Boltzmann-Loschmidt dispute reloaded quantum 150 years later

• URL: http://arxiv.org/abs/2604.04879v1
• Date: Mon, 06 Apr 2026 17:28:29 GMT
• Title: Boltzmann-Loschmidt dispute reloaded quantum 150 years later
• Abstract summary: We show that the quantum chaos diffusion of cold atoms can be inverted back in time with up to 100% efficiency.<n>This is in sharp contrast to classical evolution where exponentially small errors break time reversibility.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The Boltzmann-Loschmidt dispute of 1876 questioned the possibility of a statistical irreversible description by time reversible classical equations of motion of atoms. Here we show analytically and numerically that the quantum chaos diffusion of cold atoms, or ions, in a harmonic trap and pulsed optical lattice can be inverted back in time with up to 100\% efficiency. This is in sharp contrast to classical evolution where exponentially small errors break time reversibility. We argue that the existing experimental skills allow highlighting the Boltzmann-Loschmidt dispute from a quantum perspective.

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