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Symmetry
Volume 13
Issue 12
10.3390/sym13122309
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Communication

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

by
Alexei D. Kiselev
1,*,
Ranim Ali
2 and
Andrei V. Rybin
3,*
1
Laboratory of Quantum Processes and Measurements, ITMO University, Kadetskaya Line 3b, 199034 Saint Petersburg, Russia
2
Faculty of Photonics, ITMO University, Kadetskaya Line 3b, 199034 Saint Petersburg, Russia
3
Center of Information Optical Technology, ITMO University, Birzhevaya Line 14a, 199034 Saint Petersburg, Russia
*
Authors to whom correspondence should be addressed.
Symmetry 2021, 13(12), 2309; https://doi.org/10.3390/sym13122309
Submission received: 14 October 2021 / Revised: 23 November 2021 / Accepted: 1 December 2021 / Published: 3 December 2021
Versions Notes

Abstract

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.
Keywords: open quantum system; Lindblad equation; characteristic function; one-point correlation function open quantum system; Lindblad equation; characteristic function; one-point correlation function

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MDPI and ACS Style

Kiselev, A.D.; Ali, R.; Rybin, A.V. Dynamics of Characteristic and One-Point Correlation Functions of Multi-Mode Bosonic Systems: Exactly Solvable Model. Symmetry 2021, 13, 2309. https://doi.org/10.3390/sym13122309

AMA Style

Kiselev AD, Ali R, Rybin AV. Dynamics of Characteristic and One-Point Correlation Functions of Multi-Mode Bosonic Systems: Exactly Solvable Model. Symmetry. 2021; 13(12):2309. https://doi.org/10.3390/sym13122309

Chicago/Turabian Style

Kiselev, Alexei D., Ranim Ali, and Andrei V. Rybin. 2021. "Dynamics of Characteristic and One-Point Correlation Functions of Multi-Mode Bosonic Systems: Exactly Solvable Model" Symmetry 13, no. 12: 2309. https://doi.org/10.3390/sym13122309

APA Style

Kiselev, A. D., Ali, R., & Rybin, A. V. (2021). Dynamics of Characteristic and One-Point Correlation Functions of Multi-Mode Bosonic Systems: Exactly Solvable Model. Symmetry, 13(12), 2309. https://doi.org/10.3390/sym13122309

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