Amplification of quantum signals by the non-Hermitian skin effect

Abstract

The non-Hermitian skin effect (NHSE) is a phenomenon whereby certain non-Hermitian lattice Hamiltonians, particularly those with nonreciprocal couplings, can host an extensive number of eigenmodes condensed to the boundary, called skin modes. Although the NHSE has mostly been studied in the classical regime, we show that it can also manifest in quantum systems containing boson number nonconserving processes arising from uniform parametric driving. We study lattices of coupled nonlinear resonators that can function as reciprocal quantum amplifiers. A one-dimensional chain exhibiting NHSE can perform strong photon amplification, aided by the skin modes, that scales exponentially with the chain length and outperforms alternative lattice configurations that lack the NHSE. We show also that two-dimensional nonlinear lattices can perform directional photon amplification between different lattice corners, due to the two-dimensional NHSE.

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Cited by in corpus (14)

• Non-Hermitian Photonic Lattices: tutorial
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• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Experimental speedup of quantum dynamics through squeezing
• Nonreciprocal Amplification Transition in a Driven-Dissipative Quantum Network
• Quantum theory of non-Hermitian optical binding between nanoparticles
• Quantum-Classical Correspondence of Non-Hermitian Symmetry Breaking
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• Topological phase transition in fluctuating imaginary gauge fields
• Quantum Signatures of Topological Phase in Bosonic Quadratic System
• Coherent control of levitated nanoparticles via dipole-dipole interaction
• Non-Hermitian topology of transport in the quantum Hall phases in graphene
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field