Abstract
Engineering a sensor system for detecting an extremely tiny signal such as the gravitational-wave force is a very important subject in quantum physics. A major obstacle to this goal is that, in a simple detection setup, the measurement noise is lower bounded by the so-called standard quantum limit (SQL), which is originated from the intrinsic mechanical back-action noise. Hence, the sensor system has to be carefully engineered so that it evades the back-action noise and eventually beats the SQL. In this paper, based on the well-developed geometric control theory for classical disturbance decoupling problem, we provide a general method for designing an auxiliary (coherent feedback or direct interaction) controller for the sensor system to achieve the above-mentioned goal. This general theory is applied to a typical opto-mechanical sensor system. Also, we demonstrate a controller design for a practical situation where several experimental imperfections are present.
| Original language | English |
|---|---|
| Article number | 15 |
| Journal | EPJ Quantum Technology |
| Volume | 3 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2016 Dec 1 |
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Keywords
- Back-action evasion
- Coherent feedback
- Geometric control theory
- Opto-mechanical system
ASJC Scopus subject areas
- Condensed Matter Physics
- Atomic and Molecular Physics, and Optics
- Control and Systems Engineering
- Electrical and Electronic Engineering
Cite this
Geometric control theory for quantum back-action evasion. / Yokotera, Yu; Yamamoto, Naoki.
In: EPJ Quantum Technology, Vol. 3, No. 1, 15, 01.12.2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Geometric control theory for quantum back-action evasion
AU - Yokotera, Yu
AU - Yamamoto, Naoki
PY - 2016/12/1
Y1 - 2016/12/1
N2 - Engineering a sensor system for detecting an extremely tiny signal such as the gravitational-wave force is a very important subject in quantum physics. A major obstacle to this goal is that, in a simple detection setup, the measurement noise is lower bounded by the so-called standard quantum limit (SQL), which is originated from the intrinsic mechanical back-action noise. Hence, the sensor system has to be carefully engineered so that it evades the back-action noise and eventually beats the SQL. In this paper, based on the well-developed geometric control theory for classical disturbance decoupling problem, we provide a general method for designing an auxiliary (coherent feedback or direct interaction) controller for the sensor system to achieve the above-mentioned goal. This general theory is applied to a typical opto-mechanical sensor system. Also, we demonstrate a controller design for a practical situation where several experimental imperfections are present.
AB - Engineering a sensor system for detecting an extremely tiny signal such as the gravitational-wave force is a very important subject in quantum physics. A major obstacle to this goal is that, in a simple detection setup, the measurement noise is lower bounded by the so-called standard quantum limit (SQL), which is originated from the intrinsic mechanical back-action noise. Hence, the sensor system has to be carefully engineered so that it evades the back-action noise and eventually beats the SQL. In this paper, based on the well-developed geometric control theory for classical disturbance decoupling problem, we provide a general method for designing an auxiliary (coherent feedback or direct interaction) controller for the sensor system to achieve the above-mentioned goal. This general theory is applied to a typical opto-mechanical sensor system. Also, we demonstrate a controller design for a practical situation where several experimental imperfections are present.
KW - Back-action evasion
KW - Coherent feedback
KW - Geometric control theory
KW - Opto-mechanical system
UR - http://www.scopus.com/inward/record.url?scp=85042869826&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85042869826&partnerID=8YFLogxK
U2 - 10.1140/epjqt/s40507-016-0053-5
DO - 10.1140/epjqt/s40507-016-0053-5
M3 - Article
AN - SCOPUS:85042869826
VL - 3
JO - EPJ Quantum Technology
JF - EPJ Quantum Technology
SN - 2196-0763
IS - 1
M1 - 15
ER -