Search results for "Phase factor"

showing 3 items of 3 documents

Direct Evaluation of Path Integrals

2001

Every time τ n is assigned a point y n . We now connect the individual points with a classical path y(τ). y(τ) is not necessarily the (on-shell trajectory) extremum of the classical action. It can be any path between τ n and τn−1 specified by the classical Lagrangian \(L(y,\dot{y},t).\)

CombinatoricsPath (topology)PhysicsFree particlePhase factorsymbols.namesakePath integral formulationTrajectorysymbolsHarmonic oscillatorAction (physics)Schrödinger equation
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Detection of Geometric Phases in Superconducting Nanocircuits

2000

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 nanotechnologies should enable the laws of quantum dynamics to be tested at the macroscopic level, by providing controllable artificial two-level systems (for example, in quantum dots and superconducting devices). Here we propose an experimental method to detect geometric phases in a superconducting device. The setup is a Josephson junction nanocircuit consisting of a superconducting electron box. We discuss how interferometry based on geometrical phases may be real…

SuperconductivityJosephson effectPhysicsQuantum PhysicsMultidisciplinaryCondensed Matter - Mesoscale and Nanoscale PhysicsQuantum dynamicsFOS: Physical sciencesElectronPhase factorQuantum dotQuantum mechanicsCondensed Matter::SuperconductivityMesoscale and Nanoscale Physics (cond-mat.mes-hall)Quantum Physics (quant-ph)Adiabatic processQuantum computer
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Physical compensation of phase curvature in digital holographic microscopy by use of programmable liquid lens.

2015

Quantitative phase measurements obtained with digital holographic microscopes are strongly dependent on the optical arrangement of the imaging system. The nontelecentric operation provides phase measurements affected by a parabolic phase factor and requires numerical postprocessing, which does not always remove all the perturbation. Accurate phase measurements are achieved by using the imaging system in telecentric mode. Unfortunately, this condition is not accomplished when a commercial microscope is used as the imaging system. In this paper, we present an approach for obtaining accurate phase measurements in nontelecentric imaging systems without the need for numerical postprocessing. The…

WavefrontPhysicsMicroscopebusiness.industryMaterials Science (miscellaneous)HolographyPhysics::OpticsFresnel lensIndustrial and Manufacturing Engineeringlaw.inventionPhase factorOpticslawDigital holographic microscopyBusiness and International ManagementbusinessPhase retrievalDigital holographyApplied optics
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