Direct measurement of topological numbers with spins in diamond
arXiv:1604.04757 · doi:10.1103/PhysRevLett.117.060503
Abstract
Topological numbers can characterize the transition between different topological phases, which are not described by Landau's paradigm of symmetry breaking. Since the discovery of quantum Hall effect, more topological phases have been theoretically predicted and experimentally verified. However, it is still an experimental challenge to directly measure the topological number of various predicted topological phases. In this paper, we demonstrate quantum simulation of topological phase transition of a quantum wire (QW) using a single nitrogen-vacancy (NV) center in diamond. Deploying quantum algorithm of finding eigenvalues, we can reliably extract both the dispersion relations and topological numbers.
References in corpus (5)
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Dynamic polarization of single nuclear spins by optical pumping of NV color centers in diamond at room temperature
- Observation of topological transitions in interacting quantum circuits
- Measuring a topological transition in an artificial spin 1/2 system
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Cited by in corpus (20)
- Introduction to Quantum Optimal Control for Quantum Sensing with Nitrogen-Vacancy Centers in Diamond
- Noisy intermediate-scale quantum computers
- Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
- Experimental Adiabatic Quantum Factorization under Ambient Conditions Based on a Solid-State Single Spin System
- Observation of topological links associated with Hopf insulators in a solid-state quantum simulator
- Dynamically Polarizing Spin Register of NV Centers in Diamond using Chopped Laser Pulses
- Unified characterization for higher-order topological phase transitions
- Quantum state tomography of a single electron spin in diamond with Wigner reconstruction
- Optimisation of diamond quantum processors
- Nitrogen-Vacancy Center as Open-Quantum-System Simulator
- Mixed-signal data acquisition system for optically detected magnetic resonance of solid-state spins
- Chiral spin currents in a trapped-ion quantum simulator using Floquet engineering
- Observation of spin-tensor induced topological phase transitions of triply degenerate points with a trapped ion
- Topological Insulators with Hybrid-order Boundary States
- Unveiling Higher-Order Topology via Polarized Topological Charges
- Entanglement Distribution in Star Network Based on Spin Chain in Diamond
- Experimental Preparation of Topologically Ordered States via Adiabatic Evolution
- Pulse-width-induced polarization enhancement of optically-pumped N-V electron spin in diamond
- Simulating a Topological Transition in a Superconducting Phase Qubit by Fast Adiabatic Trajectories
- Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator