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arxiv 2112.08694 v1 pith:DNESJEIE submitted 2021-12-16 quant-ph physics.chem-ph

Geometric energy transfer in two-component systems

classification quant-ph physics.chem-ph
keywords functionmarginalwaveconditionaldependsenergysecondchange
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Factoring a wave function into marginal and conditional factors partitions the subsystem kinetic energy into two terms. The first depends solely on the marginal wave function, through its gauge-covariant derivative, while the second depends on the quantum metric of the conditional wave function over the manifold of marginal variables. We derive an identity for the rate of change of the second term.

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