http://hdl.handle.net/20.500.12128/7052
Tytuł: | Partition of energy for a dissipative quantum oscillator |
Autor: | Białas, Piotr Spiechowicz, Jakub Łuczka, Jerzy |
Słowa kluczowe: | quantum oscillator; energy |
Data wydania: | 2018 |
Źródło: | Scientific Reports, Vol. 8, iss. 1 (2018), Art. No. 16080 |
Abstrakt: | We reveal a new face of the old clichéd system: a dissipative quantum harmonic oscillator. We formulate and study a quantum counterpart of the energy equipartition theorem satisfied for classical systems. Both mean kinetic energy Ek and mean potential energy Ep of the oscillator are expressed as Ek = 〈εk〉 and Ep = 〈εp〉, where 〈εk〉 and 〈εp〉 are mean kinetic and potential energies per one degree of freedom of the thermostat which consists of harmonic oscillators too. The symbol 〈...〉 denotes two-fold averaging: (i) over the Gibbs canonical state for the thermostat and (ii) over thermostat oscillators frequencies ω which contribute to Ek and Ep according to the probability distribution [Formula: see text] and [Formula: see text], respectively. The role of the system-thermostat coupling strength and the memory time is analysed for the exponentially decaying memory function (Drude dissipation mechanism) and the algebraically decaying damping kernel. |
URI: | http://hdl.handle.net/20.500.12128/7052 |
DOI: | 10.1038/s41598-018-34385-9 |
ISSN: | 2045-2322 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Bialas_Partition_of_energy_for_a_dissipative_quantum_oscillator.pdf | 1,72 MB | Adobe PDF | Przejrzyj / Otwórz |
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