scholarly journals Quantum phase transitions and bifurcations: reduced fidelity as a phase transition indicator for quantum lattice many-body systems

2011 ◽  
Vol 44 (49) ◽  
pp. 495302 ◽  
Author(s):  
Jin-Hua Liu ◽  
Qian-Qian Shi ◽  
Jian-Hui Zhao ◽  
Huan-Qiang Zhou
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Many Body ◽  
Quantum Lattice ◽  
Many Body Systems

scholarly journals GEOMETRIC PHASES AND QUANTUM PHASE TRANSITIONS

2008 ◽  
Vol 22 (06) ◽  
pp. 561-581 ◽  
Author(s):  
SHI-LIANG ZHU
Keyword(s):  
Phase Transitions ◽  
Geometric Phase ◽  
Quantum Phase Transitions ◽  
Condensed Matter ◽  
Quantum Phase ◽  
Many Body ◽  
Scientific Communities ◽  
Geometric Phases ◽  
Many Body Systems ◽  
The Many

Quantum phase transition is one of the main interests in the field of condensed matter physics, while geometric phase is a fundamental concept and has attracted considerable interest in the field of quantum mechanics. However, no relevant relation was recognized before recent work. In this paper, we present a review of the connection recently established between these two interesting fields: investigations in the geometric phase of the many-body systems have revealed the so-called "criticality of geometric phase", in which the geometric phase associated with the many-body ground state exhibits universality, or scaling behavior in the vicinity of the critical point. In addition, we address the recent advances on the connection of some other geometric quantities and quantum phase transitions. The closed relation recently recognized between quantum phase transitions and some of the geometric quantities may open attractive avenues and fruitful dialogue between different scientific communities.

scholarly journals Diagonal entropy in many-body systems: Volume effect and quantum phase transitions

2020 ◽  
Vol 384 (16) ◽  
pp. 126333
Author(s):  
Zhengan Wang ◽  
Zheng-Hang Sun ◽  
Yu Zeng ◽  
Haifeng Lang ◽  
Qiantan Hong ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Volume Effect ◽  
Quantum Phase ◽  
Many Body ◽  
Many Body Systems

scholarly journals Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
M.-L. Cai ◽  
Z.-D. Liu ◽  
W.-D. Zhao ◽  
Y.-K. Wu ◽  
Q.-X. Mei ◽  
...  
Keyword(s):  
Phase Transition ◽  
Thermodynamic Limit ◽  
Quantum Phase Transitions ◽  
Paul Trap ◽  
Single Mode ◽  
Quantum Phase ◽  
Controlled Study ◽  
Many Body ◽  
Rabi Model ◽  
Many Body Systems

AbstractQuantum phase transitions (QPTs) are usually associated with many-body systems in the thermodynamic limit when their ground states show abrupt changes at zero temperature with variation of a parameter in the Hamiltonian. Recently it has been realized that a QPT can also occur in a system composed of only a two-level atom and a single-mode bosonic field, described by the quantum Rabi model (QRM). Here we report an experimental demonstration of a QPT in the QRM using a 171Yb+ ion in a Paul trap. We measure the spin-up state population and the average phonon number of the ion as two order parameters and observe clear evidence of the phase transition via adiabatic tuning of the coupling between the ion and its spatial motion. An experimental probe of the phase transition in a fundamental quantum optics model without imposing the thermodynamic limit opens up a window for controlled study of QPTs and quantum critical phenomena.

FINITE TEMPERATURE APPROACH TO QUANTUM PHASE TRANSITIONS

2010 ◽  
Vol 20 (02) ◽  
pp. 397-401
Author(s):  
A. PLASTINO ◽  
E. M. F. CURADO
Keyword(s):  
Phase Transitions ◽  
Statistical Mechanics ◽  
Excited States ◽  
Finite Temperature ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Many Body ◽  
Statistical Correlations ◽  
Many Body Systems

We show how ordinary, finite-temperature tools of Statistical Mechanics can be used to detect quantum phase transitions in many-body systems. In particular, statistical correlations exhibit a quite idiosyncratic behavior at the critical interaction-strengths. Moreover, what one may call "soft quantum phase-transitions" (crossings of excited states) are characterized by the rather special way of vanishing that these correlations adopt.

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