Boltzmann-Loschmidt dispute reloaded quantum 150 years later
by L.Ermann, A.D.Chepelianskii, D.L.Shepelyansky,
https://arxiv.org/abs/2604.04879[cond-mat.stat-mech]
(arXiv 6 April 2026)
Time ecolution of classical (bottom line)
and quantum (top line) probability distributions of cold atoms
in harmonic oscillator trap and kicked optical lattice
(x-axis is momentum, y-axis is coordinate), time reversal is done after 30 kicks,
t=0, 30, 60 (left to right),
K=3
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 Article download (April 2026)
(arXiv);
published (here) Time reversal of classical evolution
at tr=30, here K=3, noise amplitude eps=0.001, supmatvideo1 (here) Time reversal of quantum evolution
at tr=30, here K=3, hbar=1, noise amplitude eps_q=0.1, supmatvideo2 (here) Time reversal of classical evolution
at tr=30, here K=3, eps=0, no noise, 1E+6 trajectories (here) Time reversal of quantum evolution
at tr=30, here K=3, hbar=1, eps_q=0, no noise (here) Time reversal of classical evolution
at tr=30, here K=8, eps=0, no noise, 1E+6 trajectories (here) Time reversal of quantum evolution
at tr=30, here K=8, hbar=1, eps_q=0, no noise (here) Time reversal of quantum evolution
at tr=30, here K=8, hbar=1, eps_q=0.1, 1 noise realisation (here) Classical and quantum time evolution on first 6 iterations (kicks)
at K=2 (here), K=3 (here),
K=4 (here), hbar=1
This webpage is created at April 6, 2026 and is maintained
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