Observation of non-Hermitian topology with non-unitary dynamics of solid-state spins

Abstract

Non-Hermitian topological phases exhibit a number of exotic features that have no Hermitian counterparts, including the skin effect and breakdown of the conventional bulk-boundary correspondence. Here, we implement the non-Hermitian Su-Schrieffer-Heeger (SSH) Hamiltonian, which is a prototypical model for studying non-Hermitian topological phases, with a solid-state quantum simulator consisting of an electron spin and a ${}^{13}$C nuclear spin in a nitrogen-vacancy (NV) center in a diamond. By employing a dilation method, we realize the desired non-unitary dynamics for the electron spin and map out its spin texture in the momentum space, from which the corresponding topological invariant can be obtained directly. Our result paves the way for further exploiting and understanding the intriguing properties of non-Hermitian topological phases with solid-state spins or other quantum simulation platforms.

10 pages, 6 figures

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Cited by in corpus (53)

• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Noisy intermediate-scale quantum computers
• Many-body topology of non-Hermitian systems
• Hybrid skin-topological modes without asymmetric couplings
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Experimental identification of the second-order non-Hermitian skin effect with physics-graph-informed machine learning
• Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
• Dissipative Floquet Dynamical Quantum Phase Transition
• Experimental Demonstration of Controllable PT and anti-PT Coupling in a non-Hermitian Metamaterial
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Exceptional entanglement phenomena: non-Hermiticity meeting non-classicality
• Observation of topological Euler insulators with a trapped-ion quantum simulator
• Bulk-boundary correspondence in point-gap topological phases
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Quantum Simulation of the Bosonic Kitaev Chain
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Non-Hermitian Absorption Spectroscopy
• Manipulating non-Hermitian skin effect via electric fields
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• Non-Hermitian Weyl semimetal and its Floquet engineering
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
• Measuring topological invariants for higher-order exceptional points in quantum three-mode systems
• Anomalous topological edge modes in a periodically-driven trimer lattice
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Observation of non-local impedance response in a passive electrical circuit
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices
• Experimental demonstration of adversarial examples in learning topological phases
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Quantum tomography of a third-order exceptional point in a dissipative trapped ion
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Yang-Lee Zeros in Quantum Phase Transition: An Entanglement Perspective
• Magnetic Bloch oscillations in a non-Hermitian quantum Ising chain
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• Electron-spin double resonance of nitrogen-vacancy centers in diamond under strong driving field
• Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
• Real-time edge dynamics of non-Hermitian lattices
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• Nonadiabatic transitions in non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric two-level systems
• Implementation and topological characterization of Weyl exceptional rings in quantum-mechanical systems
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Topological spin textures in electronic non-Hermitian systems
• Non-Hermitian Hopf insulators
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• PT-symmetric Non-Hermitian Hopf Metal
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