Effective Theory of Nonadiabatic Quantum Evolution Based on the Quantum Geometric Tensor

Bleu, O.; Malpuech, G.; Gao, Y.; Solnyshkov, D.  D.

doi:10.1103/physrevlett.121.020401

Effective Theory of Nonadiabatic Quantum Evolution Based on the Quantum Geometric Tensor

Journal Article · Mon Jul 09 00:00:00 EDT 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.121.020401· OSTI ID:1541337

Bleu, O. ^[1]; Malpuech, G. ^[2]; Gao, Y. ^[3]; Solnyshkov, D. D. ^[2]

Univ. Clermont Auvergne, Aubière (France). Inst. Pascal. PHOTON-N2; DOE/OSTI
Univ. Clermont Auvergne, Aubière (France). Inst. Pascal. PHOTON-N2
Carnegie Mellon Univ., Pittsburgh, PA (United States). Dept. of Physics

We study the role of the quantum geometric tensor (QGT) in the evolution of two-band quantum systems. We show that all its components play an important role on the extra phase acquired by a spinor and on the trajectory of an accelerated wave packet in any realistic finite-duration experiment. While the adiabatic phase is determined by the Berry curvature (the imaginary part of the tensor), the nonadiabaticity is determined by the quantum metric (the real part of the tensor). We derive, for geodesic trajectories (corresponding to acceleration from zero initial velocity), the semiclassical equations of motion with nonadiabatic corrections. The particular case of a planar microcavity in the strong coupling regime allows us to extract the QGT components by direct light polarization measurements and to check their effects on the quantum evolution.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012509

OSTI ID:: 1541337

Alternate ID(s):: OSTI ID: 1459482

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 2 Vol. 121; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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