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Volumn 61, Issue 4, 2000, Pages 4194-4206

Importance of quantum decoherence in brain processes

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); QUANTUM COMPUTERS; QUANTUM ELECTRONICS; QUANTUM OPTICS;

EID: 33748688794     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.4194     Document Type: Article
Times cited : (539)

References (87)
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    • Decoherence picks out a preferred basis in the quantum-mechanical Hilbert space, termed the “pointer basis” by Zurek 36, in which superpositions are rapidly destroyed and classical behavior is approached. This normally includes the position basis, which is why we never experience superpositions of objects in macroscopically different positions. Decoherence is quite generic. Although it has been claimed that this preferred basis consists of the maximal set of commuting observables that also commute with (Formula presented) (the “microstable basis” of Omnès 43), this is in fact merely a sufficient condition, not a necessary one. If (Formula presented) for some observable x but (Formula presented) for its conjugate p, then the interaction will indeed cause decoherence for x as advertised. But this will happen even if (Formula presented)—all that matters is that (Formula presented) i.e., that the interaction Hamiltonian contains (“measures”) x
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    • Here and throughout, we are assuming that the total system, which is by definition isolated, evolves according to the Schrödinger equation (1). Although modifications of the Schrödinger equation have been suggested by some authors, either in a mathematically explicit form as in Refs. 56 57 or verbally as a so-called reduction postulate, there is so far no experimental evidence suggesting that modifications are necessary. The original motivations for such modifications were (1) to be able to interpret the diagonal elements of the density matrix as probabilities, and (2) to suppress off-diagonal elements of the density matrix. The subsequent discovery by Everett 65 that the probability interpretation automatically appears to hold for almost all observers in the final superposition solved problem 1, and is discussed in more detail in, e.g., 2967686970717273747576. The still more recent discovery of decoherence 113637 solved problem 2, as well as explaining so-called superselection rules for the first time (why, for instance, the position basis has a special status) 44
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.