Encircling exceptional points as a non-Hermitian extension of rapid adiabatic passage

Abstract

The efficient transfer of excitations between different levels of a quantum system is a task with many applications. Among the various protocols to carry out such a state transfer in driven systems, rapid adiabatic passage (RAP) is one of the most widely used. Here we show both theoretically and experimentally that adding a suitable amount of loss to the driven Hamiltonian turns a RAP protocol into a scheme for encircling an exceptional point including the chiral state transfer associated with it. Our work thus discloses an intimate connection between a whole body of literature on RAP and recent studies on the dynamics in the vicinity of an exceptional point, which we expect to serve as a bridge between the disjoint communities working on these two scenarios.

5 pages, 4 figures in main text; 14 pages supplementary material

References in corpus (4)

• The physics of exceptional points
• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• Chiral state-conversion without encircling an exceptional point
• Simulation of Electron Transport through a Quantum Dot with Soft Walls

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• Coherent control of magnon-polaritons using an exceptional point
• Shortcuts to adiabatic state transfer in time-modulated two-level non-Hermitian systems
• Universal quantum control by non-Hermitian Hamiltonian
• Optimal population transfer using the adiabatic rapid passage in the presence of drive-induced dissipation
• Enhanced quantum sensing in time-modulated non-Hermitian systems
• Topological eigenvalues braiding and quantum state transfer near a third-order exceptional point
• Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model
• Recent advances in the combination of nonlinearity and exceptional points
• Multi-block exceptional points in open quantum systems
• Experimental Realization of Non-Abelian Permutations in a Three-State Non-Hermitian System
• Enantiosensitive exceptional points in open chiral systems
• Spectral branch points of the Bloch-Torrey operator
• Distance between exceptional points and diabolic points and its implication for the response strength of non-Hermitian systems