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000811604 041__ $$aEnglish
000811604 1001_ $$0P:(DE-HGF)0$$aNovotny, Mark$$b0$$eCorresponding author
000811604 1112_ $$a26th IUPAP International conference on Statistical Physics$$cLyon$$d2016-07-18 - 2016-07-22$$gSTATPHYS'26$$wFrance
000811604 245__ $$aDecoherence and Thermalization at Finite Temperatures for Quantum Systems
000811604 260__ $$c2016
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000811604 520__ $$aWe consider a quantum system $S$ with Hamiltonian ${\cal H}_S$ coupled via a Hamiltonian ${\cal H}_{SE}$ to a quantum environment $E$ with Hamiltonian ${\cal H}_E$.  We assume the entirety $S+E$ is in a canonical-thermal state at an inverse temperature $\beta$.   The entirety is a closed quantum system which evolves via the time-dependent Schr{\”o}dinger equation with Hamiltonian ${\cal H}={\cal H}_S+{\cal H}_E+\lambda{\cal H}_{SE}$ where $\lambda$ is the overall strength of the system-environment coupling.  Using both large-scale simulations and perturbation theory calculations in $\lambda$, we have studied a measure $\sigma(t)$ for decoherence and $\delta(t)$ for thermalization of $S$.  We performed large-scale parallel calculations on spin systems with up to $N=40$ spins in the entirety, with both real-time and imaginary-time quantum calculations.  We performed perturbation theory calculations about $\lambda=0$ and fluctuations about the average for the canonical-thermal ensemble, for both $\sigma$ and $\delta$.  We obtained closed form expressions for both $\sigma$ and $\delta$, in terms of the free energies of $S$ and $E$.  Our perturbation theory calculations agree very well with our numerical calculations, at least as long as $\beta\lambda$ is small.
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000811604 7001_ $$0P:(DE-Juel1)144355$$aJin, Fengping$$b1$$ufzj
000811604 7001_ $$0P:(DE-HGF)0$$aYuan, Shengjun$$b2
000811604 7001_ $$0P:(DE-HGF)0$$aMiyashita, Seiji$$b3
000811604 7001_ $$0P:(DE-HGF)0$$aDe Raedt, Hans$$b4
000811604 7001_ $$0P:(DE-Juel1)138295$$aMichielsen, Kristel$$b5$$ufzj
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