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The Classical-Quantum Limit
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DOI：10.1103/PRXQuantum.5.020331.png)
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The standard notion of a classical limit, represented schematically by h 0, provides a method for approximating a quantum system by a classical one. In this work, we explain why the standard classical limit fails when applied to subsystems, and show how one may resolve this by explicitly modeling the decoherence of a subsystem by its environment. Denoting the decoherence time by t, we demonstrate that a double scaling limit in which h 0 and t 0 such that the ratio E f = h /t remains fixed leads to an irreversible open -system evolution with well-defined classical and quantum subsystems. The main technical result is showing that, for arbitrary Hamiltonians, the generators of partial versions of the Wigner, Husimi, and Glauber-Sudarshan quasiprobability distributions may all be mapped in the above -mentioned double scaling limit to the same completely positive classical -quantum generator. This provides a regime in which one can study effective and consistent classical -quantum dynamics.
Keyword:
DECOHERENCE
COHERENT
DYNAMICS
SYSTEMS
STATES
期刊
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IF:
11
论文数:
919
被引数:
9.0K
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