We prove an Egorov theorem, or quantum-classical correspondence, for the quantised baker's map, valid up to the Ehrenfest time. This yields a logarithmic upper bound for the decay of the quantum variance, and, as a corollary, a quantum ergodic theorem for this map.
M. Degli Esposti, B. Winn, S. Nonnemacher (2006). Quantum Variance and ergodicity for the baker's map. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 264, 1-28 [10.1007/s00220-005-1397-3].
Quantum Variance and ergodicity for the baker's map
DEGLI ESPOSTI, MIRKO;
2006
Abstract
We prove an Egorov theorem, or quantum-classical correspondence, for the quantised baker's map, valid up to the Ehrenfest time. This yields a logarithmic upper bound for the decay of the quantum variance, and, as a corollary, a quantum ergodic theorem for this map.File in questo prodotto:
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