Dynamic Casimir Effect - Institute for Research in...
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Dynamic Casimir Effect
Jalal SarabadaniIASBS
May 2007, IPM
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July,1909 May, 2000
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motivationthe Casimir effectmode summation
dynamic Casimir effectcavity with two conducting platescavity with conducting and permeable plates
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motivation
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The Casimir force can be measured if the mirrors are within microns of each other [1]
weight of the water droplet
[1] A. Lambrecht, Phys. World, 29, september (2002).[2] E. Buks and M. L. Roukes and et.al., PRB 63, 033402 (2001),
Nature (London) 419, 119 (2002).
The Casimir force can cause the tiny elements inMicroelectromechanical systems (MEMS) to stick together
[2]
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the Casimir effect [3]mode summation
The zero point energy inside the cavity is:
[3] H. B. G. Casimir, Proc. K. Akad. Wet. 51, 793 (1948).
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The potential energy of the system whenthe plates are separated by a distance d is
The attractive force per unit area between the plates is
This is the Casimir force.
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dynamic Casimir effectcavity with two conducting plates [4]
Path-integral formalism
[4] T. Emig et al, PRA 67, 022114 (2003).
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Substituting Delta functionsPerforming the Gaussian integration over the
field
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The perpendicular forces exerted on each plate
The dissipation rate
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Our result using path integral formalism [5]
Result of Neto [6] using second quantization formalism
[5] J. Sarabadani and M. F. Miri, PRA 74, 023801 (2006).[6] D.F. Mundarain and P. A. Maia Neto, PRA 57, 1379 (1998).
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Perpendicular motion of two plates Using the Neumann B.C. [5]
Perpendicular motion of two plates Using the Dirichlet B.C. [5]
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dynamic Casimir effectcavity with conducting and permeable plates
[7]Second quantization formalism
[7] J. Sarabadani and M. F. Miri, Accepted in PRA (2007).
cavity with two conducting plates [5]Perpendicular motion of two plates Using the Dirichlet and Neumann B.C. in a cavity [7]
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-Static Casimir force between two parallel nanotubes
-Static Casimir force between a nanotube and a rough plate
-Static Casimir force at finite temperature for a cavity
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