Resolving a Discrepancy between Liouvillian Gap and Relaxation Time in Boundary-Dissipated Quantum Many-Body Systems

Takashi Mori*, Tatsuhiko Shirai

*この研究の対応する著者

研究成果査読

5 被引用数 (Scopus)

抄録

The gap of the Liouvillian spectrum gives the asymptotic decay rate of a quantum dissipative system, and therefore its inverse has been identified as the slowest relaxation time. Contrary to this common belief, we show that the relaxation time due to diffusive transports in a boundary dissipated many-body quantum system is determined not by the gap or low-lying eigenvalues of the Liouvillian but by superexponentially large expansion coefficients for Liouvillian eigenvectors with nonsmall eigenvalues at an initial state. This finding resolves an apparent discrepancy reported in the literature between the inverse of the Liouvillian gap and the relaxation time in dissipative many-body quantum systems.

本文言語English
論文番号230604
ジャーナルPhysical Review Letters
125
23
DOI
出版ステータスPublished - 2020 12 2

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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