Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

2006/06/30 by Maciej Lewenstein, Anna Sanpera, V. Ahufinger +6 · 2,121 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Optical lattice #Physics #Quantum #Quantum mechanics #Quantum, superfluid, helium dynamics #Superfluidity #Theoretical physics #Ultracold atom #cond-mat.other #quant-ph

paper · pdf · doi:10.1080/00018730701223200

published in Advances In Physics 56(2), 243-379 (Taylor & Francis) · Review article. v2: published version, 135 pages, 34 figures

openalex publication_date 2007/03/01 · arxiv created 2007/05/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We review recent developments in the physics of ultracold atomic and molecular gases in optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard models, and as such may very well serve to mimic condensed matter phenomena. We show how these systems may be employed as quantum simulators to answer some challenging open questions of condensed matter, and even high energy physics. After a short presentation of the models and the methods of treatment of such systems, we discuss in detail, which challenges of condensed matter physics can be addressed with (i) disordered ultracold lattice gases, (ii) frustrated ultracold gases, (iii) spinor lattice gases, (iv) lattice gases in “artificial” magnetic fields, and, last but not least, (v) quantum information processing in lattice gases. For completeness, also some recent progress related to the above topics with trapped cold gases will be discussed. Motto: There are more things in heaven and earth, Horatio, Than are dreamt of in your philosophy Citation1

Citations

• The theory of impurity conduction
• Two soluble models of an antiferromagnetic chain
• Anyons in an exactly solved model and beyond

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