scholarly journals Zeptometer Metrology Using the Casimir Effect

2022 ◽  
Author(s):  
Joshua Javor ◽  
Matthias Imboden ◽  
Alexander Stange ◽  
Zhancheng Yao ◽  
David K. Campbell ◽  
...  
Keyword(s):  
Casimir Force ◽  
Casimir Effect ◽  
Quantum Fluctuations ◽  
Parametric Amplifier ◽  
Classical Systems

AbstractIn this paper, we discuss using the Casimir force in conjunction with a MEMS parametric amplifier to construct a quantum displacement amplifier. Such a mechanical amplifier converts DC displacements into much larger AC oscillations via the quantum gain of the system which, in some cases, can be a factor of a million or more. This would allow one to build chip scale metrology systems with zeptometer positional resolution. This approach leverages quantum fluctuations to build a device with a sensitivity that can’t be obtained with classical systems.

scholarly journals NEW CONSTRAINTS ON YUKAWA-TYPE INTERACTIONS FROM THE CASIMIR EFFECT

2012 ◽  
Vol 14 ◽  
pp. 200-214
Author(s):  
V. M. MOSTEPANENKO ◽  
V. B. BEZERRA ◽  
G. L. KLIMCHITSKAYA ◽  
C. ROMERO
Keyword(s):  
Standard Model ◽  
Casimir Force ◽  
Casimir Effect ◽  
Beyond The Standard Model ◽  
Exact Theory ◽  
The Standard Model

Measurements of the Casimir force are used to obtain stronger constraints on the parameters of hypothetical interactions predicted in different unification schemes beyond the Standard Model. We review new strong constraints on the Yukawa-type interactions derived during the last two years from recent experiments on measuring the lateral Casimir force, Casimir force in configurations with corrugated boundaries and the Casimir-Polder force. Specifically, from measurements of the lateral Casimir force compared with the exact theory the strengthening of constraints up to a factor of 24 millions was achieved. We also discuss further possibilities to strengthen constraints on the Yukawa interactions from the Casimir effect.

CASIMIR FORCE BETWEEN A GRAVITATIONAL FIELD AND A FINITE OBJECT

2002 ◽  
Vol 11 (10) ◽  
pp. 1567-1572 ◽  
Author(s):  
FABRIZIO PINTO
Keyword(s):  
Gravitational Field ◽  
Casimir Force ◽  
Casimir Effect ◽  
Finite Size ◽  
Zero Point ◽  
Point Energy ◽  
Energy Field ◽  
Static Gravitational Field ◽  
Vacuum Gap ◽  
Infinite Media

In the typical Casimir effect, the boundaries of two semi-infinite media exert a force upon one another across a vacuum gap separating them. In this paper, I argue that a static gravitational field can be regarded as a "soft" boundary which interacts with a test object of finite size through the electromagnetic zero-point-energy field. Therefore, a pressure exists upon a single slab placed in a gravitational field and surrounded by a vacuum. Interestingly, this extremely small Casimir pressure of the gravitational field may cause relative displacements in ground-based sensing microstructures larger than those from astrophysical gravitational waves in macroscopic antennas.

Quantum fluctuations and the Casimir effect

2020 ◽  
Vol 29 (08) ◽  
pp. 2050059 ◽  
Author(s):  
Daniel Chemisana ◽  
Jaume Giné ◽  
Jaime Madrid
Keyword(s):  
Spherical Shell ◽  
Uncertainty Principle ◽  
Casimir Effect ◽  
Quantum Fluctuations ◽  
Casimir Energy ◽  
Effective Radius ◽  
Vacuum Fluctuations ◽  
Effective Distance ◽  
Observable Consequence

The most important observable consequence of the vacuum fluctuations is the Casimir effect. Its classical manifestation is a force between two uncharged conductive plates placed a few nanometers apart. In this work, we improve the deduction of the Casimir effect from the uncertainty principle by using an effective radius for the quantum fluctuations. Moreover, the existence of this effective distance is discussed. Finally, a heuristic derivation of the Casimir energy for a spherical shell and a sphere-plate cases is given.

scholarly journals The Casimir effect for thick pistons

2016 ◽  
Vol 31 (06) ◽  
pp. 1650012
Author(s):  
Guglielmo Fucci
Keyword(s):  
Boundary Conditions ◽  
Zeta Function ◽  
Regularization Method ◽  
Casimir Force ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Numerical Results ◽  
Spectral Zeta Function

In this work, we analyze the Casimir energy and force for a thick piston configuration. This study is performed by utilizing the spectral zeta function regularization method. The results we obtain for the Casimir energy and force depend explicitly on the parameters that describe the general self-adjoint boundary conditions imposed. Numerical results for the Casimir force are provided for specific types of boundary conditions and are also compared to the corresponding force on an infinitely thin piston.

scholarly journals ON THE CASIMIR EFFECT FOR PARALLEL PLATES IN THE SPACETIME WITH ONE EXTRA COMPACTIFIED DIMENSION

2006 ◽  
Vol 21 (25) ◽  
pp. 1957-1963 ◽  
Author(s):  
HONGBO CHENG
Keyword(s):  
Extra Dimension ◽  
Casimir Force ◽  
Casimir Effect ◽  
Universal Extra Dimension ◽  
Parallel Plates

In this paper, the Casimir effect for parallel plates in the presence of one compactified universal extra dimension is re-examined in detail. Having regularized the expressions of Casimir force, we show that the nature of Casimir force is repulsive if the distance between the plates is large enough, which does not agree with the experimental phenomena.

Chern-Simons boundary layers in the Casimir effect

2020 ◽  
Vol 35 (03) ◽  
pp. 2040015 ◽  
Author(s):  
Valery N. Marachevsky
Keyword(s):  
Boundary Layers ◽  
Casimir Force ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Energy Minimum ◽  
Strong Reduction ◽  
Si Substrates ◽  
Glass Substrates ◽  
Chern Simons ◽  
Substrate Influence

Casimir interaction of two SiO2 glass half spaces being substrates for Chern-Simons boundary layers is studied. The separation between two half spaces at which the Casimir energy minimum occurs is strongly increased for dielectric SiO2 glass substrates in comparison with previously considered metal Au and semiconductor Si substrates. Strong reduction in the Casimir force due to presence of Chern-Simons layers is found for SiO2 glass substrate. Influence of modification of the infrared absorption on the Casimir force is studied.

scholarly journals QUANTUM SPRING

2012 ◽  
Vol 07 ◽  
pp. 165-173 ◽  
Author(s):  
CHAO-JUN FENG ◽  
XIN-ZHOU LI
Keyword(s):  
Boundary Condition ◽  
Casimir Force ◽  
Casimir Effect ◽  
Quantum Effect ◽  
Short Review ◽  
The Other ◽  
Three Dimensions ◽  
Hooke’S Law ◽  
Other Hand ◽  
Hooke's Law

In this paper, we will give a short review on quantum spring, which is a Casimir effect from the helix boundary condition that proposed in our earlier works. The Casimir force parallel to the axis of the helix behaves very much like the force on a spring that obeys the Hooke's law when the ratio r of the pitch to the circumference of the helix is small, but in this case, the force comes from a quantum effect, so we would like to call it quantum spring. On the other hand, the force perpendicular to the axis decreases monotonously with the increasing of the ratio r. Both forces are attractive and their behaviors are the same in two and three dimensions.

On Convergence Generation in Computing the Electro-Magnetic Casimir Force

2008 ◽  
Vol 63 (9) ◽  
pp. 571-574
Author(s):  
Frédéric Schuller
Keyword(s):  
Casimir Force ◽  
Fundamental Problem ◽  
Casimir Effect ◽  
Zero Point ◽  
Zero Point Energy ◽  
Point Energy ◽  
Cavity Radiation ◽  
Field Fluctuations ◽  
Electro Magnetic

We tackle the very fundamental problem of zero-point energy divergence in the context of the Casimir effect. We calculate the Casimir force due to field fluctuations by using standard cavity radiation modes. The validity of convergence generation by means of an exponential energy cut-off factor is discussed in detail.

The Effect of Casimir Force to the Performance of the Micro-Accelerometer

2013 ◽  
Vol 562-565 ◽  
pp. 247-250 ◽  
Author(s):  
Li Shen ◽  
Shi Qiao Gao ◽  
Yan Wei Guan
Keyword(s):  
Empirical Formula ◽  
Casimir Force ◽  
Casimir Effect ◽  
Experimental Methods ◽  
Extreme Value ◽  
Numerical Fitting ◽  
Micro Accelerometer

Casimir had measured the Casimir force through experimental methods, and fitted the empirical formula between the plates. On its basis we analyse that when the gap of two separating surfaces achieves submicron in micro devices, the effect of the Casimir force to the micro-devices is great and this Casimir effect can not be ignored. The results show that: Considering the Casimir force or not, the extreme value of acceleration which can be detected by micro-accelerometer is different, and we have got the specific numerical fitting figure by Matlab .

scholarly journals Strong geometry dependence of the Casimir force between interpenetrated rectangular gratings

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Mingkang Wang ◽  
L. Tang ◽  
C. Y. Ng ◽  
Riccardo Messina ◽  
Brahim Guizal ◽  
...  
Keyword(s):  
Casimir Force ◽  
Quantum Fluctuations ◽  
Complex Geometries ◽  
Casimir Forces ◽  
Recent Advances ◽  
Geometry Dependence ◽  
Proximity Force Approximation ◽  
On Chip

AbstractQuantum fluctuations give rise to Casimir forces between two parallel conducting plates, the magnitude of which increases monotonically as the separation decreases. By introducing nanoscale gratings to the surfaces, recent advances have opened opportunities for controlling the Casimir force in complex geometries. Here, we measure the Casimir force between two rectangular silicon gratings. Using an on-chip detection platform, we achieve accurate alignment between the two gratings so that they interpenetrate as the separation is reduced. Just before interpenetration occurs, the measured Casimir force is found to have a geometry dependence that is much stronger than previous experiments, with deviations from the proximity force approximation reaching a factor of ~500. After the gratings interpenetrate each other, the Casimir force becomes non-zero and independent of displacement. This work shows that the presence of gratings can strongly modify the Casimir force to control the interaction between nanomechanical components.

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