With AMO (Atom-Molecular-Optics) and photonics as a versatile platform, the Quantum
Optics Group is focusing
Quantum Physics: the duality of wave and particle, generation of quantum
noise squeezed states, quantum state tomography, and the dilation of quantum mechanics.
Quantum Technology: quantum metrology, quantum photonic chips,
quantum-enhanced precision measurement, and the gravitational wave detectors.
目前,量子光學實驗室著重於波和粒子對偶性的研究, 量子噪音壓縮態的產生,量子態斷層掃描,量子度量,與 量子力學的擴充。此外研究主題也包含量子光學晶片的實現、量子加強精密測量,與重力波探測器。
"Frequency-dependent squeezed vacuum source for broadband quantum noise reduction in
advanced gravitational-wave detectors,"
Editors' Suggestion; Featured in Physics:
Feeling the Squeeze at All Frequencies.  [link]
Phys. Rev. Lett. 124, 171101 (2020).
Download  More
"Simulating broken PT-symmetric Hamiltonian systems by weak
measurement,"
Phys. Rev. Lett. 123, 080404 (2019).
Download
"Local PT symmetry violates the no-signaling principle,"
Editors' Suggestion; Featured in Physics:
Reflecting on an Alternative Quantum Theory.  [link]
Phys. Rev. Lett. 112, 130404 (2014).
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 More
"Hiding the interior region of core-shell nano-particles with quantum invisible
cloaks,"
Physics Today News Picks:
Invisibility cloaks theorized to work for quantum effects.  [link-1];
MIT Technology Review / ExtremeTech:
Quantum Invisibility Cloak Hides Objects from Reality.
 [link-2] [link-3]
Phys. Rev. B 89, 155425 (2014).
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 More
[3] Yu-Han Chang, Raul A. Robles Robles, Vanna Chrismas Silalahi,
Cen-Shawn Wu, Gang Wang, Giulia Marcucci, Laura Pilozzi, Claudio Conti, RKL, and Watson Kuo,
"Direct Observation of Topological Protected Edge States in Slow-Light," submitted for
publication (Apr. 2020); [arXiv: 2004.09282].
[2] Raul A. Robles Robles and RKL, "Quantum phase transition of a finite number of atoms in electromagnetically induced transparency media," J. Opt. Soc. Am. B 37, 1388 (2020) [download].
[1] Raul A. Robles Robles, S. A. Chilingaryan, B. M. Rodriguez-Lara,
and RKL, "Ground state in the finite Dicke model for interacting qubits," Phys. Rev. A 91, 033819 (2015); Images also selected as the Kaleidoscope in Phys. Rev. A [download].
[5] The KAGRA collaboration, "Overview of KAGRA: Detector design
and construction history," Prog. Theo. Exp. Phys. (PTEP) (accepted, 2020); [arXiv: 2005.05574].
[4] The KAGRA collaboration, "Overview of KAGRA : KAGRA science," Prog. Theo. Exp. Phys. (PTEP) (accepted, 2020).
[3] The LIGO Scientific Collaboration, the Virgo
Collaboration, and the KAGRA collaboration, "Prospects for
Observing and Localizing Gravitational-Wave Transients with Advanced LIGO, Advanced Virgo and KAGRA,"
Living Reviews in Relativity 23, 3 (2020) [download];  [link]; [arXiv: 1304.0670].
[2] The KAGRA collaboration, "Application of independent component analysis to the iKAGRA data," Prog. Theo. Exp. Phys. (PTEP) 2020, 053F01 (2020); [download].
[1] The KAGRA collaboration, "An arm length stabilization
system for KAGRA and future gravitational-wave detectors," Class. Quantum
Grav. 37, 035004 (2020) [download].
[5] The KAGRA collaboration, "Overview of KAGRA: Detector design
and construction history," Prog. Theo. Exp. Phys. (PTEP) (accepted, 2020); [arXiv: 2005.05574].
[4] The KAGRA collaboration, "Overview of KAGRA : KAGRA science," Prog. Theo. Exp. Phys. (PTEP) (accepted, 2020).
[3] The LIGO Scientific Collaboration, the Virgo
Collaboration, and the KAGRA collaboration, "Prospects for
Observing and Localizing Gravitational-Wave Transients with Advanced LIGO, Advanced Virgo and KAGRA,"
Living Reviews in Relativity 23, 3 (2020) [download];  [link]; [arXiv: 1304.0670].
[2] The KAGRA collaboration, "Application of independent component analysis to the iKAGRA data," Prog. Theo. Exp. Phys. (PTEP) 2020, 053F01 (2020); [download].
[1] The KAGRA collaboration, "An arm length stabilization
system for KAGRA and future gravitational-wave detectors," Class. Quantum
Grav. 37, 035004 (2020) [download].
[1] Hua Li Chen, Gang Wang, and RKL, "Nearly complete survival of an entangled biphoton through bound states in continuum in disordered photonic lattices," Optics Express 26, 33205 (2018) [download].
[1] Anandu Kalleri Madhu, Alexey A. Melnikov, Leonid E. Fedichkin, Alexander Alodjants, and RKL, "Quantum walk processes in quantum devices," submitted for publication (Dec. 2020).
Targets:
The astrophysical reach of current and future ground-based gravitational-wave detectors is mostly
limited by quantum noise, induced by vacuum fluctuations entering the detector
output port. The replacement of this ordinary vacuum field with a squeezed vacuum
field has proven to be an effective strategy to mitigate such quantum noise and it is currently
used in advanced detectors [2].
However, current squeezing cannot improve the noise across the whole spectrum because of the
Heisenberg uncertainty principle: when shot noise at high frequencies is reduced, radiation pressure at
low frequencies is increased. A broadband quantum noise reduction is possible by using a more complex
squeezing source, obtained by reflecting the squeezed vacuum off a Fabry-Perot cavity, known as filter
cavity.
Achievements:
Next:
The plan is to have filter cavities like these installed for the next round of observing that
should start in 2022. Eventually, this and other improvements are expected to give an eightfold increase
in detection rate, for both black hole and neutron star mergers, which are observable, respectively, at
low and high frequencies.
Squeezing into the Tunnel !!
Achievements:
Next:
Achievements:
Next:
Implementation of Quantum Machine Learning in IBM Q Experience!
Next:
Quantum Metrology with Quantum Solitons !
Next:
Next:
Text Book: S. Friedberg, A. Insel, and L. Spence, "Linear Algebra," 4th Edition (Pearson).
Gilbert Strang, "Introduction to Linear Algebra," International 5th Edition (Wellesley-Cambridge Press).
You should go through the whole Textbook.
Instead of repeating what you can find in the Textbook, I will illustrate the content from Scratch, by raising questions to you first.
You need to have Quiz (40% to the semester score) on every Wednesday.
Quiz > 12, 40%
Exams x 3, 60%
RK: 1:00-5:00 PM, Wednesday, at R 911, Delta Hall, or by appointment.
TA time: 6:30-8:30 PM, Wednesday, at R 217, Delta Hall
Quantum properties of Electromagnetic Fields;
Non-classical light and its generation, measurement, and applications;
Interaction between photon-atoms;
Test of Quantum Mechanics by Optics;
Introduction to Quantum Optics
Quantum Theory,
Quantum Field theory of Light,
Number states and Coherent States,
Squeezed States and Phase Space,
Simple Optical Instruments:
Photon-atom interaction:
Rabi oscillation,
Jaynes-Cummings Hamiltonian,
Dicke model,
Cavity-Quantum Electro-Dynamics (Cavity-QED),
Electromagnetically Induced Transparency (EIT),
Optical Parametric Oscillator (OPO),
Dissipative Systems
Applications of Quantum Optics:
Entanglement,
Horizons,
Gravitational Wave Detectors,
Test of Quantum Mechanics,
Quantum Information Processing
U. Leonhardt, "Essential Quantum Optics," Cambridge (2010).
G. S. Agarwal, "Quantum Optics", Cambridge University (2013).
D. F. Walls and G. J. Milburn, "Quantum Optics," 2nd Ed. Springer (2008).
M. Fox, "Quantum Optics, an introduction," Oxford (2006).
C. C. Gerry and P. L. Knight, "Introductory Quantum Optics,"" Cambridge (2005).
Y. Yamamoto and A. Imamoglu, "Mesoscopic Quantum Optics," Wiley (1999).
M. O. Scully, and M. S Zubairy, "Quantum Optics," Cambridge (1997).