Collisionless and hydrodynamic excitations of trapped boson-fermion mixtures
arXiv:cond-mat/0212169 · doi:10.1103/PhysRevA.67.023613
Abstract
Within a scaling ansatz formalism plus Thomas-Fermi approximation, we investigate the collective excitations of a harmonically trapped boson-fermion mixture in the collisionless and hydrodynamic limit at low temperature. Both the monopole and quadrupole modes are considered in the presence of spherical as well as cylindrically symmetric traps. In the spherical traps, the frequency of monopole mode coincides in the collisionless and hydrodynamic regime, suggesting that it might be undamped in all collisional regimes. In contrast, for the quadrupole mode, the frequency differs largely in these two limits. In particular, we find that in the hydrodynamic regime the quadrupole oscillations with equal bosonic and fermionic amplitudes generate an exact eigenstate of the system, regardless of the boson-fermion interaction. This resembles the Kohn mode for the dipole excitation. We discuss in some detail the behavior of monopole and quadrupole modes as a function of boson-fermion coupling at different boson-boson interaction strength. Analytic solutions valid at weak and medium fermion-boson coupling are also derived and discussed.
29 pages + 7 figures, resubmitted to Physical Review A
References in corpus (1)
Cited by in corpus (37)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Atomic Bose-Fermi mixtures in an optical lattice
- Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Atomic Fermi-Bose mixtures in inhomogeneous and random lattices: From Fermi glass to quantum spin glass and quantum percolation
- Fermionic bright soliton in a boson-fermion mixture
- Disordered ultracold atomic gases in optical lattices: A case study of Fermi-Bose mixtures
- Mean-field description of dynamical collapse of a fermionic condensate in a trapped boson-fermion mixture
- Collective excitations in trapped boson-fermion mixtures: from demixing to collapse
- Many-Body Expansion Dynamics of a Bose-Fermi Mixture Confined in an Optical Lattice
- Breathing Mode of a BEC Repulsively Interacting with a Fermionic Reservoir
- Finite temperature effects on the collapse of trapped Bose-Fermi mixtures
- Gap solitons in superfluid boson-fermion mixtures
- Mean-field theory of Bose-Fermi mixtures in optical lattices
- The stability and free expansion of a dipolar Fermi gas
- Expansion of a quantum degenerate boson-fermion mixture
- Free expansion of fermionic dark solitons in a boson-fermion mixture
- Thermodynamics of a Trapped Bose-Fermi Mixture
- Collisional oscillations of trapped boson-fermion mixtures approaching collapse
- Low-momentum dynamic structure factor of a strongly interacting Fermi gas at finite temperature: The Goldstone phonon and its Landau damping
- Dipole Oscillations in Bose - Fermi Mixture in the Time-Dependent Grosspitaevskii and Vlasov equations
- Trapped Phase-Segregated Bose-Fermi Mixtures and their Collective Excitations
- Breathing Mode of a Bose-Einstein Condensate Immersed in a Fermi Sea
- Collective oscillations of a Bose-Fermi mixture: Effect of unequal mass of Bose and Fermi particles
- Finite temperature excitations of a trapped Bose-Fermi mixture
- Collective flow of fermionic impurities immersed in a Bose-Einstein Condensate
- Dynamical properties of a trapped dipolar Fermi gas at finite temperature
- Scissors modes of two-component degenerate gases: Bose-Bose and Bose-Fermi mixtures
- Black soliton in a quasi-one-dimensional trapped fermion-fermion mixture
- Quadrupole Oscillations in Bose-Fermi Mixtures of Ultracold Atomic Gases made of Yb atoms in the Time-Dependent Gross-Pitaevskii and Vlasov equations
- Velocity of sound in a Bose-Einstein condensate in the presence of an optical lattice and transverse confinement
- Bunching-antibunching crossover in harmonically trapped few-body Bose-Fermi mixtures
- Comprehensive classification for Bose-Fermi mixtures
- Collective oscillations of a two-component Fermi gas on the repulsive branch
- Dipole oscillation of a trapped Bose--Fermi-mixture gas in collisionless and hydrodynamic regimes
- Effective Hamiltonian study of excitations in a boson- fermion mixture with attraction between components
- Dipole Mode of Trapped Bose--Fermi Mixture Gas