Even-odd correlation functions on an optical lattice

Kapit, Eliot; Mueller, Erich J.

doi:10.1103/physreva.82.013644

Cited by 7 publications

(6 citation statements)

References 28 publications

(23 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Measuring the parities at different lattice sites and averaging over many experimental realizations allows to determine the parity correlation function [199] …”

Section: Fluorescence Imagingmentioning

confidence: 99%

See 1 more Smart Citation

Ultracold bosons with short-range interaction in regular optical lattices

2016

View full text Add to dashboard Cite

During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different types of the bosonic systems in homogeneous lattices of different dimensions as well as in the presence of harmonic traps are considered. An overview of the theoretical methods used for these investigations as well as of the obtained results is given. Available experimental techniques are presented and discussed in connection with theoretical considerations. Eigenstates of the interacting bosons in homogeneous lattices and in the presence of harmonic confinement are analyzed. Their knowledge is essential for understanding of quantum phase transitions at zero and finite temperature.

show abstract

“…Measuring the parities at different lattice sites and averaging over many experimental realizations allows to determine the parity correlation function [199] …”

Section: Fluorescence Imagingmentioning

confidence: 99%

“…[199]. A multi-point generalization of the two-point parity correlation function F (−1) n (l 1 , l 2 ), a so-called string correlator defined by Eq.…”

Section: Ground State In the Case Of Commensurate Fillingmentioning

confidence: 99%

Ultracold bosons with short-range interaction in regular optical lattices

2016

View full text Add to dashboard Cite

show abstract

“…As a consequence, the appearance of a number fluctuation on a given site leads to an enhanced probability to find a fluctuation on a close-by site. This behavior is captured in a two-site parity-correlation function [25,46] C p (d) = ŝk ŝk+d − ŝk ŝk+d .…”

Section: Two-site Parity-correlation Functionsmentioning

confidence: 99%

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

et al. 2013

View full text Add to dashboard Cite

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 insitu 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. arXiv:1303.5652v1 [cond-mat.quant-gas]

show abstract

“…In addition to the number statistics studied in this work, single-site imaging could be applied to study spatial correlations in strongly correlated quantum gases [33], and to directly measure entanglement in a quantum information context. The low defect Mott states we detect would provide an ideal starting point for quantum magnetism experiments; if the low entropy in the Mott domains can be carried over to spin models, it should be possible to realize magnetically ordered states such as antiferromagnets, which could be directly detected with single-site imaging.…”

mentioning

confidence: 99%