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Quantum indistinguishability in chemical reactions
Contributed by Matthew P. A. Fisher, March 26, 2018 (sent for review October 23, 2017; reviewed by Eduardo Fradkin and Ashvin Vishwanath)

Significance
Counter to conventional approaches that treat nuclear coordinates classically, we explore quantum indistinguishability of nuclei in enzymatic chemical reactions of small symmetric molecules. Supported by several physical arguments, we conjecture a far-reaching “quantum dynamical selection” (QDS) rule that precludes enzymatic chemical bond-breaking reactions from orbitally nonsymmetric molecular states. We propose and discuss experimental implications of QDS, such as (i) differential chemical reactivity in ortho- and parahydrogen, (ii) a mass-independent mechanism for isotope fractionation, (iii) an explanation of the enhanced chemical activity of “reactive oxygen species”, (iv) a route to parahydrogen-induced hyperpolarization important for zero-field NMR spectroscopy, and (v) critical quantum-to-biochemical linkage in the nuclear spin model of the (putative) quantum brain, among others.
Abstract
Quantum indistinguishability plays a crucial role in many low-energy physical phenomena, from quantum fluids to molecular spectroscopy. It is, however, typically ignored in most high-temperature processes, particularly for ionic coordinates, implicitly assumed to be distinguishable, incoherent, and thus well approximated classically. We explore enzymatic chemical reactions involving small symmetric molecules and argue that in many situations a full quantum treatment of collective nuclear degrees of freedom is essential. Supported by several physical arguments, we conjecture a “quantum dynamical selection” (QDS) rule for small symmetric molecules that precludes chemical processes that involve direct transitions from orbitally nonsymmetric molecular states. As we propose and discuss, the implications of the QDS rule include (i) a differential chemical reactivity of para- and orthohydrogen, (ii) a mechanism for inducing intermolecular quantum entanglement of nuclear spins, (iii) a mass-independent isotope fractionation mechanism, (iv) an explanation of the enhanced chemical activity of “reactive oxygen species”, (v) illuminating the importance of ortho-water molecules in modulating the quantum dynamics of liquid water, and (vi) providing the critical quantum-to-biochemical linkage in the nuclear spin model of the (putative) quantum brain, among others.
- quantum chemical reactions
- quantum indistinguishability
- nuclear spin coherence
- Berry phases in chemical reactions
Footnotes
- ↵1To whom correspondence may be addressed. Email: mpaf{at}kitp.ucsb.edu or radzihov{at}colorado.edu.
Author contributions: M.P.A.F. and L.R. designed research; M.P.A.F. and L.R. performed research; M.P.A.F. analyzed data; and M.P.A.F. and L.R. wrote the paper.
Reviewers: E.F., University of Illinois at Urbana–Champaign; and A.V., Harvard University.
The authors declare no conflict of interest.
This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1718402115/-/DCSupplemental.
Published under the PNAS license.
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