Lindblad Master Equation | Open Quantum Systems & Kraus Operators
Quick Technical Answer:
The Lindblad Master Equation describes the Markovian non-unitary time evolution of an open quantum system's density matrix ρ coupled to an external thermal environment through Hamiltonian dynamics and dissipative jump operators L_k.
Formula / Unitary:
\frac{d\rho}{dt} = -\frac{i}{\hbar}[H, \rho] + \sum_k \left( L_k \rho L_k^\dagger - \frac{1}{2} \{L_k^\dagger L_k, \rho\} \right)
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Frequently Asked Questions
What is the relationship between Lindblad jump operators and Kraus channels?
Integrating the Lindblad equation over a discrete time step Δt produces a Completely Positive Trace-Preserving (CPTP) quantum map represented by Kraus operators: ρ(t+Δt) = ∑ E_k ρ(t) E_k†.