| Hauptseite > Publikationsdatenbank > Decoherence and Thermalization at Finite Temperatures for Quantum Systems > print |
| 001 | 811604 | ||
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| 041 | _ | _ | |a English |
| 100 | 1 | _ | |a Novotny, Mark |0 P:(DE-HGF)0 |b 0 |e Corresponding author |
| 111 | 2 | _ | |a 26th IUPAP International conference on Statistical Physics |g STATPHYS'26 |c Lyon |d 2016-07-18 - 2016-07-22 |w France |
| 245 | _ | _ | |a Decoherence and Thermalization at Finite Temperatures for Quantum Systems |
| 260 | _ | _ | |c 2016 |
| 336 | 7 | _ | |a Conference Paper |0 33 |2 EndNote |
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| 520 | _ | _ | |a We 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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