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Article Dans Une Revue Entropy Année : 2023

Emulating Non-Hermitian Dynamics in a Finite Non-Dissipative Quantum System

Résumé

We discuss the emulation of non-Hermitian dynamics during a given time window using a low-dimensional quantum system coupled to a finite set of equidistant discrete states acting as an effective continuum. We first emulate the decay of an unstable state and map the quasi-continuum parameters, enabling the precise approximation of non-Hermitian dynamics. The limitations of this model, including in particular short- and long-time deviations, are extensively discussed. We then consider a driven two-level system and establish criteria for non-Hermitian dynamics emulation with a finite quasi-continuum. We quantitatively analyze the signatures of the finiteness of the effective continuum, addressing the possible emergence of non-Markovian behavior during the time interval considered. Finally, we investigate the emulation of dissipative dynamics using a finite quasi-continuum with a tailored density of states. We show through the example of a two-level system that such a continuum can reproduce non-Hermitian dynamics more efficiently than the usual equidistant quasi-continuum model.

Dates et versions

hal-04249884 , version 1 (19-10-2023)

Identifiants

Citer

Eloi Flament, François Impens, David Guéry-Odelin. Emulating Non-Hermitian Dynamics in a Finite Non-Dissipative Quantum System. Entropy, 2023, 25 (9), pp.1256. ⟨10.3390/e25091256⟩. ⟨hal-04249884⟩
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