Laser Physics

Breathing oscillations of Bose-Fermi mixtures with Yb atoms in the prolate deformed traps

Tomoyuki Maruyama, Hiroyuki Yabu

Published Apr 2, 2010• 0 citations

Abstract

We study the breathing oscillations in bose-fermi mixing gases with Yb atoms in the prolate deformed trap, which are realized in Kyoto group. We choose the three combinations of the Yb isotopes, 170 Yb– 171 Yb, 170 Yb– 173 Yb and 174 Yb– 173 Yb, whose boson-fermion interactions are weakly repulsive, strongly attractive and strongly repulsive. Then we calculate the collective oscillations in the deformed trap using a dynamical time-dependent approach, which is formulated with the time-dependent Gross-Pitaevskii equation and the Vlasov equation.

DOI: 10.1134/s1054660x10090458

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Laser Physics

Breathing oscillations of Bose-Fermi mixtures with Yb atoms in the prolate deformed traps

Tomoyuki Maruyama, Hiroyuki Yabu

Published Apr 2, 2010• 0 citations

Publisher

Abstract

DOI: 10.1134/s1054660x10090458

Related papers

Longitudinal and transverse breathing oscillations in Bose–Fermi mixtures of Yb atoms at zero temperature in the largely prolate deformed traps

Tomoyuki Maruyama, Hiroyuki Yabu

We study the breathing oscillations in bose-fermi mixtures with Yb isotopes in the largely prolate deformed trap, which are realized by Kyoto group. We choose the three combinations of the Yb isotopes, Yb170-Yb171, Yb170-Yb173 and Yb174-Yb173, whose boson-fermion interactions are weakly repulsive, strongly attractive and strongly repulsive. The collective oscillations in the deformed trap are calculated in the dynamical time-development approach, which is formulated with the time-dependent Gross-Pitaevskii and the Vlasov equations. We analyze the results in the time-development approach with the intrinsic oscillation modes of the deformed system, which are obtained using the scaling method, and show that the damping and forced-oscillation effects of the intrinsic modes give time-variation of oscillations, especially, in the fermion transverse mode.We study the breathing oscillations in bose-fermi mixtures with Yb isotopes in the largely prolate deformed trap, which are realized by Kyoto group. We choose the three combinations of the Yb isotopes, Yb170-Yb171, Yb170-Yb173 and Yb174-Yb173, whose boson-fermion interactions are weakly repulsive, strongly attractive and strongly repulsive. The collective oscillations in the deformed trap are calculated in the dynamical time-development approach, which is formulated with the time-dependent Gross-Pitaevskii and the Vlasov equations. We analyze the results in the time-development approach with the intrinsic oscillation modes of the deformed system, which are obtained using the scaling method, and show that the damping and forced-oscillation effects of the intrinsic modes give time-variation of oscillations, especially, in the fermion transverse mode.

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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 =

Jan 1, 20080 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.