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      Dynamics in non-Hermitian systems with nonreciprocal coupling

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          Abstract

          We reveal that non-Hermitian Hamiltonians with nonreciprocal coupling can achieve amplification of initial states without external gain due to a kind of inherent source. We discuss the source and its effect on time evolution in terms of complex eigenenergies and non-orthogonal eigenstates. Demonstrating two extreme cases of Hamiltonians, namely one having complex eigenenergies with orthogonal eigenstates and one having real eigenenergies with non-orthogonal eigenstates, we elucidate the differences between the amplifications from complex eigenenergies and from non-orthogonal eigenstates.

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          Author and article information

          Journal
          22 July 2023
          Article
          2307.12021
          7396c14f-aebb-43d5-a0ca-03fa25181881

          http://creativecommons.org/licenses/by/4.0/

          History
          Custom metadata
          8 pages, 5 figures
          quant-ph

          Quantum physics & Field theory
          Quantum physics & Field theory

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