Energy of a free Brownian particle coupled to thermal vacuum
Abstract Experimentalists have come to temperatures very close to absolute zero at which physics that was once ordinary becomes extraordinary. In such a regime quantum effects and fluctuations start to play a dominant role. In this context we study the simplest open quantum system, namely, a free qu...
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Nature Portfolio
2021
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oai:doaj.org-article:eeac568eb6ca430ab6490d6613f89c732021-12-02T14:03:58ZEnergy of a free Brownian particle coupled to thermal vacuum10.1038/s41598-021-83617-y2045-2322https://doaj.org/article/eeac568eb6ca430ab6490d6613f89c732021-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-83617-yhttps://doaj.org/toc/2045-2322Abstract Experimentalists have come to temperatures very close to absolute zero at which physics that was once ordinary becomes extraordinary. In such a regime quantum effects and fluctuations start to play a dominant role. In this context we study the simplest open quantum system, namely, a free quantum Brownian particle coupled to thermal vacuum, i.e. thermostat in the limiting case of absolute zero temperature. We analyze the average energy $$E=E(c)$$ E = E ( c ) of the particle from a weak to strong interaction strength c between the particle and thermal vacuum. The impact of various dissipation mechanisms is considered. In the weak coupling regime the energy tends to zero as $$E(c) \sim c\, \ln {(1/c)}$$ E ( c ) ∼ c ln ( 1 / c ) while in the strong coupling regime it diverges to infinity as $$E(c) \sim \sqrt{c}$$ E ( c ) ∼ c . We demonstrate it for selected examples of the dissipation mechanisms defined by the memory kernel $$\gamma (t)$$ γ ( t ) of the Generalized Langevin Equation. We reveal how at a fixed value of c the energy E(c) depends on the dissipation model: one has to compare values of the derivative $$\gamma '(t)$$ γ ′ ( t ) of the dissipation function $$\gamma (t)$$ γ ( t ) at time $$t=0$$ t = 0 or at the memory time $$t=\tau _c$$ t = τ c which characterizes the degree of non-Markovianity of the Brownian particle dynamics. The impact of low temperature is also presented.J. SpiechowiczJ. ŁuczkaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-12 (2021) |
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Medicine R Science Q |
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Medicine R Science Q J. Spiechowicz J. Łuczka Energy of a free Brownian particle coupled to thermal vacuum |
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Abstract Experimentalists have come to temperatures very close to absolute zero at which physics that was once ordinary becomes extraordinary. In such a regime quantum effects and fluctuations start to play a dominant role. In this context we study the simplest open quantum system, namely, a free quantum Brownian particle coupled to thermal vacuum, i.e. thermostat in the limiting case of absolute zero temperature. We analyze the average energy $$E=E(c)$$ E = E ( c ) of the particle from a weak to strong interaction strength c between the particle and thermal vacuum. The impact of various dissipation mechanisms is considered. In the weak coupling regime the energy tends to zero as $$E(c) \sim c\, \ln {(1/c)}$$ E ( c ) ∼ c ln ( 1 / c ) while in the strong coupling regime it diverges to infinity as $$E(c) \sim \sqrt{c}$$ E ( c ) ∼ c . We demonstrate it for selected examples of the dissipation mechanisms defined by the memory kernel $$\gamma (t)$$ γ ( t ) of the Generalized Langevin Equation. We reveal how at a fixed value of c the energy E(c) depends on the dissipation model: one has to compare values of the derivative $$\gamma '(t)$$ γ ′ ( t ) of the dissipation function $$\gamma (t)$$ γ ( t ) at time $$t=0$$ t = 0 or at the memory time $$t=\tau _c$$ t = τ c which characterizes the degree of non-Markovianity of the Brownian particle dynamics. The impact of low temperature is also presented. |
| format |
article |
| author |
J. Spiechowicz J. Łuczka |
| author_facet |
J. Spiechowicz J. Łuczka |
| author_sort |
J. Spiechowicz |
| title |
Energy of a free Brownian particle coupled to thermal vacuum |
| title_short |
Energy of a free Brownian particle coupled to thermal vacuum |
| title_full |
Energy of a free Brownian particle coupled to thermal vacuum |
| title_fullStr |
Energy of a free Brownian particle coupled to thermal vacuum |
| title_full_unstemmed |
Energy of a free Brownian particle coupled to thermal vacuum |
| title_sort |
energy of a free brownian particle coupled to thermal vacuum |
| publisher |
Nature Portfolio |
| publishDate |
2021 |
| url |
https://doaj.org/article/eeac568eb6ca430ab6490d6613f89c73 |
| work_keys_str_mv |
AT jspiechowicz energyofafreebrownianparticlecoupledtothermalvacuum AT jłuczka energyofafreebrownianparticlecoupledtothermalvacuum |
| _version_ |
1718392058369015808 |