2009/02/28 by Shi-Jian Gu
Mathematics · Physics and Astronomy · #Adiabatic process #Adiabatic quantum computation #Advanced Thermodynamics and Statistical Mechanics #Computer science #Dimension (graph theory) #Fidelity #Geometry #Mathematics #Physics #Pure mathematics #Quantum #Quantum computer #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Quantum process #Quantum system #Scaling #Spectroscopy and Quantum Chemical Studies #Statistical physics #Theoretical physics #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physreve.79.061125
published as Phys. Rev. E 79, 061125 (2009). · 4 pages, final version accepted by PRE
arxiv created 2009/06/22 · openalex publication_date 2009/06/24 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this work, we examine the validity of quantum adiabatic theorem in thermodynamic systems. For a d-dimensional quantum many-body system, we show that the duration time tau0 required by its ground-state adiabatic process does not depend on the microscopic details but the scaling dimension of the fidelity susceptibility da. Our result, therefore, provides a quantitative time scale of the quantum adiabatic theorem in thermodynamic systems. The quantum adiabatic theorem might be violated in case that the scaling dimension of the fidelity susceptibility is larger than the system's real dimension (da>d).