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

2007/03/01 by Maciej Lewenstein, Anna Sanpera, V. Ahufinger +5 · 55 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Atomic and Subatomic Physics Research

paper · doi:10.1080/00018730701223200

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.

Citations

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

Cited by

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• Topological phases of bosons with local parity coupling on a dimerized lattice
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• Quantum-enhanced measurements without entanglement
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• Full Quantum Work Statistics for Non-Homogeneous Many-Body Systems
• Integrable construction of a two-dimensional lattice model with anisotropic Hubbard couplings
• Trion ordering in the attractive three-color Hubbard model on a π-flux square lattice
• Influence of Dzyaloshinshkii-Moriya interaction on quantum correlations in two qubit Werner states and MEMS
• Roundtable: What can we learn about confinement and anomalous effects in QCD using analog systems?
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• Ground states of the Ising model at fixed magnetization on a triangular ladder with three-spin interactions
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• The Mathematics of Entanglement
• Dimensional crossover of bound complexes in a two-species Bose-Hubbard lattice: Correlations and dynamics
• Macroscopic quantum tunneling escape of Bose-Einstein condensates
• Accurate simulation and thermal tuning by temperature-adaptive boundary interactions on quantum many-body systems
• Testing of spin ordering Hamiltonian with ultracold atoms in optical lattices
• Fast quantum algorithms for traversing paths of eigenstates
• Quantum spin-tensor Hall effect protected by pseudo time-reversal symmetry
• Atomtronic routing of dipolar bosons in a four-well star potential
• One-Dimensional Quantum Systems - From Few to Many Particles
• Nonequilibrium quantum dynamics of partial symmetry breaking for ultracold bosons in an optical lattice ring trap
• Quantum Atom Optics: Theory and Applications to Quantum Technology
• Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator
• Bose-Einstein condensate sub-wavelength confinement via superoscillations
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• An Exclusion Principle for Sum-Free Quantum Numbers
• Towards quantum simulations of biological information flow. [europepmc]
• Experimental linear-optics simulation of ground-state of an Ising spin chain. [europepmc]
• On the observability of Pauli crystals in experiments with ultracold trapped Fermi gases. [europepmc]
• Quantum simulation of ultrafast dynamics using trapped ultracold atoms. [europepmc]
• Phase diagrams and multistep condensations of spin-1 bosonic gases in optical lattices. [europepmc]
• Symmetry-restoring quantum phase transition in a two-dimensional spinor condensate. [europepmc]
• Twofold correlation spreading in a strongly correlated lattice Bose gas. [europepmc]
• Bad-metal relaxation dynamics in a Fermi lattice gas. [europepmc]
• Critical points of the three-dimensional Bose-Hubbard model from on-site atom number fluctuations. [europepmc]
• Thermal bosons in 3d optical lattices via tensor networks. [europepmc]
• Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction. [europepmc]
• Doublons, topology and interactions in a one-dimensional lattice. [europepmc]
• Evidence for an atomic chiral superfluid with topological excitations. [europepmc]
• Unconventional self-similar Hofstadter superconductivity from repulsive interactions. [europepmc]
• Commensurate and incommensurate 1D interacting quantum systems. [europepmc]
• Anomalous Non-Hermitian Open-Boundary Spectrum. [europepmc]
• Many-body phases from effective geometrical frustration and long-range interactions in a subwavelength lattice. [europepmc]
• Comparative Analysis of Robust Entanglement Generation in Engineered XX Spin Chains. [europepmc]
• Quasi-periodic flat-band model constructed by molecular-orbital representation. [europepmc]

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