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RESEARCH PRODUCT

Misbeliefs and misunderstandings about the non-Markovian dynamics of a damped harmonic oscillator

Francesco IntravaiaJyrki PiiloAntonino MessinaSabrina Maniscalco

subject

PhysicsDensity matrixQuantum PhysicsPhysics and Astronomy (miscellaneous)Dynamics (mechanics)FOS: Physical sciencesMarkov processType (model theory)Atomic and Molecular Physics and Opticssymbols.namesakeClassical mechanicsExact solutions in general relativitydecoherence non-Markovian dynamics damped harmonicoscillatorsymbolsRotating wave approximationQuantum Physics (quant-ph)Harmonic oscillator

description

We use the exact solution for the damped harmonic oscillator to discuss some relevant aspects of its open dynamics often mislead or misunderstood. We compare two different approximations both referred to as Rotating Wave Approximation. Using a specific example, we clarify some issues related to non--Markovian dynamics, non--Lindblad type dynamics, and positivity of the density matrix.

https://doi.org/10.1088/1464-4266/6/3/016