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Non‐Markovian Effects in a Simple Photonic Band Gap Cavity
Author(s) -
FonsecaRomero K.M.
Publication year - 2000
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200007)220:1<799::aid-pssb799>3.0.co;2-e
Subject(s) - simple (philosophy) , momentum (technical analysis) , physics , photonics , band gap , statistical physics , schrödinger equation , zero (linguistics) , markov process , quantum mechanics , mathematics , philosophy , linguistics , statistics , epistemology , finance , economics
We propose a simple model for a cavity in a 1D photonic band gap material. It is shown that the exact dynamics contains three real functions of time, implicitly defined through an integrodifferential equation, all of them experimentally accessible. Several initial conditions are analyzed: (generalized) coherent states at finite temperature and Schrdinger cat states at zero temperature. We use the simplest energy momentum relation which allows for a band gap and show that the perturbative solution of the integrodifferential equation presents non‐Markovian features.