Thermodynamic analogy for quantum phase transitions at zero temperature
arXiv:nucl-th/0406060 · doi:10.1103/PhysRevC.71.011304
Abstract
We propose a relationship between thermodynamic phase transitions and ground-state quantum phase transitions in systems with variable Hamiltonian parameters. It is based on a link between zeros of the canonical partition function at complex temperatures and exceptional points of a quantum Hamiltonian in the complex-extended parameter space. This approach is applied in the interacting boson model, where it is shown to properly distinguish the first- and second-order phase transitions.
14 pages, 5 figures
References in corpus (3)
Cited by in corpus (14)
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- Two-level interacting boson models beyond the mean field
- Perturbation Theory in the Complex Plane: Exceptional Points and Where to Find Them
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- Exceptional points near first- and second-order quantum phase transitions
- Mechanism of dynamical phase transitions: The complex-time survival amplitude
- Grüneisen parameter as an entanglement compass and the breakdown of the Hellmann-Feynman theorem
- Describing the ground state of quantum systems through statistical mechanics
- Equations of motion governing the dynamics of the exceptional points of parameterically dependent nonhermitian Hamiltonians
- Complex analysis of divergent perturbation theory at finite temperature