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Finite Size Detectors in RQI Antony R. Lee With Ivette Fuentes University of Nottingham

Finite Size Detectors in RQI Antony R. Lee With Ivette Fuentes University of Nottingham. Detector Trajectories. Inertial trajectory. Simplest trajectory Intuitive idea of rigidity No spontaneous transitions. Antony Richard Lee. RQI 2012 – Perimeter Institute. Unruh Mode Detectors.

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Finite Size Detectors in RQI Antony R. Lee With Ivette Fuentes University of Nottingham

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  1. Finite Size Detectors in RQIAntony R. LeeWithIvetteFuentes University of Nottingham

  2. Detector Trajectories Inertial trajectory • Simplest trajectory • Intuitive idea of rigidity • No spontaneous transitions Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  3. Detector Trajectories Accelerated trajectory • Described by Rindler coordinates • Thermal spectrum Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  4. Detector Model System action Smeared field Takagi: PTPS (1986) Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  5. Transition Rate Instantaneous transition rate Wightmann-function Schlicht: Class.Quant.Grav. (2004) Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  6. Minkowski Modes Field expansion Mode definition Smearing E.M-M, M.M., M. Del Ray (in prep.) Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  7. Rindler Modes Field expansion Mode definition Smearing Rindler Wedge Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  8. Unruh Modes Mode definition Right Rindler wedge Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  9. Vacuum Transition Rates Wightmann-function revisited Transition rates (Inertial) (Accelerated) Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  10. Normalised States State definition State normalisation Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  11. Single Unruh Particle Wightmann function Wightmann-function Unruh particle contribution Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  12. Single Unruh Particle Transition Rates Transition rate definition New contribution A.R.L & I. Fuentes (in prep.) Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  13. Conclusions • We looked at the effects of spatial profiles for Unruh-DeWitt detectors • Interaction Hamiltonians can be constructed such that the field is peaked around some desired frequency • The transition rates of these detectors can have a thermal signature but with an oscillatory contribution Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  14. Future Work • Extensions to different fields • Consider different couplings • Cavities Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

  15. Thank you Antony Richard Lee RQI 2012 – Perimeter Institute Unruh Mode Detectors

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