Signatures of the superfluid to Mott-insulator transition in the excitation spectrum of ultracold atoms
arXiv:cond-mat/0604625 · doi:10.1088/1367-2630/8/8/160
Abstract
We present a detailed analysis of the dynamical response of ultra-cold bosonic atoms in a one-dimensional optical lattice subjected to a periodic modulation of the lattice depth. Following the experimental realization by Stoferle et al [Phys. Rev. Lett. 92, 130403 (2004)] we study the excitation spectrum of the system as revealed by the response of the total energy as a function of the modulation frequency Omega. By using the Time Evolving Block Decimation algorithm, we are able to simulate one-dimensional systems comparable in size to those in the experiment, with harmonic trapping and across many lattice depths ranging from the Mott-insulator to the superfluid regime. Our results produce many of the features seen in the experiment, namely a broad response in the superfluid regime, and narrow discrete resonances in the Mott-insulator regime. We identify several signatures of the superfluid-Mott insulator transition that are manifested in the spectrum as it evolves from one limit to the other.
arXiv comment18 pages and 12 figures; Some improved results and additional references. To appear in a special issue of New J. Phys
References in corpus (36)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- The density-matrix renormalization group
- Efficient classical simulation of slightly entangled quantum computations
- Efficient simulation of one-dimensional quantum many-body systems
- Real time evolution using the density matrix renormalization group
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- The cold atom Hubbard toolbox
- Entanglement of atoms via cold controlled collisions
- Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
- Quantum Logic Gates in Optical Lattices
- Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
- Exciting Collective Oscillations in a Trapped 1D Gas
- Phases of the one-dimensional Bose-Hubbard model
- Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
- Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
- Mott Domains of Bosons Confined on Optical Lattices
- Real-time dynamics in spin-1/2 chains with adaptive time-dependent DMRG
- Spin-spin interaction and spin-squeezing in an optical lattice
- Quantum Computation with a One-Dimensional Optical Lattice
- Efficient generation of graph states for quantum computation
- Superfluid to Mott insulator transition in one, two, and three dimensions
- Dynamics of the superfluid to Mott insulator transition in one dimension
- Bragg Spectroscopy of ultracold atoms loaded in an optical lattice
- Entangling strings of neutral atoms in 1D atomic pipeline structures
- Parametric excitation of a Bose-Einstein condensate in a 1D optical lattice
- Stability diagram and growth rate of parametric resonances in Bose-Einstein condensates in one-dimensional optical lattices
- Dynamic structure factor of a Bose Einstein condensate in a 1D optical lattice
- One-dimensional density waves of ultracold bosons in an optical lattice
- Energy absorption of a Bose gas in a periodically modulated optical lattice
- Dynamic response of trapped ultracold bosons on optical lattices
- Numerical Analysis of Coherent Many-Body Currents in a Single Atom Transistor
- Dynamic structure factor of ultracold Bose and Fermi gases in optical lattices
- Simulation of many-qubit quantum computation with matrix product states
- Temperature in One-Dimensional Bosonic Mott insulators
- Excitations of Bose-Einstein condensates in optical lattices
Cited by in corpus (23)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Extended Bose-Hubbard Models with Ultracold Magnetic Atoms
- Coherent control of dressed matter waves
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Dynamical properties of ultracold bosons in an optical lattice
- Precision Measurements on a Tunable Mott Insulator of Ultracold Atoms
- Slow quench dynamics of periodically driven quantum gases
- Impurity transport through a strongly interacting bosonic quantum gas
- Dynamical simulations of classical stochastic systems using matrix product states
- On-site number statistics of ultracold lattice bosons
- Many-body Landau-Zener tunneling in the Bose-Hubbard model
- Dynamics of cold bosons in optical lattices: Effects of higher Bloch bands
- Effective spin model for interband transport in a Wannier-Stark lattice system
- Interaction-driven Lifshitz transition with dipolar fermions in optical lattices
- Response of Bose gases in time-dependent optical superlattices
- Fast initialization of a high-fidelity quantum register using optical superlattices
- Phase transitions in Bose-Fermi-Hubbard model in the heavy fermion limit: Hard-core boson approach
- Probing the Superfluid - Mott Insulating Shell Structure of Cold Atoms by Parametric Excitations
- Trapped Ultracold Bosons in Periodically Modulated Lattices
- Ultracold Bose gases in time-dependent 1D superlattices: response and quasimomentum structure
- Tunneling of a few strongly repulsive hard-sphere bosons in an optical lattice with tight external harmonic confinement: A quantum Monte Carlo investigation in continuous space
- Bose-Einstein condensates in disordered potentials
- Multiple particle-hole pair creation in the Fermi-Hubbard model by a pump laser