Details
Original language | English |
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Title of host publication | Advances in Atomic, Molecular and Optical Physics |
Publisher | Academic Press Inc. |
Chapter | 5 |
Pages | 263-374 |
Number of pages | 112 |
Publication status | Published - 15 May 2017 |
Publication series
Name | Advances in Atomic, Molecular and Optical Physics |
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Volume | 66 |
ISSN (Print) | 1049-250X |
Abstract
In this chapter we aim at bringing together the fields of quantum control theory and quantum optomechanics, exploring the prospects of entanglement-enhanced quantum control of these systems. We first analyze in detail how the radiation pressure interaction can be used to generate entanglement between a mechanical mode and the electromagnetic field, both in continuous-wave and pulsed regimes, and introduce an optomechanical teleportation scheme to transfer an arbitrary quantum state from a traveling-wave light pulse onto the mechanical system. Making use of continuous measurement and optimal control theory, we then show how similar schemes can be implemented in a time-continuous regime; analyzed protocols include optimal optomechanical feedback cooling, time-continuous teleportation, and time-continuous entanglement swapping. Finally we discuss the implementation of a Kalman filter for an optomechanical system, representing an important first step toward the experimental realization of the discussed protocols. Additionally, elementary aspects of quantum stochastic calculus and quantum control theory are given in comprehensive appendices.
Keywords
- Continuous measurement, Entanglement, Estimation, Feedback, Micromechanics, Optomechanics, Quantum control, Quantum optics, Teleportation
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
Cite this
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Advances in Atomic, Molecular and Optical Physics. Academic Press Inc., 2017. p. 263-374 (Advances in Atomic, Molecular and Optical Physics; Vol. 66).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Quantum Control of Optomechanical Systems
AU - Hofer, Sebastian G.
AU - Hammerer, Klemens
PY - 2017/5/15
Y1 - 2017/5/15
N2 - In this chapter we aim at bringing together the fields of quantum control theory and quantum optomechanics, exploring the prospects of entanglement-enhanced quantum control of these systems. We first analyze in detail how the radiation pressure interaction can be used to generate entanglement between a mechanical mode and the electromagnetic field, both in continuous-wave and pulsed regimes, and introduce an optomechanical teleportation scheme to transfer an arbitrary quantum state from a traveling-wave light pulse onto the mechanical system. Making use of continuous measurement and optimal control theory, we then show how similar schemes can be implemented in a time-continuous regime; analyzed protocols include optimal optomechanical feedback cooling, time-continuous teleportation, and time-continuous entanglement swapping. Finally we discuss the implementation of a Kalman filter for an optomechanical system, representing an important first step toward the experimental realization of the discussed protocols. Additionally, elementary aspects of quantum stochastic calculus and quantum control theory are given in comprehensive appendices.
AB - In this chapter we aim at bringing together the fields of quantum control theory and quantum optomechanics, exploring the prospects of entanglement-enhanced quantum control of these systems. We first analyze in detail how the radiation pressure interaction can be used to generate entanglement between a mechanical mode and the electromagnetic field, both in continuous-wave and pulsed regimes, and introduce an optomechanical teleportation scheme to transfer an arbitrary quantum state from a traveling-wave light pulse onto the mechanical system. Making use of continuous measurement and optimal control theory, we then show how similar schemes can be implemented in a time-continuous regime; analyzed protocols include optimal optomechanical feedback cooling, time-continuous teleportation, and time-continuous entanglement swapping. Finally we discuss the implementation of a Kalman filter for an optomechanical system, representing an important first step toward the experimental realization of the discussed protocols. Additionally, elementary aspects of quantum stochastic calculus and quantum control theory are given in comprehensive appendices.
KW - Continuous measurement
KW - Entanglement
KW - Estimation
KW - Feedback
KW - Micromechanics
KW - Optomechanics
KW - Quantum control
KW - Quantum optics
KW - Teleportation
UR - http://www.scopus.com/inward/record.url?scp=85019491951&partnerID=8YFLogxK
U2 - 10.1016/bs.aamop.2017.03.003
DO - 10.1016/bs.aamop.2017.03.003
M3 - Contribution to book/anthology
AN - SCOPUS:85019491951
T3 - Advances in Atomic, Molecular and Optical Physics
SP - 263
EP - 374
BT - Advances in Atomic, Molecular and Optical Physics
PB - Academic Press Inc.
ER -