Algebraic solution of master equations in quantum optics

Abstract

The techniques in thermo field dynamics are applied to solve a certain class of master equations associated with su(1,1) × su(1,1) symmetries exactly by an algebraic approach using disentanglement theorem.

Keywords:

• master equation
• squeezed states
• disentanglement theorem
• algebraic solution

Acknowledgements

The author would like to thank Prof. V. Srinivasan for his teaching, guidance and encouragement to complete this work.

Notes

Note

1. The action of on the second entry of the state vector and their commutation relations with the creation and annihilation operators a on the Hilbert space H is zero, under this action goes to , this property is called the tildian. This has connection to C* algebra.