A toolbox for lattice-spin models with polar molecules

By A. Micheli, Gavin K. Brennen, Peter Zoller. 2005

815 citations recorded by the source corpus.

There is growing interest in states of matter with topological order. These are characterized by highly stable ground states robust to perturbations that preserve the topology, and which support excitations with so-called anyonic statistics. Topologically ordered states can arise in two-dimensional lattice-spin models, which were proposed as the basis for a new class of quantum computation. Here, we show that the relevant hamiltonians for such spin lattice models can be systematically engineered with polar molecules stored in optical lattices, where the spin is represented by a single-valence electron of a heteronuclear molecule. The combination of microwave excitation with dipole–dipole interactions and spin–rotation couplings enables building a complete toolbox for effective two-spin interactions with designable range, spatial anisotropy and coupling strengths significantly larger than relevant decoherence rates. Finally, we illustrate two models: one with an energy gap providing for error-resilient qubit encoding, and another leading to topologically protected quantum memory.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/161cf03e9affbf2c9b0857eb8c352a499fbf11cd

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Exploring topological phases with quantum walks (2010, methodology): “[43] Micheli, A.”
A large-scale quantum simulator on a diamond surface at room temperature (2012, background): “Note that quantum simulation of similar models with polar molecules in optical lattices have been proposed [42, 43] and numerically studied in [44, 45] for long range repulsive dipole interaction (Vij).”
Quantum Simulation (2013, methodology): “Topological models have also been investigated in (Brennen et al., 2009; Freedman et al., 2002; Kitagawa, 2012; Micheli et al., 2006; Stanescu et al., 2009; Xue, 2011).”
Quantum many-body models with cold atoms coupled to photonic crystals (2013, methodology): “To check the validity of our theoretical model given by equation (4), we use a parameter of α = 10.”
Molecules cooled below the Doppler limit (2017, background): “These ultracold molecules could be loaded into optical tweezers to trap arbitrary arrays [10] for quantum simulation [11], launched into a molecular fountain [12, 13] for testing fundamental physics [14–16], and used to study ultracold collisions and ultracold chemistry [17].”
Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems (2012, background): “, 2010) [or polar molecules (Micheli et al., 2006)] have been explored for the realization of quantum-gate operations due to their large dipole-dipole interactions.”
Subwavelength vacuum lattices and atom–atom interactions in two-dimensional photonic crystals (2014, neutral): “By contrast, when Δβ < 0, Γ β ij are purely imaginary: Γ β ij|Δβ<0 = iJ β ij , with J ij as defined in equation (3).”
Cold and ultracold molecules: science, technology and applications (2009, methodology): “Indeed, ultracold molecules will open important scientific directions such as precise control of chemical reactions [53, 54, 55], study of novel dynamics in low-energy collisions [56], long-range collective quantum effects and quantum phase transitions [57, 58, 59, 41, 42], and tests of fundamental ”
Schrieffer-Wolff transformation for quantum many-body systems (2011, methodology): “This makes the SW method suitable for analysis of experimental implementations of perturbation gadgets with cold atoms in optical lattices, see [25, 26].”