Non-Markovian Dynamics and the Quantum-To-Classical Transition for Quantum Brownian Motion
Pysyvä osoite
Verkkojulkaisu
DOI
Tiivistelmä
In this Thesis I discuss the dynamics of the quantum Brownian motion model
in harmonic potential. This paradigmatic model has an exact solution, making
it possible to consider also analytically the non-Markovian dynamics.
The issues covered in this Thesis are themed around decoherence. First, I
consider decoherence as the mediator of quantum-to-classical transition. I examine
five different definitions for nonclassicality of quantum states, and show
how each definition gives qualitatively different times for the onset of classicality.
In particular I have found that all characterizations of nonclassicality,
apart from one based on the interference term in the Wigner function, result
in a finite, rather than asymptotic, time for the emergence of classicality.
Second, I examine the diverse effects which coupling to a non-Markovian,
structured reservoir, has on our system. By comparing different types of Ohmic
reservoirs, I derive some general conclusions on the role of the reservoir spectrum
in both the short-time and the thermalization dynamics. Finally, I apply
these results to two schemes for decoherence control. Both of the methods are
based on the non-Markovian properties of the dynamics.
Kuvaus
Siirretty Doriasta
Sarja
Turun yliopiston julkaisuja. Sarja AI, Chemica - Physica – Mathematica|439
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