The cold atom Hubbard toolbox

By Dieter Jaksch, Peter Zoller. 2004

830 citations recorded by the source corpus.

Abstract We review recent theoretical advances in cold atom physics concentrating on strongly correlated cold atoms in optical lattices. We discuss recently developed quantum optical tools for manipulating atoms and show how they can be used to realize a wide range of many body Hamiltonians. Then, we describe connections and differences to condensed matter physics and present applications in the fields of quantum computing and quantum simulations. Finally, we explain how defects and atomic quantum dots can be introduced in a controlled way in optical lattice systems.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9aab60bcc7ac49a4f13bee541fd6f5adbcd64783

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Dynamics of Bose-Einstein condensates in optical lattices (2006, background): “The amount of literature on this system alone is so large that we refer the interested reader to more specialized reviews3 Bloch, 2005; Jaksch and Zoller, 2005 .”
Spin- 1 ∕ 2 particles moving on a two-dimensional lattice with nearest-neighbor interactions can realize an autonomous quantum computer (2005, background): “which is a usual hopping term (as it appears in Hubbard models [28]) annihilating the atom at a certain position and creating it at the right or left neighboring site in the same row.”
Lattice gauge theory simulations in the quantum information era (2016, background): “The key properties of cold atom settings is the ample degree of flexibility and tunability [22]: various lattice geometries can be realised; both Fermi and Bose gases can be loaded into the lattices themselves [18,21]; the inter particle interactions can be tailored by using external fields either u”
Dynamics of non-Markovian open quantum systems (2015, background): “This behavior can also be found when a quantum dot is coupled to a superfluid reservoir via laser transitions (Jaksch and Zoller, 2005; Recati et al., 2005), when a quantum dot is coupled to a BEC in a double-well potential (Sokolovski and Gurvitz, 2009), or when atoms trapped in an optical lattice…”
Nobel Lecture: Controlling photons in a box and exploring the quantum to classical boundary (2013, background): “Quantum simulators emulating condensed matter structures and dynamics with arrays of atoms in optical lattices (Jaksch and Zoller, 2005) or ions in traps (Schneider, Porras, and Schaetz, 2012) seem more realistic.”
A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice (2009, background): “In Hubbard-regime optical lattice systems an atomic quantum gas resides in a multi-dimensional array of lattice sites 10 .”
Quantum trajectories and open many-body quantum systems (2014, background): “Because J depends exponentially on the depth of the lattice, it is relatively straight-forward to make tunnelling timescales very long indeed [211].”
Fermionic transport and out-of-equilibrium dynamics in a homogeneous Hubbard model with ultracold atoms (2012, background): “For a theoretical description it is essential to realize that the diffusion equation (equation (1)) is highly singular.”
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).”
Strongly interacting polaritons in coupled arrays of cavities (2006, background): “These artificial systems could act as quantum simulators, where the dynamics of a rather complex hamiltonian can be simulated in an experiment by either creating the hamiltonian in question, or Trotter decomposing the evolution into small steps, where the dynamics of each step is generated by a much”
Non-Abelian Anyons and Topological Quantum Computation (2007, methodology): “For instance, there is a specific scheme for realizing the Hubbard model (Jaksch and Zoller, 2005) in this way.”