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When a quantum system evolves so that it returns to its initial state, it will acquire a geometric phase acting as a memory of the transformation of a physical system, which has been experimentally measured in a variety of physical systems.…

The use of structured light beams to detect the velocity of targets moving perpendicularly to the beam's propagation axis opens new avenues for remote sensing of moving objects. However, determining the direction of motion is still a…

The geometric or Berry phase, a characteristic of quasiparticles, is fundamental to the underlying quantum materials. The discoveries of new materials at a rapid pace nowadays call for efficient detection of the Berry phase. Utilizing…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Cheng-Zhen Wang , Chen-Di Han , Hong-Ya Xu , Ying-Cheng Lai

A general scheme for an adiabatic geometric phase gate is proposed which is maximally robust against parameter fluctuations. While in systems with SU(2) symmetry geometric phases are usually accompanied by dynamical phases and are thus not…

Quantum Physics · Physics 2009-11-10 R. G. Unanyan , M. Fleischhauer

Geometric phases provide a unified framework for understanding diverse phenomena in quantum and classical physics. The Pancharatnam-Berry (PB) geometric phase, arising from variation of optical transverse polarization, has transformed light…

Classical Physics · Physics 2025-08-05 Wanyue Xiao , Wenjian Kuang , Sibo Huang , Shanjun Liang , Din Ping Tsai , Shubo Wang

We present a feasible scheme to investigate the geometric phase for an atom trapped in an optical cavity induced by the effective decay process due to cavity photon loss. The cavity mode, together with the external driving fields, acts as…

Quantum Physics · Physics 2012-05-08 Shi-Biao Zheng

We examine a recent proposal to show the presence of nonlocal Pancharatnam type geometric phases in a quantum mechanical treatment of intensity interferometry measurements upon inclusion of polarizing elements in the setup. It is shown that…

Quantum Physics · Physics 2017-03-07 Arvind , S. Chaturvedi , N. Mukunda

We for the first time report the truncated diffraction with a triangular aperture of the SU(2) geometric modes and propose a method to detect the complicated orbital angular momentum (OAM) of an SU(2) wave-packet, to the best of our…

Optics · Physics 2018-10-17 Yijie Shen , Xing Fu , Mali Gong

The second quantized approach to geometric phases is reviewed. The second quantization generally induces a hidden local (time-dependent) gauge symmetry. This gauge symmetry defines the parallel transport and holonomy, and thus it controls…

Quantum Physics · Physics 2011-03-17 Kazuo Fujikawa

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

Pancharatnam-Berry (PB) metasurfaces can be applied to manipulate the phase and polarization of light within subwavelength thickness. The underlying mechanism is attributed to the geometric phase originating from the longitudinal spin of…

Optics · Physics 2024-02-07 Wanyue Xiao , Shubo Wang

We present a method to measure the geometric phase defined for three internal states of a photon (polarizations) using a three-pinhole interferometer. From the interferogram, we can extract the geometric phase related to the three-vertex…

Quantum Physics · Physics 2011-03-18 H. Kobayashi , S. Tamate , T. Nakanishi , K. Sugiyama , M. Kitano

We have constructed the geometric phases emerging from the non-trivial topology of a space-dependent magnetic field, interacting with the spin magnetic moment of a neutral particle. Our basic tool is the local unitary transformation which…

Atomic Physics · Physics 2015-06-05 Marie-Anne Bouchiat , Claude Bouchiat

A remarkable property of quantum mechanics in two-dimensional (2D) space is its ability to support "anyons," particles that are neither fermions nor bosons. Theory predicts that these exotic excitations can be realized as bound states…

Geometric Phase in Quantum Mechanics is generally formulated entirely in terms of geometric structure of the Complex Hilbert Space. We will exploit this fact in case of mixed states for three level open systems undergoing depolarization…

Quantum Physics · Physics 2025-11-12 Abhirup Chatterjee , Sobhan Kumar Sounda

We study characteristic aspects of the geometric phase which is associated with the generalized coherent states. This is determined by special orbits in the parameter space defining the coherent state, which is obtained as a solution of the…

Quantum Physics · Physics 2007-05-23 Masao Matsumoto , Hiroshi Kuratsuji

The geometric phase is a universal concept in modern physics and has enabled the development of metasurfaces for versatile wavefront shaping. However, its realization in metasurfaces has been restricted to circularly polarized light,…

Optics · Physics 2025-11-11 Yubin Gao , Qikai Chen , Yaoguang Ma

We apply the Pancharatnam-Berry phase approach to plasmonic metasurfaces loaded by highly nonlinear multi-quantum well substrates, establishing a platform to control the nonlinear wavefront at will based on giant localized nonlinear…

A theoretical analysis of Pancharatnam and Berry phases is made for biphoton three-level systems, which are produced via frequency degenerate co-linear spontaneous parametric down conversion (SPDC). The general theory of Pancharatnam phases…

Quantum Physics · Physics 2015-06-26 Y. Ben-Aryeh

X-ray as well as electron diffraction are powerful tools for structure determination of molecules. Studies on randomly oriented molecules in the gas-phase address cases in which molecular crystals cannot be generated or the interaction-free…