Adiabatic Elimination of Gaussian Subsystems from Quantum Dynamics under Continuous Measurement

@article{vCernotik2015AdiabaticEO,
  title={Adiabatic Elimination of Gaussian Subsystems from Quantum Dynamics under Continuous Measurement},
  author={Ondvrej vCernot'ik and Denis V. Vasilyev and Klemens Hammerer},
  journal={Physical Review A},
  year={2015},
  volume={92},
  pages={012124}
}
An ever broader range of physical platforms provides the possibility to study and engineer quantum dynamics under continuous measurements. In many experimental arrangements the system of interest is monitored by means of an ancillary device, whose sole purpose is to transduce the signal from the system to the measurement apparatus. Here, we present a method of adiabatic elimination when the transducer consists of an arbitrary number of bosonic modes with Gaussian dynamics while the measured… Expand

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References

SHOWING 1-10 OF 70 REFERENCES
Quantum feedback: theory, experiments, and applications
The control of individual quantum systems is now a reality in a variety of physical settings. Feedback control is an important class of control methods because of its ability to reduce the effects ofExpand
Quantum Measurement and Control
In the last two decades there has been an enormous progress in the experimental investigation of single quantum systems. This progress covers fields such as quantum optics, quantum computation,Expand
Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics
From the contents: A Historical Introduction.- Quantum Statistics.- Quantum Langevin Equations.- Phase Space Methods.- Quantum Markov Processes.- Applying the Master Equation.- Amplifiers andExpand
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
New J
  • Phys. 17, 010201
  • 2015
New Journal of Physics 17
  • 010201
  • 2015
Adiabatic elimination of Gaussian subystems in stochastic repository
  • 2015
Nat
  • Commun. 6, 6981
  • 2015
Phys
  • Rev. A 91, 033822
  • 2015
A
  • S. Sø rensen, K. Usami, A. Schliesser, and E. S. Polzik, Nature 507, 81
  • 2014
...
1
2
3
4
5
...