Collective modes of a strongly interacting Bose gas: probing the Mott transition

Abstract

We analyze the collective modes of a harmonically trapped, strongly interacting Bose gas in an optical lattice in the vicinity of the Mott insulator transition. For that aim we employ the dynamical Gutzwiller equations, by performing real-time evolution and by solving the equations in linear response. We find a strong dependence on the spatial dimension of the system: while in one dimension the frequency of the dipole mode vanishes at the Mott transition, in higher dimensions the dominant dipole mode is featureless and we find a signature only in the breathing mode. We discuss implications for experiments with bosonic and fermionic atoms.

10 pages, 7 figures; updated figures, published version

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Imaging the Mott Insulator Shells using Atomic Clock Shifts
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Dynamic properties of the one-dimensional Bose-Hubbard model
• Spectral weight redistribution in strongly correlated bosons in optical lattices
• Phase-slip induced dissipation in an atomic Bose-Hubbard system
• Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice
• Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator
• Dipole oscillations of confined lattice bosons in one dimension

Cited by in corpus (5)

• Excitation spectra of many-body systems by linear response: General theory and applications to trapped condensates
• Breathing mode in the Bose-Hubbard chain with a harmonic trapping potential
• Excitation spectra of fragmented condensates by linear response: General theory and application to a condensate in a double-well potential
• Frustrated Quantum Magnetism with Bose Gases in Triangular Optical Lattices at Negative Absolute Temperatures
• Application of the inhomogeneous Kibble-Zurek mechanism to quench dynamics in the transition from a Mott-insulator to a superfluid in a finite system