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。
"Generation of heralded optical `Schroedinger cat' states by photon-addition,"
Phys. Rev. A 110, 023703 (2024).
Download
"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
Bridge the wonderland to our daily life:
Superposition and Entanglement of
Quantum Physics and TechArt !!
"Simulating broken PT-symmetric Hamiltonian systems by weak
measurement,"
Phys. Rev. Lett. 123, 080404 (2019).
Download
Editors' Suggestion; Featured in Physics:
Reflecting on an Alternative Quantum Theory. [link]
Phys. Rev. Lett. 112, 130404 (2014).
Download
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).
Download
More
[5] Hsien-Yi Hsieh, Yi-Ru Chen, Jingyu Ning, Hsun-Chung Wu, Hua Li Chen, Zi-Hao Shi, Po-Han Wang, Ole Steuernagel, Chien-Ming Wu, and RKL, "Neural-network-enhanced Fock-state tomography," Phys. Rev. A 110, 053705 (2024); [download].
[4] Yi-Ru Chen, Hsien-Yi Hsieh, Jingyu Ning, Hsun-Chung Wu, Hua Li Chen, Zi-Hao Shi, Popo Yang, Ole Steuernagel, Chien-Ming Wu, and RKL, ""Generation of heralded optical cat states by photon addition," Phys. Rev. A 110, 023703 (2024); [download].
[3] Yi-Ru Chen, Hsien-Yi Hsieh, Jingyu Ning, Hsun-Chung Wu, Hua Li Chen, You-Lin Chuang, Popo Yang, Ole Steuernagel, Chien-Ming Wu, and RKL, "Experimental reconstruction of Wigner phase-space current," Phys. Rev. A 108, 023729 (2023); [download].
[2] Hsien-Yi Hsieh, Jingyu Ning, Yi-Ru Chen, Hsun-Chung Wu, Hua Li Chen, Chien-Ming Wu, and RKL, "Direct parameter estimations from machine-learning enhanced quantum state tomography," Special Issue "Quantum Optimization & Machine Learning"; Symmetry 14, 874 (2022); [download].
[1] Hsien-Yi Hsieh, Yi-Ru Chen, Hsun-Chung Wu, Hua Li Chen, Jingyu Ning, Yao-Chin Huang, Chien-Ming Wu, and RKL, "Extract the Degradation Information in Squeezed States with Machine Learning," Phys. Rev. Lett. 128, 073604 (2022); [download]. The first experimental paper from my own group.
LVK Collaboration Papers
[6] Hsien-Yi Hsieh, Yi-Ru Chen, Jingyu Ning, Hsun-Chung Wu, Hua Li Chen, Zi-Hao Shi, Po-Han Wang, Ole Steuernagel, Chien-Ming Wu, and RKL, "Neural-network-enhanced Fock-state tomography," Phys. Rev. A 110, 053705 (2024); [download].
[5] Yi-Ru Chen, Hsien-Yi Hsieh, Jingyu Ning, Hsun-Chung Wu, Hua Li Chen, Zi-Hao Shi, Popo Yang, Ole Steuernagel, Chien-Ming Wu, and RKL, ""Generation of heralded optical cat states by photon addition," Phys. Rev. A 110, 023703 (2024); [download].
[4] Yi-Ru Chen, Hsien-Yi Hsieh, Jingyu Ning, Hsun-Chung Wu, Hua Li Chen, You-Lin Chuang, Popo Yang, Ole Steuernagel, Chien-Ming Wu, and RKL, "Experimental reconstruction of Wigner phase-space current," Phys. Rev. A 108, 023729 (2023); [download].
[3] Hsien-Yi Hsieh, Jingyu Ning, Yi-Ru Chen, Hsun-Chung Wu, Hua Li Chen, Chien-Ming Wu, and RKL, "Direct parameter estimations from machine-learning enhanced quantum state tomography," Special Issue "Quantum Optimization & Machine Learning"; Symmetry 14, 874 (2022); [download].
[2] Hsien-Yi Hsieh, Yi-Ru Chen, Hsun-Chung Wu, Hua Li Chen, Jingyu Ning, Yao-Chin Huang, Chien-Ming Wu, and RKL, "Extract the Degradation Information in Squeezed States with Machine Learning," Phys. Rev. Lett. 128, 073604 (2022); [download]. The first experimental paper from my own group.
[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].
LVK Collaboration Papers
[1] Anandu Kalleri Madhu, Alexey A. Melnikov, Leonid E. Fedichkin, Alexander Alodjants, and RKL, "Quantum walk processes in quantum devices," Heliyon 9, e13416 (2023); [download].
[2] Hsien-Yi Hsieh, Yi-Ru Chen, Jingyu Ning, Hsun-Chung Wu, Hua Li Chen, Zi-Hao Shi, Po-Han Wang, Ole Steuernagel, Chien-Ming Wu, and RKL, "Neural-network-enhanced Fock-state tomography," Phys. Rev. A 110, 053705 (2024); [download].
[1] Yi-Ru Chen, Hsien-Yi Hsieh, Jingyu Ning, Hsun-Chung Wu, Hua Li Chen, Zi-Hao Shi, Popo Yang, Ole Steuernagel, Chien-Ming Wu, and RKL, ""Generation of heralded optical cat states by photon addition," Phys. Rev. A 110, 023703 (2024); [download].
[1] Yu-Han Chang, Nadia Daniela Rivera Torres, Santiago Figueroa Manrique, Raul A. Robles Robles, Vanna Chrismas Silalahi, Cen-Shawn Wu, Gang Wang, Giulia Marcucci, Laura Pilozzi, Claudio Conti, RKL, and Watson Kuo, "Probing topological protected transport in finite-sized Su-Schrieffer-Heeger chains," [arXiv: 2004.09282].
[2]
Chung-Yun Hsieh and RKL, "Work extraction and fully entangled
fraction," Phys. Rev. A 96, 012107 (2017) [download]; Phys. Rev. A
97, 059904(E) (2018) [Erratum].
[1]
Chung-Yun Hsieh, Yeong-Cherng Liang, and RKL, "Quantum steerability:
Characterization, quantification, superactivation, and unbounded amplification,"
Phys. Rev. A 94, 062120 (2016) [download].
[2] Ludmila Praxmeyer, Chih-Cheng Chen, Popo Yang, Shang-Da Yang, and
RKL, "Direct measurement of time-frequency analogs of sub-Planck structures,"
Phys. Rev. A 93, 053835 (2016) [download].
[1] Ludmila Praxmeyer, Popo Yang, and RKL, "Phase-space
representation of a non-Hermitian system with PT-symmetry," Phys. Rev. A
93, 042122 (2016) [download].
[5] Ray-Ching Hong, Chun-Yan Lin, You-Lin Chuang, Chien-Ming Wu, Yonan
Su, Jeng Yi Lee, Chien-Chung Jeng, Ming-Feng Shih, and RKL, "Resonance in modulation instability
from non-instantaneous nonlinearities," Opt. Lett. 43, 3329
(2018) [download].
[4] Ming Shen, Yonan Su, Ray-Ching Hong, YuanYao Lin, Chien-Chung Jeng,
Min-Feng Shih, and RKL, "Observation of phase boundaries in spontaneous optical pattern
formation," Phys. Rev. A 91, 023810 (2015) [download].
[3] Chien-Chung Jeng, Yonan Su, Ray-Ching Hong, and RKL, "Control
modulation instability in photorefractive crystals by the intensity ratio of background to signal
fields," Optics Express 23, 10266 (2015) [download].
[2] Yonan Su, Chun-Yan Lin, Ray-Ching Hong, Wen-Xing Yang, Chien-Chung
Jeng, Tien-Chang Lu, and RKL "Lasing on surface states in vertical-cavity surface-emission
lasers," Opt. Lett. 39, 5582 (2014) [download].
[1] Chien-Chung Jeng, YuanYao Lin, Ray-Ching Hong, and RKL, "Optical Pattern Transitions from Modulation to Transverse
Instabilities in Photorefractive Crystals," Phys. Rev. Lett. 102, 153905 (2009) [download].
[4] Ray-Ching Hong, Chun-Yan Lin, You-Lin Chuang, Chien-Ming Wu, Yonan Su
, Jeng Yi Lee, Chien-Chung Jeng, Ming-Feng Shih, and RKL, "Resonance in
modulation instability from non-instantaneous nonlinearities," Opt. Lett.
43, 3329 (2018) [download].
[3] Ming Shen, Yonan Su, Ray-Ching Hong, YuanYao Lin, Chien-Chung Jeng,
Min-Feng Shih, and RKL, "Observation of phase boundaries in spontaneous optical pattern
formation," Phys. Rev. A 91, 023810 (2015) [download].
[2] Chien-Chung Jeng, Yonan Su, Ray-Ching Hong, and RKL, "Control modulation instability in
photorefractive crystals by the intensity ratio of background to signal fields,"
Optics Express 23, 10266 (2015) [download].
[1] Yonan Su, Chun-Yan Lin, Ray-Ching Hong, Wen-Xing
Yang, Chien-Chung Jeng, Tien-Chang Lu, and RKL "Lasing on surface states in vertical-cavity surface-emission lasers," Opt. Lett. 39, 5582 (2014) [download].
[2] Yi-Chan Lee, Jibing Liu, You-Lin Chuang, Min-Hsiu Hsieh, and RKL,
"Passive PT-symmetric couplers without complex optical potentials," Phys. Rev. A 92, 053815 (2015) [download].
[2] Kuan-Hsien Kuo, YuanYao Lin, and RKL, "Thresholdless crescent
waves in an elliptical ring," Opt. Lett. 38, 1077 (2013) [download].
[1] Kuan-Hsien Kuo, YuanYao Lin, RKL, and Boris A. Malomed,"Gap
solitons under competing local and nonlocal nonlinearities," Phys. Rev. A
83, 053838 (2011) [download].
[3] Soi-Chan Lei, Tai-Kai Ng, and RKL, "Photonic analogue of
Josephson effect in a dual-species optical-lattice cavity," Optics Express
18, 14586 (2010) [download].
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:
The cover gives a pictorial view of a unique eye that learns to observe differences between quantum
and classical effects in the space of surrounding networks.
Achievements:
Next:
Implementation of Quantum Machine Learning in IBM Q Experience!
[1] Anandu Kalleri Madhu, Alexey A. Melnikov, Leonid E. Fedichkin, Alexander Alodjants, and RKL, "Quantum walk processes in quantum devices," Heliyon 9, e13416 (2023); [download].
Next:
Quantum Metrology with Quantum Solitons !
Next:
Next:
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 (2/23)]
Simple Harmonic Oscillators: [slides (2/26)], [handout (2/26)], [normal modes in EM waves]
Quantum SHO: [slides], [handout: qSHO (3/2)], [handout-2 (3/9)], [Quantum SHO (3/9)], Vacuum states, Quantum Fluctuations, Shot Noise Limit, Casimir Force
Quantum Mechanics: [slides], [handout: QM (3/12)], [Quantum Mechanics (3/12)], [handout: density matrix (3/17)], [Density Matrix: Poisson and Bose-Einstein distributions (3/17)], Schrodinger picture, Heisenberg picture, Interaction picture, and Uncertainty Relation
Coherent States (CS): [slides on CS (3/23)], [slides on MUS (3/30)][handout: CS (3/23)], [handout: MUS (3/30)], [photon statistics (3/23)], bunching-anti-bunching, Correlation function, [Minimum Uncertainty States (MUS) (3/30)], Classical-Quantum boundary
Quantum Phase Space: [slides on PS (4/13)], [handout: Wigner function (4/09)], [Quasi-probability (4/09)], Quantum State Tomography
Squeezed states: [slides on SS (4/16)], [handout: SS (4/16)], [Squeezed States (4/16)],OPO, Continuous Variables
Two-mode Squeezed states: [handout: two-mode (5/4)], EPR pair, Cat states, non-Gaussian states
Quantum Discord, Entanglement, Steering, Bell's inequality
Optical devices: Beam splitter, Mach-Zehnder interferometer, linear optics
Interferometry: [handout: correlation (4/27)], [Correlation functions (4/27)], Young's Interferometry, HBT-Interferometry
Quantum Phase Estimation, Quantum Fisher Information
Two-level systems: [handout: interaction (5/11)], [Classical, Semi-classical, and Full-quantum models (5/11)]
Einstein's AB coefficients, Rabi oscillation
Jaynes-Cummings Hamiltonian, vacuum Rabi oscillation
Dissipative Systems: [handout: damping (5/28)], [ dissipation-fluctuation theorem (6/1)], [ Master equation (6/11)], [handout: Lindblad equation (6/15)], non-Markovian, [ Mollow triplets (6/11)],
Dicke model, super-raidance
Cavity-Quantum Electro-Dynamics (cavity-QED): [handout: Input-Output (6/11)], [ Input-Output formula (6/8)], Circuit-QED
Optical Parametric Oscillator (OPO),
Electromagnetically Induced Transparency (EIT),
Quantum Metrology: Gravitational Wave Detectors, Quantum Sensors
Horizons,
Test of Quantum Mechanics: [ Parity-Time symmetrical QM (6/22)],Quantum Zeno effect, Alternative Quantum Mechanics
Quantum Information Processing: Quantum Key Distribution, Quantum Photonic Circuit
IBM Qiskit
Quantum Machine Learning
G. S. Agarwal, "Quantum Optics", Cambridge University (2013).
U. Leonhardt, "Essential Quantum Optics," Cambridge (2010).
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).
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