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.
Quantum Variance and ergodicity for the baker's map / M. Degli Esposti; B. Winn; S. Nonnemacher. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 264:(2006), pp. 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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