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Slicing the Vacuum
A new simple symmetric solution to the
dynamical Casimir effect
Michael R.R. Good
Nazarbayev University
ECL17: Exploring the Energetic Universe 2017
Nazarbayev University, Astana, August 2017
Grants: US DOE: DE-SC-0007867, D-AC02-05CH11231
JSF 15-07-0000, ORAU and Social Policy
Talk based on: [Michael Good and Eric Linder] 1605.0663 [gr-cq]
Static Casimir
Dynamic Casimir
Reflections on Black Mirrors
Hawking, S. W.
“Particle Creation by Black Holes”, CMP, 1975
The Model
• Massless Particles
• Scalar Field
• 1+1 Dimensions
• Non-interacting
• Minimally Coupled
• Klein-Gordon Equ.
•
Davies, P. C. W and S. A. Fulling
“Radiation from Moving Mirrors and Black Holes”, PRS, 1976, 77
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Energy and Rapidity
Energy and Rapidity
Energy and Rapidity
Particles and Spectrum
Particles and Spectrum
Particles and Spectrum
Consistency Check
Walker, W.R.
“Particle and Energy Creation by Moving Mirrors”. PRD, 1985
Consistency Check
Walker, W.R.
“Particle and Energy Creation by Moving Mirrors”. PRD, 1985
Consistency Check
Walker, W.R.
“Particle and Energy Creation by Moving Mirrors”. PRD, 1985
Apples and Oranges
• Must not accelerate forever.
• Must be asymptotically inertial.
• Must emit negative energy flux.
Good, M.R.R., Anderson, P.R., and Evans, C.R.
“Mirror Reflections of a Black Hole” ,PRD, 2016.
Asymptotic Static:
Asymptotic Drift:
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Conclusions
• A finite symmetric analytic model exists.
• The simplest example of Casimir light.
• An eternal red-shift indicates a remnant.
• A fast speed indicates a temperature.
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Entropy and Rapidity
Good, M. R. R. and Y. C. Ong
“A Black Hole Death Gasp”, JHEP, 2015
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Carlitz R.D. and R.S. Willey,
“Reflections on Moving Mirrors”. PRD, 1987
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Product Log
Product Log
Evolution to Equilibrium
Evolution to Equilibrium
Good, M.R.R., Anderson, P.R., and Evans, C.R.
“Mirror Reflections of a Black Hole” ,PRD, 2016.

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Notes de l'éditeur

  1. Motion Induced Radiation (MIR) Schwinger Radiation Casimir Light Moving Mirrors Non-stationary Casimir Effect Davies-Fulling Effect
  2. At late times, it is well known that the moving mirror and black hole give off thermal emission. In the curved spacetime result, the kappa is the surface gravity, while in the flat spacetime + boundary condition result, the kappa is an acceleration parameter.
  3. Effects of acceleration will yield insights into the effects of gravitation. It is my hope that further study of these simple, exactly solvable, moving mirror models will enhance our understanding of the particle and energy creation due to amplification of field fluctuations by strongly time dependent accelerations, or in the case of black hole evaporation, strong time dependent gravitational fields. Moving mirrors provide a simple laboratory to construct the mathematical machinery needed to understand the time evolution of black hole evaporation. And I’m optimistic that results like this will shed light on he dynamical Casimir effect, and black hole evaporation.
  4. But again, these eternal thermal moving mirror solutions don’t offer any non-equilibrium thermodynamics. Let’s take a look at what non-thermal moving mirror solutions can look like.
  5. The maximum of the distribution! Gives the product log.
  6. Entering Segway: These non-eternally thermal solutions have interesting early time behaviour. Both in terms of energy flux and particle creation. Exiting Segway: Let’s look at the exact correspondence and briefly investigate the meaning of the mirror trajectory in the black hole case.
  7. Entering Segway: These non-eternally thermal solutions have interesting early time behaviour. Both in terms of energy flux and particle creation. Exiting Segway: Let’s look at the exact correspondence and briefly investigate the meaning of the mirror trajectory in the black hole case.