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
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... 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