MASTER EQUATIONS IN QUANTUM OPTICS: SOME GENERALIZATIONS

The following sections are included:

• INTRODUCTION

• THE SYSTEM-RESERVOIR MODEL AND THE CLASSICAL AND QUANTUM THEORIES OF RELAXATION

  • Classical system-reservoir theory

  • Quantum theory of system-reservoir interaction: the master equation

• GENERALIZATIONS OF THE MASTER EQUATION

  • Master equation for nonlinear systems

    • The master equation

    • Applications

  • Master equation for systems driven by ultrastrong field

    • The master equation

    • Application: Field-dependent relaxation

  • Non-Markovian master equation for linear systems

    • The basic equation

    • Applications

  • Non-Markovian master equation for nonlinear systems

    • Application

  • Master equation for systems stochastically perturbed

    • The basic equation

    • Applications

  • Master equation for reservoirs prepared in correlated states

    • The model and the basic equation

    • Applications

  • The master equation for squeezed reservoirs

    • The basic equations

    • Applications

    • Master equation for phase-sensitive reservoirs

• An Overview of Some Related Developments

• Conclusion

• Acknowledgements

• References

• Figures