Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems

By Maciej Lewenstein, Anna Sanpera, V. Ahufinger. 2012

758 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/565c9562299359c27e6a2e42454c613858b25512

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Citations in the corpus

Topological quantum matter with ultracold gases in optical lattices (2016, methodology): “In the case of a deep lattice, the dynamics of the atoms is well captured by the Hubbard Hamiltonian6,7, a familiar model for a single electronic band, Ĥ=−J ∑ 〈m,n〉 â†mân+ Ûint (1) where â†m (ân) creates an atom at lattice site m (annihilates an atom at lattice site n), J denotes the constant ”
Applied Bohmian mechanics (2014, background): “ysics of ultracold atoms comes from both academic and practical perspectives. Ultracold atoms have become a fundamental system to test the principles of quantum mechanics and condensed-matter physics [26], e.g., for understanding quantum phase transitions, bosonic super uidity, manybody spin dynamic”
Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories (2013, background): “Quantum simulators have been constructed using ultracold atoms in optical lattices [23, 24], trapped ions [25],”
Colloquium: Strong-field phenomena in periodic systems (2017, background): “…artificial periodic structures, such as semiconductor superlattices (Ivchenko and Pikus, 1997; Leo, 2003; Tsu, 2011) and optical lattices (Bloch, 2005; Gardiner and Zoller, 2014; Lewenstein et al., 2012), where similar physical processes take place under conditions more convenient for experiments.”
Atoms in complex twisted light (2018, background): “condensed matter [262] paving the way to the demonstration of exotic topological phases”
Single-Atom Trapping in Holographic 2D Arrays of Microtraps with Arbitrary Geometries (2014, background): “Optical trapping of cold atoms [1] allows for a variety of applications, from the study of quantum gases [2] to the manipulation of single atoms [3].”
Bounds on the capacity and power of quantum batteries (2018, methodology): “[29]), are (i) integrable spin models in 1D with ultracold fermionic atoms, (ii) the Lipkin-Meshkov-Glick (LMG) model with ultracold atoms or atoms near nanostructures, and (iii) Dicke model with ultracold ions, BEC in an optical cavity, or cavity circuit QED.”
Quantum simulation of the Hubbard model with ultracold fermions in optical lattices (2018, unknown): “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 trajectories and open many-body quantum systems (2014, background): “An example of this are low-temperature states of the fermionic Hubbard model, which can be engineered in optical lattices [76,77].”
Thermometry in the quantum regime: recent theoretical progress (2018, background): “ in the quantum regime is essential for any application. Clear examples are ultracold atoms or ions acting as quantum simulators of condensed matter physics, quantum chemistry, or high energy physics [240,134]; quantum processors in cold-ion platforms, where the initialisation near the motional grou”
Engineering Ising-XY spin-models in a triangular lattice using tunable artificial gauge fields (2013, background): “Ultracold bosonic quantum gases in optical lattices, on the other hand, constitute a highly versatile system with an extraordinary degree of control [10, 11].”