Quantum state atomic force microscopy

Passian, Ali; Siopsis, George

doi:10.1103/physreva.95.043812

Cited by 12 publications

(9 citation statements)

References 48 publications

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“…Cantilever and tip of AFM form a complex mechanical system that may include bending motion and torsion [11], but a simple harmonic oscillator model often suffices and will be used here. The tip is described in phase space as a point particle with position x(t) and momentum p(t) and its dynamics is governed by Newton's second law, ṗ = −kx − γ Q p + F dr (t) + F sf + F dis .…”

Section: Driving Scheme To Maximize Surface Interactionmentioning

confidence: 99%

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Nonlinear Atomic Force Microscopy: Squeezing and Skewness of Micro-Mechanical Oscillators interacting with a Surface

Marzlin,

Canam,

Agarwal

2021

Preprint

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We propose a two-frequency driving scheme in dynamic atomic force microscopy that maximizes the interaction time between tip and sample. Using a stochastic description of the cantilever dynamics, we predict large classical squeezing and a small amount of skewness of the tip's phase-space probability distribution. Strong position squeezing will require close contact between tip and surface, while momentum squeezing would also be possible in the van der Waals region of the tip-surface force. Employing a generalized Caldeira-Leggett model, we predict that surface-dependent dissipative forces may be the dominant source of quantum effects and propose a procedure to isolate quantum effects from thermal fluctuations.

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Section: Driving Scheme To Maximize Surface Interactionmentioning

confidence: 99%

“…We focus in particular on squeezing of thermal fluctuations, which could increase the resolution of AFM. Squeezing in AFM has been studied before within a quantum-mechanical model by Passian and Siopsis [10,11]. Our second goal is to find a driving scheme that enhances the generation of squeezing.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Atomic Force Microscopy: Squeezing and Skewness of Micro-Mechanical Oscillators interacting with a Surface

Marzlin,

Canam,

Agarwal

2021

Preprint

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“…They have also been used in other forms, where a particular quality of this material had been used for quantum mechanical studies. For example, silicon nitrate solutions have been prepared to determine the strong quantum squeezing for the detection of low-count photons [ 13 ] and scan probe microscopies [ 14 ]. Silicon has been typically used to form silicon nitrate solutions having Young’s modulus, Poisson’s ratio, and material density of 2.5 × 10 11 Pa, 0.23, and 3.1 × 10 3 kg/m 3 , respectively.…”

Section: Introductionmentioning

confidence: 99%

A Review on the Use of Impedimetric Sensors for the Inspection of Food Quality

Yuan

Nag

et al. 2020

IJERPH

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This paper exhibits a thorough review of the use of impedimetric sensors for the analysis of food quality. It helps to understand the contribution of some of the major types of impedimetric sensors that are used for this application. The deployment of impedimetric sensing prototypes has been advantageous due to their wide linear range of responses, detection of the target analyte at low concentrations, good stability, high accuracy and high reproducibility in the results. The choice of these sensors was classified on the basis of structure and the conductive material used to develop them. The first category included the use of nanomaterials such as graphene and metallic nanowires used to form the sensing devices. Different forms of graphene nanoparticles, such as nano-hybrids, nanosheets, and nano-powders, have been largely used to sense biomolecules in the micro-molar range. The use of conductive materials such as gold, copper, tungsten and tin to develop nanowire-based prototypes for the inspection of food quality has also been shown. The second category was based on conventional electromechanical circuits such as electronic noses and other smart systems. Within this sector, the standardized systems, such as electronic noses, and LC circuit -based systems have been explained. Finally, some of the challenges posed by the existing sensors have been listed out, along with an estimate of the increase in the number of sensors employed to assess food quality.

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“…Interaction of photos with surface plasmons has been studied extensively during the past five decades, particularly in relation to their application in scanning probe microscopy (SPM), they present a high potential for emerging applications in fields such as quantum sensing [2,[4][5][6]. It is known as a branch of microscopy that forms images of surfaces using a physical probe.…”

Section: Introductionmentioning

confidence: 99%

General Approach to Study Geometric Effects on Classical & Quantum Fields & Eigenmodes of Particles with Finite & Infinite Extend for Applications in Plasmonics & Scanning Probe Microscopy

Bagherian¹

2019

Preprint

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This manuscript provides a general approach to the investigation of field quantization in highcurvature geometries. The models and calculations can help with understanding the elastic and inelastic scattering of photons and electrons in nanostructures and probe-like metallic domains. The results find important applications in high-resolution photonic and electronic modalities of scanning probe microscopy, nano-optics, plasmonics, and quantum sensing. Quasistatic formulation, leading to nonretarded quantities, is employed and justified on the basis of the nanoscale, here subwavelength, dimensions of the considered domains of interest. Within the quasistatic framework, the nanostructure material domains with frequency-dependent dielectric functions is presented. Quantities associated with the normal modes of the electronic systems, the nonretarded plasmon dispersion relations, eigenmodes, and fields are then calculated for several geometric entities of use in nanoscience and nanotechnology. From the classical energy of the charge density oscillations in the modeled nanoparticle, the Hamiltonian of the system, which is used for quantization, is derived. The quantized plasmon field is obtained and, employing an interaction Hamiltonian derived from the first-order perturbation theory within the hydrodynamic model of an electron gas, an analytical expression for the radiative decay rate of the plasmons could be obtained. The established treatment could be applied to multiple geometries to investigate the quantized charge density oscillations on their bounding surfaces. For more on this, author is reffred to [1-3].

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Quantum state atomic force microscopy

Cited by 12 publications

References 48 publications

Nonlinear Atomic Force Microscopy: Squeezing and Skewness of Micro-Mechanical Oscillators interacting with a Surface

Nonlinear Atomic Force Microscopy: Squeezing and Skewness of Micro-Mechanical Oscillators interacting with a Surface

A Review on the Use of Impedimetric Sensors for the Inspection of Food Quality

General Approach to Study Geometric Effects on Classical & Quantum Fields & Eigenmodes of Particles with Finite & Infinite Extend for Applications in Plasmonics & Scanning Probe Microscopy

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