TY - JOUR
T1 - Deriving a kinetic uncertainty relation for piecewise deterministic processes
T2 - From classical to quantum
AU - Liu, Fei
N1 - Publisher Copyright:
© 2021 Institute of Theoretical Physics CAS, Chinese Physical Society and IOP Publishing.
PY - 2021/12
Y1 - 2021/12
N2 - From the perspective of Markovian piecewise deterministic processes (PDPs), we investigate the derivation of a kinetic uncertainty relation (KUR), which was originally proposed in Markovian open quantum systems. First, stationary distributions of classical PDPs are explicitly constructed. Then, a tilting method is used to derive a rate functional of large deviations. Finally, based on an improved approximation scheme, we recover the KUR. These classical results are directly extended to the open quantum systems. We use a driven two-level quantum system to exemplify the quantum results.
AB - From the perspective of Markovian piecewise deterministic processes (PDPs), we investigate the derivation of a kinetic uncertainty relation (KUR), which was originally proposed in Markovian open quantum systems. First, stationary distributions of classical PDPs are explicitly constructed. Then, a tilting method is used to derive a rate functional of large deviations. Finally, based on an improved approximation scheme, we recover the KUR. These classical results are directly extended to the open quantum systems. We use a driven two-level quantum system to exemplify the quantum results.
KW - Nonequilibrium fluctuations
KW - kinetic uncertainty relations
KW - large deviation principle
KW - open quantum systems
KW - piecewise deterministic processes
KW - trajectory
UR - https://www.scopus.com/pages/publications/85118934566
U2 - 10.1088/1572-9494/ac28f8
DO - 10.1088/1572-9494/ac28f8
M3 - 文章
AN - SCOPUS:85118934566
SN - 0253-6102
VL - 73
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 12
M1 - 125602
ER -