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Phys. Rev. A 59, 3236–3240 (1999)

Quantum evolution according to real clocks

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Iñigo L. Egusquiza1, Luis J. Garay2, and José M. Raya3
1Fisika Teorikoaren Saila, Euskal Herriko Unibertsitatea, 644 Posta Kutxa, 48080 Bilbao, Spain
2Instituto de Matemáticas y Física Fundamental, CSIC, C/ Serrano 121, 28006 Madrid, Spain
3Instituto de Astrofísica de Andalucía, CSIC, Camino Bajo de Huétor, 18080 Granada, Spain

Received 3 November 1998; published in the issue dated May 1999

We characterize good clocks, which are naturally subject to fluctuations, in statistical terms. We also obtain the master equation that governs the evolution of quantum systems according to these clocks and find its general solution. This master equation is diffusive and produces loss of coherence. Moreover, real clocks can be described in terms of effective interactions that are nonlocal in time. Alternatively, they can be modeled by an effective thermal bath coupled to the system.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.59.3236
DOI:
10.1103/PhysRevA.59.3236
PACS:
03.65.Bz, 05.40.-a, 42.50.Lc