Boltzmann-Loschmidt dispute reloaded quantum 150 years later
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918528245825536 |
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| author | Ermann, Leonardo Chepelianskii, Alexei D. Shepelyansky, Dima L. |
| author_facet | Ermann, Leonardo Chepelianskii, Alexei D. Shepelyansky, Dima L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04879 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Boltzmann-Loschmidt dispute reloaded quantum 150 years later Ermann, Leonardo Chepelianskii, Alexei D. Shepelyansky, Dima L. Statistical Mechanics Quantum Gases Chaotic Dynamics Quantum Physics 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. |
| title | Boltzmann-Loschmidt dispute reloaded quantum 150 years later |
| topic | Statistical Mechanics Quantum Gases Chaotic Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2604.04879 |