Heat capacity for systems with excited-state quantum phase transitions
arXiv:1612.00613 · doi:10.1016/j.physleta.2017.01.022
Abstract
Heat capacities of model systems with finite numbers of effective degrees of freedom are evaluated using canonical and microcanonical thermodynamics. Discrepancies between both approaches, which are observed even in the infinite-size limit, are particularly large in systems that exhibit an excited-state quantum phase transition. The corresponding irregularity of the spectrum generates a singularity in the microcanonical heat capacity and affects smoothly the canonical heat capacity.
arXiv comment12 pages, 6 figures
References in corpus (17)
- Excited state quantum phase transitions in many-body systems
- Excited-State Quantum Phase Transitions in Dicke Superradiance Models
- Phase transitions and configuration space topology
- Comparative quantum and semi-classical analysis of Atom-Field Systems I: density of states and excited-state quantum phase transitions
- Quantum quench influenced by an excited-state phase transition
- Excited-state quantum phase transitions in many-body systems with infinite-range interaction: Localization, dynamics, and bifurcation
- Phase Transitions in Small Systems: Microcanonical vs. Canonical Ensembles
- Impact of Quantum Phase Transitions on Excited Level Dynamics
- Structure of eigenstates and quench dynamics at an excited state quantum phase transition
- Decoherence as a signature of an excited state quantum phase transition
- Lifshitz and Excited State Quantum Phase Transitions in Microwave Dirac Billiards
- Classification of excited-state quantum phase transitions for arbitrary number of degrees of freedom
- From thermal to excited-state quantum phase transitions ---the Dicke model
- Irreversible processes without energy dissipation in an isolated Lipkin-Meshkov-Glick model
- Thermal and Quantum Phase Transitions in Atom-Field Systems: a Microcanonical Analysis
- Quantum phase transitions without thermodynamic limits
- Time delayed control of excited state quantum phase transitions in the Lipkin-Meshkov-Glick model
Cited by in corpus (7)
- Excited-state quantum phase transitions
- From thermal to excited-state quantum phase transitions ---the Dicke model
- Excited-state quantum phase transitions in systems with two degrees of freedom: III. Interacting boson systems
- Phase transitions of the Dicke model: a unified perspective
- Characterizing the excited-state quantum phase transition via the dynamical and statistical properties of the diagonal entropy
- Mechanism of dynamical phase transitions: The complex-time survival amplitude
- Enhancement of efficiency in the Dicke model quantum heat engine