Exact decoherence in an environment-free measurement model brought by a position-limited initial state of the probe and pointer

  • John Paul A. Besagas National Institute of Physics, University of the Philippines Diliman
  • Eric A. Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

We demonstrate the implementation of the measurement of the energy observable of a quantum harmonic oscillator by using the environment-free measurement model wherein the probe and the pointer of the apparatus are treated as different quantum systems. When the probe and pointer are initially in position-limited initial states, exact decoherence can be induced at a finite time and the emerging pointer states are exactly orthogonal at a finite time after the former has occurred. Closed forms for the functions and time scales relevant to decoherence and orthogonality of pointer states are obtained.

Published
2018-05-11
How to Cite
[1]
J. P. Besagas and E. Galapon. Exact decoherence in an environment-free measurement model brought by a position-limited initial state of the probe and pointer, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-3B-02 (2018). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2018-3B-02.
Section
Theoretical and Mathematical Physics