Abstract
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.
| Original language | English |
|---|---|
| Article number | 013006 |
| Journal | New Journal of Physics |
| Volume | 21 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2019 Jan 9 |
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Keywords
- quantum speed limits
- shortcuts to adiabaticity
- stochastic thermodynamics
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Speed limit for open quantum systems. / Funo, Ken; Shiraishi, Naoto; Saitou, Keiji.
In: New Journal of Physics, Vol. 21, No. 1, 013006, 09.01.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Speed limit for open quantum systems
AU - Funo, Ken
AU - Shiraishi, Naoto
AU - Saitou, Keiji
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
UR - http://www.scopus.com/inward/record.url?scp=85062467058&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85062467058&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/aaf9f5
DO - 10.1088/1367-2630/aaf9f5
M3 - Article
VL - 21
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
IS - 1
M1 - 013006
ER -