Biorthonormal eigenbasis of a Markovian master equation for the quantum Brownian motion

DOI10.1063/1.3005968zbMath1159.81342OpenAlexW2089324458MaRDI QIDQ3624642

B. A. Tay, Tomio Petrosky

Publication date: 30 April 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ea637927016f8040586574cf8c540cf16ef7642c

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (5)

Eigenvalues of the liouvillians of quantum master equation for a harmonic oscillator ⋮ Equilibrium properties and decoherence of an open harmonic oscillator ⋮ Biorthonormal systems in Freud-type weighted spaces with infinitely many zeros -- an interpolation problem ⋮ Liouvillian exceptional points in continuous variable system ⋮ Spectral resolution of the Liouvillian of the Lindblad master equation for a harmonic oscillator

Cites Work

• Quantum decoherence, Zeno process, and time symmetry breaking
• Decoherence, einselection, and the quantum origins of the classical
• Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise
• Quantum Optics
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