Phonon and photon correlation functions for a continuously driven system evolved through the hierarchical equations of motion
B. S. Humphries,a D. Green,a M. O. Borghb and G. A. Jonesa
a) School of Chemistry, University of East Anglia, Norwich Research Park, NR4 7TJ, UK
b) Physics, Faculty of Science, University of East Anglia, Norwich Research Park, NR4 7TJ, UK
Email: b.humphries@uea.ac.uk
It is the role of current quantum optics to reveal and classify the nature of non-classical effects within electromagnetic fields. Many methods and metrics have been proposed for probing the quantum behaviour of light, ranging from Michelson type interferometry for photon detection,1 to the degree of coherence.2 In this work we consider first and second order correlation functions, g(1)/(2)(t),3 via the quantum regression formula of Lax et al.4 The system of interest considered is a molecule with electronic and vibrational degrees of freedom, coupled to an external heat bath, and it is evolved through the hierarchical equations of motion (HEOM),4 which we derive in detail. This talk is a continuation of work presented in the poster of the same name.
Figure 1. Wavepacket projection of the monomer ground and excited states when the system reorganisation energy is zero, and 2λ, and when the bath reorganisation energy is zero or 2η.
References
- A. Yoshizawa, D. Fukuda, and H. Tsuchida, in 2013 Conf. Lasers Electro-Optics Pacific Rim (IEEE, 2013) pp. 1–2
- J. K. Kalaga, W. Leonski, R. Szczsniak, and J. Perina, Entropy 24, 1 (2022)
- H. J. Carmichael, Statistical Methods in Quantum Optics 1 (Springer Berlin Heidelberg, Berlin, Heidelberg, 1999) pp. 19–24.
- M. Lax, Physical Review 129, 5, (1963), p. 2342-2348
- Y. Tanimura and R. Kubo, J. Phys. Soc. Japan 58, 101 (1989)
Ben S. Humphries 