title: Lattice-Assisted Spectroscopy: A Generalized Scanning Tunneling Microscope for Ultracold Atoms.
abstract: We propose a scheme to measure the frequency-resolved local particle and hole spectra of any optical lattice-confined system of correlated ultracold atoms that offers single-site addressing and imaging, which is now an experimental reality. Combining perturbation theory and time-dependent density matrix renormalization group simulations, we quantitatively test and validate this approach of lattice-assisted spectroscopy on several one-dimensional example systems, such as the superfluid and Mott insulator, with and without a parabolic trap, and finally on edge states of the bosonic Su-Schrieffer-Heeger model. We highlight extensions of our basic scheme to obtain an even wider variety of interesting and important frequency resolved spectra.
authors.affiliation: Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden.
authors.forename: A
authors.initials: A
authors.lastname: Kantian
authors.affiliation: Department für Physik and Arnold-Sommerfeld-Centre for Theoretical Physics, LMU München, Theresienstrasse 37, 80333 München, Germany.
authors.forename: U
authors.initials: U
authors.lastname: Schollwöck
authors.affiliation: DQMP, University of Geneva, 24 Quai Ernest-Ansermet, 1211 Geneva, Switzerland.
authors.forename: T
authors.initials: T
authors.lastname: Giamarchi