Measuring adiabaticity in nonequilibrium quantum systems

TY - JOUR

T1 - Measuring adiabaticity in nonequilibrium quantum systems

AU - Skelt, A. H.

AU - Godby, R. W.

AU - D'Amico, I.

N1 - ©2018 American Physical Society. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

PY - 2018/7/3

Y1 - 2018/7/3

N2 - Understanding out-of-equilibrium quantum dynamics is a critical outstanding problem, with key questions regarding characterizing adiabaticity for applications in quantum technologies. We show how the metric-space approach to quantum mechanics naturally characterizes regimes of quantum dynamics and provides an appealingly visual tool for assessing their degree of adiabaticity. Further, the dynamic trajectories of quantum systems in metric space suggest a lack of ergodicity, thus providing a better understanding of the fundamental one-to-one mapping between densities and wave functions.

AB - Understanding out-of-equilibrium quantum dynamics is a critical outstanding problem, with key questions regarding characterizing adiabaticity for applications in quantum technologies. We show how the metric-space approach to quantum mechanics naturally characterizes regimes of quantum dynamics and provides an appealingly visual tool for assessing their degree of adiabaticity. Further, the dynamic trajectories of quantum systems in metric space suggest a lack of ergodicity, thus providing a better understanding of the fundamental one-to-one mapping between densities and wave functions.

UR - http://www.scopus.com/inward/record.url?scp=85049827201&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.98.012104

DO - 10.1103/PhysRevA.98.012104

M3 - Article

AN - SCOPUS:85049827201

VL - 98

JO - Physical Review A

JF - Physical Review A

SN - 1050-2947

IS - 1

M1 - 012104

ER -