Article
Optics
A. I. N. A. R. A. alvarez-marcos, A. L. F. R. E. D. O. Luis
Summary: In this study, we derive a quantum version of the classical-optics Wiener-Khintchine theorem within the framework of phase-space displacement detection using a designed quantum ruler. We introduce a phase-space-based quantum mutual coherence function that includes the contribution of the detector. An universal equality linking resolution with coherence is obtained and illustrated with Gaussian states and number states as examples.
Article
Physics, Multidisciplinary
Junjie Lu, Tobias Hofmann, Ulrich Kuhl, Hans-Juergen Stoeckmann
Summary: Quantum graphs are useful for studying the spectral statistics of chaotic systems. Neumann and Dirichlet graphs have different boundary conditions at the vertices. The Neumann spectral statistics deviate from random matrix predictions due to the interlacing theorem. We provide analytic expressions for level spacing distribution and number variance of ensemble averaged spectra of Dirichlet graphs, and compare them with numerical results. The deviations of numerical results for small Neumann graphs from random matrix predictions are also discussed.
Article
Physics, Applied
Yuanyuan Chen, Lixiang Chen
Summary: This paper explores the application of the quantum Wiener-Khinchin theorem in describing the correlation between the joint spectral intensity and temporal signal of biphoton. The experimental demonstration using spectrally resolved detection in frequency-entangled two-photon Hong-Ou-Mandel interference shows the effectiveness of the quantum Wiener-Khinchin theorem. The results suggest that this method can achieve high measurement precision and time capturing ability in spectral-domain quantum optical coherence tomography, providing advantages over conventional HOM interferometric schemes.
PHYSICAL REVIEW APPLIED
(2022)
Article
Mathematics
Mithun Bhowmik, Sanjoy Pusti, Swagato K. Ray
Summary: This article presents a method used by P. Chernoff to prove the L-2 version of the classical Denjoy-Carleman theorem using iterates of the Laplacian on R-n, and extends it to the general case and Riemannian symmetric spaces.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
(2023)
Article
Computer Science, Interdisciplinary Applications
Eric B. Chin, Amir Ashkan Mokhtari, Ankit Srivastava, N. Sukumar
Summary: This paper computes the band structure of one- and two-dimensional phononic composites using X-FEM on structured higher-order finite element meshes. By using partition-of-unity enrichment, structured finite element meshes can be used without conforming to the geometry of holes and inclusions, eliminating the need for remeshing. The method demonstrates high accuracy and optimal convergence on structured, higher-order spectral finite element meshes.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Quantum Science & Technology
Sho Kubota, Kei Saito, Yusuke Yoshie
Summary: This paper presents a new spectral mapping theorem for quantum walks, which is applicable to Grover walks utilizing a shift operator with a cube as the identity on finite graphs. One of the key differences compared to the conventional theorem is that lifting the eigenvalues of the induced self-adjoint matrix T to the unit circle provides most of the eigenvalues of the time evolution U.
QUANTUM INFORMATION PROCESSING
(2022)
Article
Engineering, Electrical & Electronic
Amr Elsonbaty, Anis Allagui, Ahmed S. Elwakil
Summary: This work introduces an extended form of the instantaneous spectral analysis technique (E-ISA), which is capable of dealing with nonergodic signal sources with nonstationary spectra and has a smaller bandwidth utilization compared to the standard Fourier transform.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2022)
Article
Mathematics, Applied
Yong Li, Guangbin Ren
Summary: The real Paley-Wiener theorem is established for the octonion Fourier transform, relating the mean of derivatives of a function with the support of its octonion Fourier transform. This relationship holds for any octonion-valued Sobolev function in H-infinity(R-3, O).
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Quantum Science & Technology
Hasan Iqbal, Walter O. Krawec
Summary: In this study, a high-dimensional variant of the extended B92 protocol is investigated and shown to be able to extract a key over high noise channels. The protocol only requires Alice to send three high-dimensional states and Bob to perform partial measurements, with an information-theoretic security analysis conducted. By comparing its key rate with a high-dimensional BB84 protocol, it is demonstrated to have a higher key rate over high noise channels.
QUANTUM INFORMATION PROCESSING
(2021)
Article
Automation & Control Systems
Adil Brouri
Summary: In this paper, a new approach is developed to identify Wiener-Hammerstein model structures. The method does not make any assumptions about the structure of the linear elements' transfer functions and successfully separates the dynamics of input and output elements through a two-stage identification process.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Quantum Science & Technology
Changhao Yi, Elizabeth Crosson
Summary: In this paper, we consider the time-independent Hamiltonian simulation using the first order Lie-Trotter-Suzuki product formula under the assumption that the initial state is supported on a low-dimension subspace. By comparing the spectral decomposition of the original Hamiltonian and the effective Hamiltonian, we obtain better upper bounds for various conditions. Especially, we show that the Trotter step size needed to estimate an energy eigenvalue within precision epsilon using quantum phase estimation can be improved in scaling from epsilon to epsilon(1/2) for a large class of systems. Our results also depend on the gap condition of the simulated Hamiltonian.
NPJ QUANTUM INFORMATION
(2022)
Article
Mathematics, Applied
Wurichaihu Bai, Alatancang Chen
Summary: This paper focuses on the local spectral properties of Extended Hamilton operators and their adjoint operators, and explores the relationship between these properties.
Article
Astronomy & Astrophysics
Fabio Caceffo, Giuseppe Clemente
Summary: We explore the use of dual graph representation in causal dynamical triangulations (CDT) to construct observables and propose a new representation based on finite element methods (FEM). By applying FEM techniques, we extract the low-lying spectrum of the Laplace-Beltrami operator on piecewise flat manifolds in the Sobolev space H1 and compare it with the results obtained using the dual graph representation. We find that, except for nonpathological cases in two dimensions, the dual graph spectrum and spectral dimension do not generally agree with the ones obtained from the LB operator on the continuous space, both quantitatively and qualitatively. We analyze the reasons for this discrepancy and discuss its potential impact on defining generic observables constructed from the dual graph representation.
Article
Physics, Multidisciplinary
V. M. Ilic, J. Korbel, S. Gupta, A. M. Scarfone
Summary: This focus article aims to present a comprehensive classification of main entropic forms introduced in the last fifty years in the fields of statistical physics and information theory. Three families of entropic forms are discussed, each characterized by different deformation parameters introduced by various researchers. Important concepts such as axiomatic foundations and composability rules for statistically independent systems are systematically applied to characterize many of these entropic forms. Other critical aspects related to information measures' stability and consistency with axioms are briefly discussed in a general context.
Article
Physics, Mathematical
Mitia Duerinckx, Christopher Shirley
Summary: Inspired by the transport properties of quantum waves in weakly disordered media, this work introduces a new spectral approach for random Schrodinger operators. A resonance conjecture is proposed for the fibered operators, suggesting that Bloch waves exist as resonant modes rather than extended states. The development of new spectral analysis tools on the probability space leads to rigorous results regarding dynamical resonance and decay of time correlations on the kinetic timescale. This spectral approach offers a fresh perspective on avoiding perturbative expansions and renormalization techniques.
JOURNAL OF MATHEMATICAL PHYSICS
(2021)
Article
Optics
Rui-Bo Jin, Kurumi Tazawa, Naoto Asamura, Masahiro Yabuno, Shigehito Miki, Fumihiro China, Hirotaka Terai, Kaoru Minoshima, Ryosuke Shimizu
Summary: This study extends conventional optical synthesis techniques into high-dimensional space to deal with quantum correlations and demonstrates experimental manipulation of photon probability distribution in two-dimensional time and frequency space. The approach opens up a new pathway for adjusting the temporal characteristics of photon wave packets with high-dimensional quantum-mechanical treatment.
Article
Optics
Guo-Qun Chen, Hong-Yang Zhao, Shun Wang, Xiangying Hao, Hai-Wei Du, Rui-Bo Jin
Summary: This study theoretically investigates the generation of THz waves using isomorphs of periodically poled KTiOPO4, showing that the intensities of THz waves from cascaded difference frequency processes are significantly improved compared to non-cascaded cases.
Article
Engineering, Electrical & Electronic
Shun Wang, Yaowen Yang, Jiyin Cao, Liang Zhang, Lipi Mohanty, Rui-Bo Jin, Kaiwei Li
Summary: A high-precision large-range fiber-optic interferometric piezometer is developed for measuring pore water pressure. Various wideband interferometry methods are employed to achieve high resolution and large measurement range. The proposed piezometer offers advantages such as cost-effectiveness, robustness, repeatability, and stability.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2022)
Article
Optics
Neng Cai, Wu-Hao Cai, Shun Wang, Fang Li, Ryosuke Shimizu, Rui-Bo Jin
Summary: In this experiment, a low-cost, broadband laser diode with a central wavelength of 405 nm was used to pump a type-II phase-matched periodically poled potassium titanyl phosphate (PPKTP) crystal, resulting in a polarization-entangled photon source at 810 nm. The PPKTP crystal was placed in a Sagnac loop to achieve compact size and high stability. The experiment demonstrated high fidelities for prepared Bell states, high visibility in polarization correlation measurement, and a high S value in the Bell inequality test.
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
(2022)
Article
Optics
Chunling Ding, Jiahua Li, Xiao Dai, Rui-Bo Jin, Xiangying Hao
Summary: The study investigates the azimuthal and radial modulation of double-four-wave mixing by using higher-order Laguerre-Gaussian beams in Landau quantized graphene ensemble. The findings reveal unique phase and intensity profiles, including phase jumps, concentric rings, and raised narrow rings, depending on the radial orders and azimuthal orders of the beams. The potential applications of these results in graphene-based nonlinear optical devices using LG beams with adjustable mode orders are highlighted.
Article
Optics
Masahiro Yabuno, Takahiro Takumi, Fumihiro China, Shigehito Miki, Hirotaka Terai, Peter J. Mosley, Rui-Bo Jin, Ryosuke Shimizu
Summary: Ultrafast quantum optics requires a single-photon detector with sub-picosecond temporal resolution. Researchers have proposed an ultrafast single-photon detection method using an optical Kerr gate, which achieves a temporal resolution of up to 224 +/- 9 fs using a photonic crystal fiber (PCF) and a Sagnac interferometer.
Article
Optics
Shun Wang, Yaowen Yang, Lei Wu, Lipi Mohanty, Rui-Bo Jin, Liang Zhang, Peixiang Lu
Summary: Translating interferometric applications into practical field use with the required flexible precision and measurement range is challenging. An in-situ adjustable fiber-optic piezometer based on external Fabry-Perot interferometers (EFPIs) is demonstrated, utilizing the Vernier effect and its harmonics for water level measurement. The proposed scheme offers in-situ adjustable sensitivity, measurement range, simplicity, robustness, and remote sensing capability, making it suitable for various practical applications.
Article
Optics
Jin-Long Zhu, Wen-Xin Zhu, Xiao-Tao Shi, Chen-Tao Zhang, Xiangying Hao, Zi-Xiang Yang, Rui-Bo Jin
Summary: In this work, we optimized the poling sequence of lithium niobate to prepare two typical entangled states in the mid-infrared (MIR) band. The Hermit-Gaussian state and the comb-like entangled state at 3.2 μm were successfully achieved. Our approach provides high-quality entangled photon sources for quantum information research in the MIR band.
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
(2022)
Article
Physics, Applied
Rui-Bo Jin, Hiroki Oshima, Takumi Yagisawa, Masahiro Yabuno, Shigehito Miki, Fumihiro China, Hirotaka Terai, Ryosuke Shimizu
Summary: Precise manipulation of the time-frequency modes of entangled photons is crucial for future quantum science and technologies. The frequency-domain-quantum-optical-synthesis (FD-QOS) method provides an efficient and flexible way to modulate the temporal distributions of entangled photons. However, spectral modulations are also needed in many applications. In this study, a proof-of-concept experiment of two-photon spectral modulation via temporal manipulation is presented, enabling complete control over biphoton states.
APPLIED PHYSICS LETTERS
(2022)
Article
Physics, Applied
Chen Peng, Kang Zheng, Rui-Bo Jin, Chunling Ding, Xiangying Hao
Summary: We propose a scheme to investigate the spatial modulation of the refractive index in an atomic ensemble using Laguerre-Gaussian beams. Theoretical derivations and numerical simulations demonstrate that the azimuthal and radial mode indices of the beams significantly impact the refractive index. By tuning the phase values of the electric and magnetic components, the index of refraction can be drastically adjusted, opening up potential applications in optical switching and optical storage.
JOURNAL OF APPLIED PHYSICS
(2023)
Article
Optics
Baihong Li, Boxin Yuan, Changhua Chen, Xiao Xiang, Runai Quan, Ruifang Dong, Shougang Zhang, Rui-Bo Jin
Summary: A modified Hong-Ou-Mandel (HOM) interference experiment shows that the two-photon interference phenomenon can only be explained by the concept of a two-photon wave packet, rather than a single photon. However, the temporal interferogram in the modified HOM interferometer sometimes becomes flat, providing no useful information from time-domain measurements. We theoretically explore this temporal interferogram from the frequency domain and obtain spectrally resolved interference with high visibility. This modulation of the joint spectral intensity holds potential for the generation and characterization of high-dimensional frequency entanglement.
OPTICS AND LASER TECHNOLOGY
(2023)
Article
Optics
Zi-Xiang Yang, Zi-Qi Zeng, Ying Tian, Shun Wang, Ryosuke Shimizu, Hao-Yu Wu, Shilong Liu, Rui-Bo Jin
Summary: In this study, a method is proposed to prepare frequency entangled qudits through spontaneous parametric downconversion. The method utilizes an angle-dependent phasematching condition in a nonlinear crystal, establishing a classical-quantum mapping between the spatial and spectral degrees of freedom. By separating the pump profile into several bins in the spatial domain, discrete frequency modes are formed in the joint spectral space. This approach provides a feasible and efficient method to prepare high-dimensional frequency entangled states.
Article
Optics
Aulide Martinez-Tapia, Samuel Corona-Aquino, Freiman Triana-Arango, Chenglong You, Rui-Bo Jin, Omar S. Magana-Loaiza, Shi-Hai Dong, Alfred B. U'Ren, Roberto de J. Leon-Montiel
Summary: Recent investigations have shown the potential of using non-classical states of light in experimental two-photon absorption spectroscopy. However, there is still a debate on whether entangled two-photon absorption has truly been observed, as single-photon-loss mechanisms may mimic this behavior. In this study, transmission measurements of entangled two-photon absorption were conducted, and it was found that the N00N-state configuration is insensitive to linear (single-photon) losses, making it a strong candidate for the certification of this phenomenon in any sample.
Article
Optics
Baihong Li, Changhua Chen, Xiao Xiang, Runai Quan, Ruifang Dong, Shougang Zhang, Xiangying Hao, Rui-Bo Jin
Summary: We propose a theoretical quantum interferometer that combines the NOON state interferometer with the Hong-Ou-Mandel interferometer. This interferometer can show temporal interference patterns related to biphoton frequency sum and difference in different parts of a single interferogram. By taking a Fourier transform, it is possible to obtain spectral correlation information of biphotons in both frequency sum and difference simultaneously, providing a method for complete spectral characterization of arbitrary two-photon states. This interferometer also has potential applications in quantum Fourier-transform spectroscopy and quantum metrology.
Article
Optics
Xi Chen, Shun Wang, Chenglong You, Omar S. Magana-Loaiza, Rui-Bo Jin
Summary: In this paper, the authors experimentally demonstrate the implementation of the Hilbert hotel paradox in a photonic system. By using the interference fringes controlled by the topological charge of an optical beam, they verify the infinite nature of the Hilbert hotel. This research has significant implications for quantum communication and sensing.
