Bath induced coherence and the secular approximation
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Finding efficient descriptions of how an environment affects a collection of discrete quantum systems would lead to new insights into many areas of modern physics. Markovian, or time-local, methods work well for individual systems, but for groups a question arises: does system-bath or inter-system coupling dominate the dissipative dynamics? The answer has profound consequences for the long-time quantum correlations within the system. We consider two bosonic modes coupled to a bath. By comparing an exact solution to different Markovian master equations, we find that a smooth crossover of the equations-of-motion between dominant inter-system and system-bath coupling exists - but requires a non-secular master equation. We predict a singular behaviour of the dynamics, and show that the ultimate failure of non-secular equations of motion is essentially a failure of the Markov approximation. Our findings justify the use of time-local theories throughout the crossover between system-bath dominated and inter-system-coupling dominated dynamics.
Eastham , P R , Kirton , P , Cammack , H M , Lovett , B W & Keeling , J 2016 , ' Bath induced coherence and the secular approximation ' , Physical Review. A, Atomic, molecular, and optical physics , vol. 94 , no. 1 , 012110 . https://doi.org/10.1103/PhysRevA.94.012110
Physical Review. A, Atomic, molecular, and optical physics
© 2016, American Physical Society. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at journals.aps.org / https://dx.doi.org/10.1103/PhysRevA.94.012110