No quantum system is ever completely isolated. At the very least, it must be coupled to the outside world when we make measurements. In this chapter we discuss techniques to treat open quantum systems. We consider the system of interest as weakly coupled to an environment which remains close to a steady state. We first derive a master equation for the density operator of the open system in the Schrödinger or interaction picture. Using the quasi-probability representations for the density operator, the master equation may be converted to a c-number Fokker–Planck equation. We describe an alternative formulation in terms of quantum stochastic differential equations, replacing the Heisenberg equations of motion for closed quantum systems.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Open Quantum Systems

  • D. F. Walls,
  • Gerard J. Milburn

摘要

No quantum system is ever completely isolated. At the very least, it must be coupled to the outside world when we make measurements. In this chapter we discuss techniques to treat open quantum systems. We consider the system of interest as weakly coupled to an environment which remains close to a steady state. We first derive a master equation for the density operator of the open system in the Schrödinger or interaction picture. Using the quasi-probability representations for the density operator, the master equation may be converted to a c-number Fokker–Planck equation. We describe an alternative formulation in terms of quantum stochastic differential equations, replacing the Heisenberg equations of motion for closed quantum systems.