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Phys. Rev. Lett. 85, 4852–4855 (2000)

Continuous Quantum Measurement and the Emergence of Classical Chaos

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Tanmoy Bhattacharya, Salman Habib, and Kurt Jacobs
T-8, Theoretical Division, MS B285, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Received 16 June 1999; revised 13 July 2000; published in the issue dated 4 December 2000

We formulate the conditions under which the dynamics of a continuously measured quantum system becomes indistinguishable from that of the corresponding classical system. In particular, we demonstrate that even in a classically chaotic system the quantum state vector conditioned by the measurement remains localized and, under these conditions, follows a trajectory characterized by the classical Lyapunov exponent.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.4852
DOI:
10.1103/PhysRevLett.85.4852
PACS:
05.45.Ac, 03.65.Bz, 05.45.Pq