TY - JOUR
T1 - Speed limit for open quantum systems
AU - Funo, Ken
AU - Shiraishi, Naoto
AU - Saito, Keiji
N1 - Funding Information:
KF was supported by JSPS KAKENHI Grant Number JP18J00454. NS was supported by Grant-in-Aid for JSPS Fellows JP17J00393. KS was supported by JSPS Grants-in-Aid for Scientific Research (JP16H02211 and JP17K05587).
Publisher Copyright:
© 2019 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.
PY - 2019/1/9
Y1 - 2019/1/9
N2 - We study the quantum speed limit for open quantum systems described by the Lindblad master equation. The obtained inequality shows a trade-off relation between the operation time and the physical quantities such as the energy fluctuation and the entropy production. We further identify a quantity characterizing the speed of the state transformation, which appears only when we consider the open system dynamics in the quantum regime. When the thermal relaxation is dominant compared to the unitary dynamics of the system, we show that this quantity is approximated by the energy fluctuation of the counter-diabatic Hamiltonian which is used as a control field in the shortcuts to adiabaticity protocol. We discuss the physical meaning of the obtained quantum speed limit and try to give better intuition about the speed in open quantum systems.
AB - We study the quantum speed limit for open quantum systems described by the Lindblad master equation. The obtained inequality shows a trade-off relation between the operation time and the physical quantities such as the energy fluctuation and the entropy production. We further identify a quantity characterizing the speed of the state transformation, which appears only when we consider the open system dynamics in the quantum regime. When the thermal relaxation is dominant compared to the unitary dynamics of the system, we show that this quantity is approximated by the energy fluctuation of the counter-diabatic Hamiltonian which is used as a control field in the shortcuts to adiabaticity protocol. We discuss the physical meaning of the obtained quantum speed limit and try to give better intuition about the speed in open quantum systems.
KW - quantum speed limits
KW - shortcuts to adiabaticity
KW - stochastic thermodynamics
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U2 - 10.1088/1367-2630/aaf9f5
DO - 10.1088/1367-2630/aaf9f5
M3 - Article
AN - SCOPUS:85062467058
VL - 21
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
IS - 1
M1 - 013006
ER -