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

By Maciej Lewenstein, Anna Sanpera, V. Ahufinger, Bogdan Damski, Aditi Sen(De), Ujjwal Sen. 2006

1,563 citations recorded by the source corpus.

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 1

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/eaa297a60da9e93cab13ada065aaac0797a33fa7

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum-enhanced measurements without entanglement (2017, background): “…et al., 2012; Dowling et al., 2006; Eckert et al., 2002; Ghirardi et al., 2002; Grabowski et al., 2011; Hines et al., 2003; Kraus et al., 2009; Lewenstein et al., 2007; Li et al., 2001; Micheli et al., 2003; Modi et al., 2012; Paskauskas and You, 2001; Schliemann et al., 2001; Schuch et al.,…”
Solitons in nonlinear lattices (2010, background): “…reviewed in several comprehensive articles, as concerns both the mean-field matter-wave dynamics (Brazhnyi and Konotop, 2004; Morsch and Oberthaler, 2006) and properties of strongly correlated ultracold atoms (Jaksch and Zoller, 2005; Lewenstein et al., 2007; Bloch, Dalibard, and Zwerger, 2008).”
Quantum Simulators: Architectures and Opportunities (2019, background): “A paradigmatic example is the fermion Hubbard model [22], which is commonly regarded as a minimal microscopic starting point for describing the physics of a host of solid-state materials, from high-temperature superconductors to frustrated quantum magnets.”
Quantum simulation of the Hubbard model with ultracold fermions in optical lattices (2018, neutral): “It hence provides an almost perfect realization of the crystalline lattice of a real solid that is nearly free of defects and phonons [3,5,31,32].”
Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems (2010, background): “Vast technological developments allowed for recent realizations of such devices in atom”
Dipole blockade in a cold Rydberg atomic sample [Invited] (2010, background): “Finally, with the great experimental control obtained, a many-atomic sample can probably be employed as quantum simulator to answer some challenging open questions of condensed matter [22, 23].”
Cooling in strongly correlated optical lattices: prospects and challenges (2010, methodology): “An in-depth review of proposals can be found in [9]; here, we mention a few areas that lattices are primed to impact.”
Suppression of the critical temperature for superfluidity near the Mott transition (2009, neutral): “Ultracold bosonic atoms in optical lattices have sparked investigations of strongly correlated many-body quantum phases with ultracold atoms [1, 2, 3] that are now at the forefront of current research [4, 5, 6, 7].”
Engineered Open Systems and Quantum Simulations with Atoms and Ions (2012, background): “, 2010; Cirac and Zoller, 2012) involving atoms (Dalibard et al., 2011; Bloch et al., 2008; Lewenstein et al., 2006; Baranov et al., 2012; Bloch et al., 2012), molecules (Carr and Ye, 2009), ions (Blatt and Wineland, 2008; Schneider et al.”
Random Quantum Circuits (2022, background): “Journal of Physics A: Mathematical and Theoretical, 40(28):8081–8108, June 2007.”
Orbital superfluidity in the $P$-band of a bipartite optical square lattice (2010, background): “The successful emulation of the Hubbard model [1] in optical lattices [2, 3] has stimulated world wide efforts to extend their scope to also capture more complex, incompletely understood scenarios of many-body physics [4, 5].”
Search for New Physics with Atoms and Molecules (2017, background): “…not deal with such topics since they are already addressed by other reviews (Bloch et al., 2012, 2008; Georgescu et al., 2014; Goldman et al., 2014; Lewenstein et al., 2007; Stamper-Kurn and Ueda, 2013; Ueda, 2014; Windpassinger and Sengstock, 2013), and constitute a vast subject in their own…”