phase approximation, except in the case of weak boson-fermion interactions. We also analyze these discrepancies, and show that they originated in the change of the fermion distributions through oscillation.