scholarly journals Time-local quantum-state-diffusion equation for multilevel quantum systems

2012 ◽  
Vol 85 (4) ◽  
Author(s):  
Jun Jing ◽  
Xinyu Zhao ◽  
J. Q. You ◽  
Ting Yu
Keyword(s):  
Diffusion Equation ◽  
Quantum State ◽  
Quantum Systems ◽  
State Diffusion ◽  
Local Quantum ◽  
Quantum State Diffusion

scholarly journals Dynamical invariants in a non-Markovian quantum-state-diffusion equation

2015 ◽  
Vol 92 (6) ◽  
Author(s):  
Da-Wei Luo ◽  
P. V. Pyshkin ◽  
Chi-Hang Lam ◽  
Ting Yu ◽  
Hai-Qing Lin ◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Quantum State ◽  
State Diffusion ◽  
Quantum State Diffusion ◽  
Dynamical Invariants

scholarly journals Large Deviations at Level 2.5 for Markovian Open Quantum Systems: Quantum Jumps and Quantum State Diffusion

2021 ◽  
Vol 184 (1) ◽  
Author(s):  
Federico Carollo ◽  
Juan P. Garrahan ◽  
Robert L. Jack
Keyword(s):  
Quantum State ◽  
Large Time ◽  
Stochastic Dynamics ◽  
Large Deviation ◽  
Open Quantum Systems ◽  
Photon Detection ◽  
State Diffusion ◽  
Quantum State Diffusion ◽  
Quantum Stochastic Processes ◽  
Large Time Limit

AbstractWe consider quantum stochastic processes and discuss a level 2.5 large deviation formalism providing an explicit and complete characterisation of fluctuations of time-averaged quantities, in the large-time limit. We analyse two classes of quantum stochastic dynamics, within this framework. The first class consists of the quantum jump trajectories related to photon detection; the second is quantum state diffusion related to homodyne detection. For both processes, we present the level 2.5 functional starting from the corresponding quantum stochastic Schrödinger equation and we discuss connections of these functionals to optimal control theory.

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