Experimental implementation of adiabatic passage between different topological orders

Abstract

Topological orders are exotic phases of matter existing in strongly correlated quantum systems, which are beyond the usual symmetry description and cannot be distinguished by local order parameters. Here we report an experimental quantum simulation of the Wen-plaquette spin model with different topological orders in a nuclear magnetic resonance system, and observe the adiabatic transition between two $Z_2$ topological orders through a spin-polarized phase by measuring the nonlocal closed-string (Wilson loop) operator. Moreover, we also measure the entanglement properties of the topological orders. This work confirms the adiabatic method for preparing topologically ordered states and provides an experimental tool for further studies of complex quantum systems.

5 pages, 4 figures + Supplementary Materials; Accepted in Phys. Rev. Lett. (2014)

References in corpus (31)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Quantum Simulation
• Topological entanglement entropy
• Detecting topological order in a ground state wave function
• Topological quantum memory
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• A toolbox for lattice spin models with polar molecules
• Topological orders and Edge excitations in FQH states
• Towards Quantum Chemistry on a Quantum Computer
• Quantum orders in an exact soluble model
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Realization of 2D Spin-orbit Interaction and Exotic Topological Orders in Cold Atoms
• Experimental demonstration of topological error correction
• Topologically protected quantum bits from Josephson junction arrays
• Quantum simulation of a system with competing two- and three-body interactions
• Quantum simulation of a three-body interaction Hamiltonian on an NMR quantum computer
• Demonstrating anyonic fractional statistics with a six-qubit quantum simulator
• Quantum Phase Transition of Ground-state Entanglement in a Heisenberg Spin Chain Simulated in an NMR Quantum Computer
• Quantum order from string-net condensations and origin of light and massless fermions
• Adiabatic Preparation of Topological Order
• Entanglement, fidelity and topological entropy in a quantum phase transition to topological order
• Anyonic interferometry and protected memories in atomic spin lattices
• NMR quantum simulation of localization effects induced by decoherence
• Topological states and braiding statistics using quantum circuits
• Simulation of chemical reaction dynamics on an NMR quantum computer
• Preparation of pseudo-pure states by line-selective pulses in Nuclear Magnetic Resonance
• Experimental simulation of anyonic fractional statistics with an NMR quantum information processor
• Macroscopic Quantum Tunneling Effect of Z2 Topological Order

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