Thermodynamic analogy for quantum phase transitions at zero temperature

Journal Article · Sat Jan 01 00:00:00 EST 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.71.011304· OSTI ID:20695861

Cejnar, Pavel ^[1]; Heinze, Stefan ^[2]; Dobes, Jan ^[3]

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1. Institute of Particle and Nuclear Physics, Charles University, V Holesovickach 2, 180 00 Prague (Czech Republic)
2. Institute of Nuclear Physics, University of Cologne, Zuelpicherstrasse 77, 50937 Cologne (Germany)
3. Nuclear Physics Institute, Academy of Sciences of the Czech Republic, 250 68 Rez (Czech Republic)

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 branch 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.

• OSTI ID: 20695861
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 71, Issue 1; Other Information: DOI: 10.1103/PhysRevC.71.011304; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
GROUND STATES
HAMILTONIANS
INTERACTING BOSON MODEL
PARTITION FUNCTIONS
PHASE TRANSFORMATIONS
SPACE
TEMPERATURE ZERO K