Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Modern Physics B

QUANTUM PHASE TRANSITIONS IN MESOSCOPIC SYSTEMS

FRANCESCO IACHELLO

Published Jul 30, 2006• 13 citations
Publisher

Abstract

Shape phase transitions in nuclei, an example of quantum phase transitions in mesoscopic systems, are briefly reviewed. Spectral signatures of critical points in finite quantal systems are discussed and experimental examples are shown.
DOI
10.1142/s0217979206035187

Related papers

Quantum phase transitions in algebraic models of mesoscopic systems

FRANCESCO IACHELLO

The theory of quantum phase transitions (QPTs) and excited states quantum phase transitions (ESQPTs) is briefly reviewed. The phase structure and phase diagram of the interacting boson model of nuclei are discussed. Experimental evidence for QPTs in nuclei is presented.

Journal of Physics Conference Series•Feb 27, 2012•0 citations

Quantum Phase Transitions in Mesoscopic Systems

FRANCESCO IACHELLO, N. V. Zamfir

Quantum phase transitions in mesoscopic systems are studied. It is shown that the main features of phase transitions, defined for infinite number of particles, N--> infinity, persist even for moderate N approximately 10. A Landau analysis of first order transitions is done and a "critical" exponent at the spinodal point is defined. Two order parameters are introduced to distinguish first from second order transitions. Applications to atomic nuclei, molecules, atomic clusters, and finite polymers are mentioned. Experimental evidence in atomic nuclei is presented.

Physical Review Letters•May 26, 2004•202 citations

Symmetry and Phase Transitions in Nuclei

FRANCESCO IACHELLO, Matko Milin, Tamara Nikšić +2 more

The role of symmetry in (shape) quantum phase transitions (QPT) in nuclei is briefly reviewed. Finite size scaling is discussed. The concepts of excited state quantum phase transitions (ESQPT) and of critical matter are introduced. The ab initio theory of QPT is mentioned.

AIP conference proceedings•Jan 1, 2009•1 citation

Quantum phase transitions in the shapes of atomic nuclei

Pavel Cejnar, Jan Jolie, Richard F. Casten

Signatures of criticality in the evolution of the nuclear ground-state shapes across the $N\ifmmode\times\else\texttimes\fi{}Z$ plane are discussed. Attention is paid to specific data indicating sudden structural changes in various isotopic and isotonic chains of medium-mass and heavy even-even nuclei, as well as to diverse theoretical aspects of the models used to describe these changes. The interacting boson model and the geometric collective model, in particular, are discussed in detail, the former providing global predictions for the evolution of collective observables in nuclei between closed shells and the latter yielding a parameter-efficient description of nuclei at the critical points of shape transitions. Some issues related to the mechanism of first- and second-order quantum phase transitions in general many-body systems are also outlined.

Reviews of Modern Physics•Aug 5, 2010•578 citations

Quantum Phase Transitions in a Finite System

A. Leviatan

A general procedure for studying finite-N effects in quantum phase transitions of finite systems is presented and applied to the critical-point dynamics of nuclei undergoing a shape-phase transition of second-order (continuous), and of first-order with an arbitrary barrier.

arXiv:nucl-th/0612019•Dec 5, 2006•0 citations

QUANTUM PHASE TRANSITIONS IN ODD-MASS NUCLEI

A. Leviatan, D. Petrellis, FRANCESCO IACHELLO

Quantum shape-phase transitions in odd-even nuclei are investigated in the framework of the interacting boson-fermion model. Classical and quantum analysis show that the presence of the odd fermion strongly influences the location and nature of the phase transition, especially near the critical point. Experimental evidence for the occurrence of spherical to axially-deformed transitions in odd-proton nuclei Pm, Eu and Tb (Z=61, 63, 65) is presented.

arXiv:1110.0618•International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics (CGS)•Apr 28, 2013•0 citations
Quantum phase transitions in mesoscopic systems are studied. It is shown that the main features of phase transitions, defined for infinite number of particles, N--> infinity, persist even for moderate N approximately 10. A Landau analysis of first order transitions is done and a "critical" exponent at the spinodal point is defined. Two order parameters are introduced to distinguish first from second order transitions. Applications to atomic nuclei, molecules, atomic clusters, and finite polymers are mentioned. Experimental evidence in atomic nuclei is presented.
Signatures of criticality in the evolution of the nuclear ground-state shapes across the $N\ifmmode\times\else\texttimes\fi{}Z$ plane are discussed. Attention is paid to specific data indicating sudden structural changes in various isotopic and isotonic chains of medium-mass and heavy even-even nuclei, as well as to diverse theoretical aspects of the models used to describe these changes. The interacting boson model and the geometric collective model, in particular, are discussed in detail, the former providing global predictions for the evolution of collective observables in nuclei between closed shells and the latter yielding a parameter-efficient description of nuclei at the critical points of shape transitions. Some issues related to the mechanism of first- and second-order quantum phase transitions in general many-body systems are also outlined.