Photonic chiral state transfer near the Liouvillian exceptional point

Abstract

As branch-point singularities of non-Hermitian matrices, the exceptional points (EPs) exhibit unique spectral topology and criticality, with intriguing dynamic consequences in non-Hermitian settings. In open quantum systems, EPs also emerge in the Liouvillian spectrum, but their dynamic impact often pertains to the transient dynamics and is challenging to demonstrate. Here, using the flexible control afforded by single-photon interferometry, we study the chiral state transfer when the Liouvillian EP is parametrically encircled. Reconstructing the density-matrix evolution by experimentally simulating the quantum Langevin equation, we show that the chirality of the dynamics is only present within an intermediate encircling timescale and dictated by the landscape of the Liouvillian spectrum near the EP. However, the chirality disappears at long times as the system always relaxes to the steady state. We then demonstrate the universal scaling of the chirality with respect to the encircling time. Our experiment confirms the transient nature of chiral state transfer near a Liouvillian EP in open quantum systems, while our scheme paves the way for simulating general open-system dynamics using single photons.

6 pages, 4 figures

References in corpus (11)

• Markovian master equations for quantum thermal machines: local vs global approach
• Quantum jumps in the non-Hermitian dynamics of a superconducting qubit
• Observation of Chiral State Transfer Without Encircling an Exceptional Point
• Decoherence Induced Exceptional Points in a Dissipative Superconducting Qubit
• A thermodynamically consistent Markovian master equation beyond the secular approximation
• Topological quantum state control through exceptional-point proximity
• Exceptional points of the Lindblad operator of a two-level system
• Information retrieval and eigenstates coalescence in a non-Hermitian quantum system with anti-$\mathcal{P}\mathcal{T}$ symmetry
• Chiral Bell-state transfer via dissipative Liouvillian dynamics
• Experimental observation of the Yang-Lee quantum criticality in open systems
• Chiral state transfer under dephasing

Cited by in corpus (5)

• Recent advances in the combination of nonlinearity and exceptional points
• Exploring the topology of a non-Hermitian superconducting qubit using shortcuts to adiabaticity
• Non-Hermiticity induced thermal entanglement phase transition
• Non-Markovian exceptional points in waveguide quantum electrodynamics
• Higher-order Liouvillian exceptional points in the dissipative dynamics of quadratic fermions