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Geometric phase may enable inherently fault-tolerant quantum computation. However, due to potential decoherence effects, it is important to understand how such phases arise for {\it mixed} input states. We report the first experiment to…

Geometric phases play a central role in a variety of quantum phenomena, especially in condensed matter physics. Recently, it was shown that this fundamental concept exhibits a connection to quantum phase transitions where the system…

Quantum Physics · Physics 2015-05-20 Xinhua Peng , Sanfeng Wu , Jun Li , Dieter Suter , Jiangfeng Du

Precise measurement of the angular deviation of an object is a common task in science and technology. Many methods use light for this purpose. Some of these exploit interference effects to achieve technological advantages, such as…

Quantum Physics · Physics 2020-08-19 G. H. Aguilar , R. S. Piera , P. L. Saldanha , R. L. de Matos Filho , S. P. Walborn

We analyze the coherence properties of polarized neutrons, after they have interacted with a magnetic field or a phase shifter undergoing different kinds of statistical fluctuations. We endeavor to probe the degree of disorder of the…

Quantum Physics · Physics 2010-01-31 P. Facchi , A. Mariano , S. Pascazio

In a neutron polarimetry experiment the mixed state relative phases between spin eigenstates are determined from the maxima and minima of measured intensity oscillations. We consider evolutions leading to purely geometric, purely dynamical…

Quantum Physics · Physics 2009-11-13 J. Klepp , S. Sponar , S. Filipp , M. Lettner , G. Badurek , Y. Hasegawa

Intensity interferometry is a technique that has been used to measure the size of sources ranging from the quark-gluon plasma formed in heavy ion collisions to the radii of stars. We investigate using the same technique to measure…

High Energy Astrophysical Phenomena · Physics 2017-11-03 Warren P. Wright , James P. Kneller

When a quantum mechanical system undergoes an adiabatic cyclic evolution it acquires a geometrical phase factor in addition to the dynamical one. This effect has been demonstrated in a variety of microscopic systems. Advances in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Giuseppe Falci , Rosario Fazio , G. Massimo Palma , Jens Siewert , Vlatko Vedral

We report on recent results showing that the geometric phase can be used as a tool in the analysis of many different physical systems, as mixed boson systems, CPT and CP violations, Unruh effects and thermal states. We show that the…

High Energy Physics - Theory · Physics 2016-10-28 A. Capolupo , G. Vitiello

We present and implement a method for the experimental measurement of geometric phase of non-geodesic (small) circles on any SU(2) parameter space. This phase is measured by subtracting the dynamic phase contribution from the total phase…

Optics · Physics 2023-05-12 Andrew A. Voitiv , Mark T. Lusk , Mark E. Siemens

An interferometric scheme to study Abelian geometric phase shift over the manifold SU(N)/SU(N-1) is presented.

Quantum Physics · Physics 2007-05-23 Hubert de Guise , Barry C. Sanders , Stephen D. Bartlett , Weiping Zhang

The response of a pair of differently polarized antennas is determined by their polarization states AND a phase between them which has a geometric part which becomes discontinuous at singular points in the parameter space. Such phase…

Astrophysics · Physics 2016-08-30 Rajendra Bhandari

Multi-photon interference results in modulations of output probabilities with phase shift periods that are much shorter than 2 Pi. Here, we investigate the physics behind these statistical patterns in the case of well-defined photon numbers…

Quantum Physics · Physics 2016-10-12 Holger F. Hofmann , Keito Hibino , Kazuya Fujiwara , Jun-Yi Wu

We study the geometric phase acquired by an inertial atom whose trajectories are parallel to a reflecting boundary due its coupling to vacuum fluctuations of electromagnetic fields, by treating the atom as an open quantum system in a bath…

Quantum Physics · Physics 2012-12-14 Hongwei Yu , Jiawei Hu

In experiments searching for a nonzero electric dipole moment of trapped particles, frequency shifts correlated with an applied electric field can be interpreted as a false signal. One such effect, referred to as the geometric phase effect,…

Nuclear Experiment · Physics 2012-05-03 Guillaume Pignol , Stephanie Roccia

Generalizing an earlier definition of the noncyclic geometric phase (R.Bhandari, Phys.Lett.A, 157, 221 (1991)), a nonmodular topological phase is defined with reference to a generic time-dependent two-slit interference experiment involving…

Optics · Physics 2015-05-14 Rajendra Bhandari

Neutron grating interferometry provides information on phase and small-angle scatter in addition to attenuation. Previously, phase grating moir\'e interferometers (PGMI) with two- or three-phase gratings have been developed. These…

Instrumentation and Detectors · Physics 2023-04-19 I. J. Hidrovo , J. Dey , H. Meyer , D. S. Hussey , N. N. Klimov , L. G. Butler , K. Ham , W. Newhauser

Magnetometry is a powerful technique for the non-invasive study of biological and physical systems. A key challenge lies in the simultaneous optimization of magnetic field sensitivity and maximum field range. In interferometry-based…

We present the first scheme for producing and measuring an Abelian geometric phase shift in a three-level system where states are invariant under a non-Abelian group. In contrast to existing experiments and proposals for experiments, based…

Quantum Physics · Physics 2007-05-23 Barry C. Sanders , Hubert de Guise , Stephen D. Bartlett , Weiping Zhang

The interaction of Na atoms with a surface was probed by inserting a nanofabricated material grating into one arm of an atom interferometer (IFM). This technique permits a direct measurement of the change in phase and coherence of matter…

Atomic Physics · Physics 2009-11-11 John D. Perreault , Alexander D. Cronin

Geometric phase shift associated with an electron propagating through a dimerized-disordered continuum is shown to be 0, or $\pm \pi$ (modulo 2$\pi$), according as the associated circuit traversed in the two-dimensional parameter space…

Condensed Matter · Physics 2009-10-30 Prabhakar Pradhan , N. Kumar