Maximum Energy Growth Rate in Dilute Quantum Gases
نویسندگان
چکیده
In this Letter we study how fast the energy density of a quantum gas can increase in time, when interatomic interaction characterized by $s$-wave scattering length ${a}_{s}$ is increased from zero with arbitrary time dependence. We show that, at short most as $\sqrt{t}$, which be achieved dependence also proportional to and especially, universal maximum growth rate reached varies $2\sqrt{\ensuremath{\hbar}t/(\ensuremath{\pi}m)}$. If faster or slower than it is, respectively, proximate quench process adiabatic process, both result rate. These results are obtained analyzing dynamics short-range behavior many-body wave function contact, confirmed numerically solving an example interacting bosons time-dependent Bogoliubov theory. verified experimentally ultracold atomic gases.
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2021
ISSN: ['1079-7114', '0031-9007', '1092-0145']
DOI: https://doi.org/10.1103/physrevlett.126.240401