Trapped Ultracold Bosons in Periodically Modulated Lattices

Abstract

Motivated by the recent rapid development of the field of quantum gases in optical lattices, we present a comprehensive study of the spectrum of ultracold atoms in a one-dimensional optical lattice subjected to a periodic lattice modulation. Using the time-dependent density-matrix renormalization group method, we study the dynamical response due to lattice modulations in different quantum phases of the system with varying density. For the Mott insulating state, we identify several excitation processes, which provide important information about the density profile of the gases. For the superfluid, the dynamical response can be well described in a local density approximation. This simplification can be valuable in understanding the strong-correlated superfluid in a slow-varying harmonic potential. All these spectroscopic features of an inhomogeneous system can be used as a test for the validity of the Bose-Hubbard model in a parabolic trapping potential.

8 pages, 6 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group in the age of matrix product states
• Real time evolution using the density matrix renormalization group
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Quantum simulation of frustrated magnetism in triangular optical lattices
• Coherent control of dressed matter waves
• Spectroscopy of ultracold atoms by periodic lattice modulations
• Slow quench dynamics of periodically driven quantum gases
• Signatures of the superfluid to Mott-insulator transition in the excitation spectrum of ultracold atoms

Cited by in corpus (5)

• Dynamics of cold bosons in optical lattices: Effects of higher Bloch bands
• Parallel loop cluster quantum Monte Carlo simulation of quantum magnets based on global union-find graph algorithm
• Numerical Computation of Dynamically Important Excited States of Many-Body Systems
• Variational Bose-Hubbard model revisited
• Dynamical correlation functions for the one-dimensional Bose-Hubbard insulator