Dynamics of Characteristic and One-Point Correlation Functions of Multi-Mode Bosonic Systems: Exactly Solvable Model

Symmetry

Andrei V. Rybin¹  Ranim Ali²  Alexei D. Kiselev³ 

[1] Center of Information Optical Technology, ITMO University, Birzhevaya Line 14a, 199034 Saint Petersburg, Russia;Faculty of Photonics, ITMO University, Kadetskaya Line 3b, 199034 Saint Petersburg, Russia;Laboratory of Quantum Processes and Measurements, ITMO University, Kadetskaya Line 3b, 199034 Saint Petersburg, Russia;

关键词: open quantum system;    Lindblad equation;    characteristic function;    one-point correlation function;   

DOI  :  10.3390/sym13122309

来源: DOAJ

【 摘 要 】

In this communication we study dynamics of the open quantum bosonic system governed by the generalized Lindblad equation with both dynamical and environment induced intermode couplings taken into account. By using the method of characteristics we deduce the analytical expression for the normally ordered characteristic function. Analytical results for one-point correlation functions describing temporal evolution of the covariance matrix are obtained.

【 授权许可】

Unknown