In this Rapid Communication we propose realistic schemes to realize topologically nontrivial Floquet states by shaking optical lattices, using both the one-dimensional lattice and two-dimensional honeycomb lattice as examples. The topological phase in the two-dimensional model exhibits quantum anomalous Hall effect. The transition between topological trivial and nontrivial states can be easily controlled by both shaking frequency and shaking amplitude. Our schemes have two major advantages. First, both the static Hamiltonian and the shaking scheme are sufficiently simple to implement. Secondly, it requires relatively small shaking amplitude and therefore heating can be minimized. These two advantages make our schemes much more practical.In this Rapid Communication we propose realistic schemes to realize topologically nontrivial Floquet states by shaking optical lattices, using both the one-dimensional lattice and two-dimensional honeycomb lattice as examples. The topological phase in the two-dimensional model exhibits quantum anomalous Hall effect. The transition between topological trivial and nontrivial states can be easily controlled by both shaking frequency and shaking amplitude. Our schemes have two major advantages. First, both the static Hamiltonian and the shaking scheme are sufficiently simple to implement. Secondly, it requires relatively small shaking amplitude and therefore heating can be minimized. These two advantages make our schemes much more practical.

arXiv:1402.4034Physical Review AJun 27, 2014155 citations

Quantum State Preparation In Optical Lattices

Jessen

Quantum Electronics and Laser Science ConferenceJan 1, 19970 citations

Generating and verifying graph states for fault-tolerant topological measurement-based quantum computing in two-dimensional optical lattices

Jaewoo Joo, Emilio Alba, Juan José García‐Ripoll +1 more

We propose two schemes for implementing graph states useful for fault-tolerant topological measurement-based quantum computation in two-dimensional (2D) optical lattices. We show that bilayer cluster and surface-code states can be created by global single-row and controlled- $Z$ operations. The schemes benefit from the accessibility of atom addressing on 2D optical lattices and the existence of an efficient verification protocol which allows us to ensure the experimental feasibility of measuring the fidelity of the system against the ideal graph state. The simulation results show potential for a physical realization toward fault-tolerant measurement-based quantum computation against dephasing and unitary phase errors in optical lattices.We propose two schemes for implementing graph states useful for fault-tolerant topological measurement-based quantum computation in two-dimensional (2D) optical lattices. We show that bilayer cluster and surface-code states can be created by global single-row and controlled-$Z$ operations. The schemes benefit from the accessibility of atom addressing on 2D optical lattices and the existence of an efficient verification protocol which allows us to ensure the experimental feasibility of measuring the fidelity of the system against the ideal graph state. The simulation results show potential for a physical realization toward fault-tolerant measurement-based quantum computation against dephasing and unitary phase errors in optical lattices.

arXiv:1207.0253Physical Review AJul 26, 20134 citations

Quantum State Preparation In Optical Lattices

Ivan Deutsch, Poul Jessen

May 18, 19971 citation

Z

operations. The schemes benefit from the accessibility of atom addressing on 2D optical lattices and the existence of an efficient verification protocol which allows us to ensure the experimental feasibility of measuring the fidelity of the system against the ideal graph state. The simulation results show potential for a physical realization toward fault-tolerant measurement-based quantum computation against dephasing and unitary phase errors in optical lattices.