Fidelity susceptibility and quantum adiabatic condition in thermodynamic limits

Shi-Jian Gu
2009 Physical Review E  
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 τ_0 required by its ground-state adiabatic process does not depend on the microscopic details, but the scaling dimension of the fidelity susceptibility d_a. 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
more » ... that the scaling dimension of the fidelity susceptibility is larger than the system's real dimension (d_a>d).
doi:10.1103/physreve.79.061125 pmid:19658491 fatcat:rutyjyhw2rhfjmuq6bm2jfvkqu