Optomechanical realization of the bosonic Kitaev-Majorana chain

Abstract

The fermionic Kitaev chain is a canonical model featuring topological Majorana zero modes. We report the experimental realization of its bosonic analogue in a nano-optomechanical network where parametric interactions induce two-mode squeezing and beamsplitter coupling among the nanomechanical modes, equivalent to hopping and superconductor pairing in the fermionic case, respectively. We observe several extraordinary phenomena in the bosonic dynamics and transport, including quadrature-dependent chiral amplification, exponential scaling of the gain with system size, and strong sensitivity to boundary conditions. Controlling the interaction phases and amplitudes uncovers a rich dynamical phase diagram that links the observed phenomena to non-Hermitian topological phase transitions. Finally, we present an experimental demonstration of an exponentially enhanced response to a small perturbation as a consequence of non-Hermitian topology. These results represent the demonstration of a novel synthetic phase of matter whose bosonic dynamics do not have fermionic parallels, and establish a powerful system to study non-Hermitian topology and its applications in signal manipulation and sensing.

21 pages, 5 figures

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Cited by in corpus (28)

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• The non-Hermitian skin effect: A perspective
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• Hidden zero modes and topology of multiband non-Hermitian systems
• Universal scaling of Green's functions in disordered non-Hermitian systems
• The Interplay of Finite and Infinite Size Stability in Quadratic Bosonic Lindbladians
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• Hidden exceptional point, localization-delocalization phase transition in Hermitian bosonic Kitaev model
• Demonstration of a Tunable Non-Hermitian Nonlinear Microwave Dimer
• Photon counting statistics in Gaussian bosonic networks
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Non-hermitian topology and entanglement in an optomechanical superlattice
• From Chiral Topological Dynamics to Chiral Topological Amplification: Real vs Imaginary Parameters in a Hermitian Bosonic Chain
• Unifying Anderson transitions and topological amplification in non-Hermitian chains
• Probing quantum phase transition in a staggered Bosonic Kitaev chain via layer-resolved localization-delocalization transition
• Higher order coherence as witness of exceptional point in Hermitian bosonic Kitaev dimer
• Topological Amplification of the Bosonic Kitaev Chain with Non-Uniform Loss
• Bosonic Holes in Quadratic Bosonic Systems
• Manipulating Topological Polaritons in Optomechanical Ladders
• Zero and Nonzero Energy Majorana Modes in an Extended Kitaev Chain
• Hierarchic superradiant phases in anisotropic Dicke model
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• Ferroelectricity in a magnon Bose-Einstein condensate: Nonreciprocal superfluidity, exceptional points, and Majorana bosons
• Scaling of Quantum Geometry Near the Non-Hermitian Topological Phase Transitions
• Braiding of dynamical eigenvalues of Hermitian bosonic Kitaev chains
• Nonreciprocal flow of fluctuations, populations and correlations between doubly coupled bosonic modes