Quantum Lindblad Equation (Q4589)
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describes open system quantum dynamics including dissipation and/or decoherence
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantum Lindblad Equation |
describes open system quantum dynamics including dissipation and/or decoherence |
Statements
Markovian quantum master equation for the evolution of quantum mechanical density matrices (pure or mixed states). It generalizes the Schrödinger equation to open quantum systems; that is, systems in contacts with their surroundings. The resulting dynamics is no longer unitary, but still satisfies the property of being trace-preserving and completely positive for any initial condition
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![{\displaystyle \frac{\mathrm d}{\mathrm{d}t}\rho=-\frac{\mathrm i}\hbar[H,\rho]+\sum _{i=1}^{N^2-1}\gamma_i\left(L_i\rho L_i^\dagger-\frac12[L_i^\dagger L_i,\rho]_+\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7cdfe116757886913f8b1242b2fd73039fd3be9c)
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