A Caltech Library Service

Single-site- and single-atom-resolved measurement of correlation functions

Endres, M. and Cheneau, M. and Fukuhara, T. and Weitenberg, C. and Schauß, P. and Gross, C. and Mazza, L. and Bañuls, M. C. and Pollet, L. and Bloch, I. and Kuhr, S. (2013) Single-site- and single-atom-resolved measurement of correlation functions. Applied Physics B: Lasers and Optics, 113 (1). pp. 27-39. ISSN 0946-2171.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


Correlation functions play an important role for the theoretical and experimental characterization of many-body systems. In solid-state systems, they are usually determined through scattering experiments, whereas in cold gases systems, time-of-flight, and in situ absorption imaging are the standard observation techniques. However, none of these methods allow the in situ detection of spatially resolved correlation functions at the single-particle level. Here, we give a more detailed account of recent advances in the detection of correlation functions using in situ fluorescence imaging of ultracold bosonic atoms in an optical lattice. This method yields single-site- and single-atom-resolved images of the lattice gas in a single experimental run, thus gaining direct access to fluctuations in the many-body system. As a consequence, the detection of correlation functions between an arbitrary set of lattice sites is possible. This enables not only the detection of two-site correlation functions but also the evaluation of non-local correlations, which originate from an extended region of the system and are used for the characterization of quantum phases that do not possess (quasi-)long-range order in the traditional sense.

Item Type:Article
Related URLs:
URLURL TypeDescription ReadCube access Paper
Endres, M.0000-0002-4461-224X
Additional Information:© 2013 Springer-Verlag Berlin Heidelberg. Published online: 2 August 2013. We thank Jacob Sherson for his contribution to the experimental setup. We acknowledge helpful discussions with Ehud Altman, Emanuele Dalla Torre, Matteo Rizzi, Ignacio Cirac, Andrew Daley, Peter Zoller, Steffen Patrick Rath, Wolfgang Simeth and Wilhelm Zwerger. This work was supported by MPG, DFG, EU (NAMEQUAM, AQUTE, Marie Curie Fellowship to M.C.), and JSPS (Postdoctoral Fellowship for Research Abroad to T.F.). LM acknowledges the economical support from Regione Toscana, POR FSE 2007–2013. DMRG simulations were performed using code released within the PwP project (
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)UNSPECIFIED
European Research Council (ERC)UNSPECIFIED
Marie Curie FellowshipUNSPECIFIED
Japan Society for the Promotion of Science (JSPS)UNSPECIFIED
Regione ToscanaPORFSE 2007-2013
Issue or Number:1
Record Number:CaltechAUTHORS:20160526-145805570
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67408
Deposited By: Ruth Sustaita
Deposited On:27 May 2016 19:10
Last Modified:30 Oct 2019 19:29

Repository Staff Only: item control page