2017/10/10 by Manaka Okuyama, Masayuki Ohzeki · 1 citation
Physics and Astronomy · #quant-ph #physics.class-ph
paper · pdf · doi:10.1103/physrevlett.120.070402
published as Phys. Rev. Lett. 120, 070402 (2018) · 6 pages, 0 figure
arxiv created 2017/10/10 · arxiv updated 2018/02/15
The quantum speed limit (QSL), or the energy-time uncertainty relation, describes the fundamental maximum rate for quantum time evolution and has been regarded as being unique in quantum mechanics. In this study, we obtain a classical speed limit corresponding to the QSL using the Hilbert space for the classical Liouville equation. Thus, classical mechanics has a fundamental speed limit, and QSL is not a purely quantum phenomenon but a universal dynamical property of the Hilbert space. Furthermore, we obtain similar speed limits for the imaginary-time Schroedinger equations such as the master equation.