Measuring adiabaticity in non-equilibrium quantum systems

Abstract

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 wavefunctions.

6 pages, 3 figures

References in corpus (5)

• Adiabatic Quantum Computing
• Bounds for the adiabatic approximation with applications to quantum computation
• Coherent electronic transfer in quantum dot systems using adiabatic passage
• Irreversible work and inner friction in quantum thermodynamic processes
• Time scale for adiabaticity breakdown in driven many-body systems and orthogonality catastrophe

Cited by in corpus (5)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time
• Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature
• Metrics for two electron random potential systems
• Tracking Adiabaticity in Non-Equilibrium Many-Body Systems: The Hard Case of the X-ray Photoemission in Metals