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Scientific article
Open access
English

Signatures of Liouvillian Exceptional Points in a Quantum Thermal Machine

Published inPRX quantum, vol. 2, no. 4, 040346
Publication date2021-12-06
First online date2021-12-06
Abstract

Viewing a quantum thermal machine as a non-Hermitian quantum system, we characterize in full generality its analytical time-dependent dynamics by deriving the spectrum of its non-Hermitian Liouvillian for an arbitrary initial state. We show that the thermal machine features a number of Liouvillian exceptional points (EPs) for experimentally realistic parameters, in particular, a third-order exceptional point that leaves signatures both in short- and long-time regimes. Remarkably, we demonstrate that this EP corresponds to a regime of critical decay for the quantum thermal machine towards its steady state, bearing a striking resemblance with a critically damped harmonic oscillator. These results open up exciting possibilities for the precise dynamical control of quantum thermal machines exploiting exceptional points from non-Hermitian physics and are amenable to state-of-the-art solid-state platforms such as semiconducting and superconducting devices.

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Keywords
  • Oscillator, harmonic
  • Thermal
  • Exceptional
  • Signature
  • Initial state
  • Superconductivity
  • Time dependence
Research group
Citation (ISO format)
KHANDELWAL, Shishir, BRUNNER, Nicolas, HAACK, Géraldine. Signatures of Liouvillian Exceptional Points in a Quantum Thermal Machine. In: PRX quantum, 2021, vol. 2, n° 4, p. 040346. doi: 10.1103/PRXQuantum.2.040346
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Article (Published version)
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ISSN of the journal2691-3399
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