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The gauge invariance of geometric phases for mixed states is analyzed by using the hidden local gauge symmetry which arises from the arbitrariness of the choice of the basis set defining the coordinates in the functional space. This…

Quantum Physics · Physics 2008-11-26 Kazuo Fujikawa

Accurate phase measurement is highly desirable in optical manipulation driven by structured light, since the phase profiles have a close connection with optical force distribution, strongly affecting the capability of optical traps. Here,…

Optics · Physics 2023-01-25 Xionggui Tang , Yanhua Xu , Yi Shen , Wenjing Rong

An interferometric technique is proposed for determining the spatial forms of the individual degrees of freedom through which a many body system can absorb energy from its environment. The method separates out the coherent excitations…

Quantum Physics · Physics 2017-08-30 S. Withington , C. N. Thomas , D. J. Goldie

The detection of high contrast companions at small angular separation appears feasible in conventional direct images using the self-calibration properties of interferometric observable quantities. The friendly notion of closure-phase, which…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Frantz Martinache

Holography is an optical technique enabling to record phase objects. Holographic interferometry uses this faculty to make a phase object interfere with a memory of itself at a preceding time, recorded on a hologram. Interference fringes…

Fluid Dynamics · Physics 2009-11-23 Jean Colombani , Jacques Bert

Cold-atom inertial sensors target several applications in navigation, geoscience and tests of fundamental physics. Reaching high sampling rates and high inertial sensitivities, obtained with long interrogation times, represents a challenge…

Atomic Physics · Physics 2019-01-09 D. Savoie , M. Altorio , B. Fang , L. A. Sidorenkov , R. Geiger , A. Landragin

We demonstrate single-shot compressive three-dimensional (3D) $(x, y, z)$ imaging based on interference coding. The depth dimension of the object is encoded into the interferometric spectra of the light field, resulting a $(x, y, \lambda)$…

Image and Video Processing · Electrical Eng. & Systems 2020-04-07 Mu Qiao , Yangyang Sun , Jiawei Ma , Ziyi Meng , Xuan Liu , Xin Yuan

Establishing dense correspondence across 3D shapes is crucial for fundamental downstream tasks, including texture transfer, shape interpolation, and robotic manipulation. However, learning these mappings without manual supervision remains a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Qinfeng Xiao , Guofeng Mei , Qilong Liu , Chenyuan Yi , Fabio Poiesi , Jian Zhang , Bo Yang , Yick Kit-lun

The study of geometric phase in quantum mechanics has so far be confined to discrete (or continuous) spectra and trace preserving evolutions. Consider only the transmission channel, a scattering process with internal degrees of freedom is…

Quantum Physics · Physics 2013-05-29 H. D. Liu , X. X. Yi

Quantum correlation, such as entanglement and squeezing have shown to improve phase estimation in interferometric setups on one side, and non-interferometric imaging scheme of amplitude object on the other. In the last case, quantum…

The geometric phase is of fundamental interest and plays an important role in quantum information processing. However, the definition and calculation of this phase for open systems remains a problem due to the lack of agreement on…

Quantum Physics · Physics 2015-06-19 Shi-Biao Zheng

We study spherical completeness of ball spaces and its stability under expansions. We introduce the notion of an ultra-diameter, mimicking diameters in ultrametric spaces. We prove some positive results on preservation of spherical…

Logic · Mathematics 2021-08-25 Wieslaw Kubiś , Franz-Viktor Kuhlmann

The objective of this paper is to derive the essential invariance and contraction properties for the geometric periodic systems, which can be formulated as a category of differential inclusions, and primarily rendered in the phase…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Chen Qian , Yongchun Fang

We present a phase induced transparency based scheme to generate structured beam patterns in a closed four level atomic system. We employ phase structured probe beam and a transverse magnetic field (TMF) to create phase dependent medium…

Optics · Physics 2017-09-13 Sandeep Sharma , Tarak N. Dey

Although Rydberg atom-based electric field sensing provides key advantages over traditional antenna-based detection, it remains limited by the need for a local oscillator (LO) for low-field and phase resolved detection. In this work, we…

Interferometric imaging is a well established method to image phase objects by mixing the image wavefront with a reference one on a CCD camera. It has also been applied to fast transient phenomena, mostly through the analysis of single…

We investigate the use of closure phase as a method to detect the HI 21cm signal from the neutral IGM during cosmic reionzation. Closure quantities have the unique advantage of being independent of antenna-based calibration terms. We employ…

Instrumentation and Methods for Astrophysics · Physics 2016-07-04 C. L. Carilli , P. Sims

Interferometric closure invariants, constructed from triangular loops of mixed Fourier components, capture calibration-independent information on source morphology. While a complete set of closure invariants is directly obtainable from…

Instrumentation and Methods for Astrophysics · Physics 2024-11-20 Samuel Lai , Nithyanandan Thyagarajan , O. Ivy Wong , Foivos Diakogiannis , Lucas Hoefs

Symmetry Protected Topological (SPT) phases are a minimal generalization of the concept of topological insulators to interacting systems. In this paper we describe the classification and properties of such phases for three dimensional(3D)…

Strongly Correlated Electrons · Physics 2015-06-01 Chong Wang , T. Senthil

A new type of an optical interferometer is discussed the phase difference between the interfering beams in which is substantially wavelength dependent. It is shown that the function measured with this device is an integral transform of the…

Optics · Physics 2012-06-29 M. V. Lebedev
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