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Collective Excitations of a Bose-Einstein Condensate Confined in Magneto-Optical Traps

正人大矢

Mar 1, 19980 citations

Collective Excitations of a Confined Bose Condensate

Kanwal G. Singh, Daniel S. Rokhsar

We discuss the collective excitation spectrum and condensate depletion of a dilute, interacting Bose condensate confined to a harmonic potential, within the Bogoliubov approximation. The spectrum is calculated explicitly for weak coupling based on a variational condensate. We discuss the qualitative nature of this spectrum and make quantitative predictions for future experiments.

Physical Review LettersAug 26, 1996107 citations

Collective Excitations of a Trapped Bose-Einstein Condensate

T. Kimura, Hiroki Saito, Masahito Ueda

Elsevier eBooksJan 1, 19990 citations

Excitations of Trapped Bose condensates

S. Stringari

APSMar 1, 19980 citations

Collective excitation of a trapped Bose-Einstein condensate with spin-orbit coupling

Li Chen, Han Pu, Zeng-Qiang Yu +1 more

We investigate the collective excitations of a Raman-induced spin-orbit coupled Bose-Einstein condensate confined in a quasi-one-dimensional harmonic trap using the Bogoliubov method. By tuning the Raman coupling strength, three phases of the system can be identified. By calculating the transition strength, we are able to classify various excitation modes that are experimentally relevant. We show that the three quantum phases possess distinct features in their collective excitation properties. In particular, the spin dipole and the spin breathing modes can be used to clearly map out the phase boundaries. We confirm these predictions by direct numerical simulations of the quench dynamics that excites the relevant collective modes.We investigate the collective excitations of a Raman-induced spin-orbit coupled Bose-Einstein condensate confined in a quasi-one-dimensional harmonic trap using the Bogoliubov method. By tuning the Raman coupling strength, three phases of the system can be identified. By calculating the transition strength, we are able to classify various excitation modes that are experimentally relevant. We show that the three quantum phases possess distinct features in their collective excitation properties. In particular, the spin dipole and the spin breathing modes can be used to clearly map out the phase boundaries. We confirm these predictions by direct numerical simulations of the quench dynamics that excites the relevant collective modes.

arXiv:1704.01242Physical Review AMar 15, 201730 citations

Collective modes of trapped spinor Bose–Einstein condensates

C Trallero-Giner, Darío G. Santiago-Pérez, Vı́ctor Romero-Rochı́n +1 more

Abstract We study the structure of quasi-one-dimensional Bogoliubov–de Genes collective excitations of inhomogeneous F = 1 spinor Bose–Einstein condensates confined by a harmonic trap potential and loaded into an optical lattice. Employing a perturbative method, we report general analytical expressions for the polar and ferromagnetic confined collective oscillations. In both cases, the excited eigenfrequencies are given as functions of the effective 1D coupling constants, the trap frequency and the optical lattice parameters. While the presence of the trap yields quantized longitudinal collective modes, whose spectra depends on the collision scattering lengths, the optical lattice shifts their frequencies and, more importantly, yields tunable oscillations of the spin populations, for the even modes, as experimentally observed.Abstract We study the structure of quasi-one-dimensional Bogoliubov–de Genes collective excitations of inhomogeneous F = 1 spinor Bose–Einstein condensates confined by a harmonic trap potential and loaded into an optical lattice. Employing a perturbative method, we report general analytical expressions for the polar and ferromagnetic confined collective oscillations. In both cases, the excited eigenfrequencies are given as functions of the effective 1D coupling constants, the trap frequency and the optical lattice parameters. While the presence of the trap yields quantized longitudinal collective modes, whose spectra depends on the collision scattering lengths, the optical lattice shifts their frequencies and, more importantly, yields tunable oscillations of the spin populations, for the even modes, as experimentally observed.

arXiv:1608.01020Journal of Physics B Atomic Molecular and Optical PhysicsOct 23, 20170 citations

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