Role of the tuning parameter at magnetic quantum phase transitions

2015 ◽  
Vol 224 (6) ◽  
pp. 997-1019 ◽  
Author(s):  
V. Fritsch ◽  
O. Stockert ◽  
C.-L. Huang ◽  
N. Bagrets ◽  
W. Kittler ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Tuning Parameter

scholarly journals SCALING OF VON NEUMANN ENTROPY AT THE ANDERSON TRANSITION

2010 ◽  
Vol 24 (12n13) ◽  
pp. 1823-1840 ◽  
Author(s):  
Sudip Chakravarty
Keyword(s):  
Phase Transition ◽  
Wave Function ◽  
Phase Transitions ◽  
Ground State ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Tuning Parameter ◽  
Von Neumann Entropy ◽  
Von Neumann ◽  
Anderson Transition

Extensive body of work has shown that for the model of a non-interacting electron in a random potential there is a quantum critical point for dimensions greater than two — a metal–insulator transition. This model also plays an important role in the plateau-to-plateu transition in the integer quantum Hall effect, which is also correctly captured by a scaling theory. Yet, in neither of these cases the ground state energy shows any non-analyticity as a function of a suitable tuning parameter, typically considered to be a hallmark of a quantum phase transition, similar to the non-analyticity of the free energy in a classical phase transition. Here we show that von Neumann entropy (entanglement entropy) is non-analytic at these phase transitions and can track the fundamental changes in the internal correlations of the ground state wave function. In particular, it summarizes the spatially wildly fluctuating intensities of the wave function close to the criticality of the Anderson transition. It is likely that all quantum phase transitions can be similarly described.

scholarly journals Dynamical Quantum Phase Transitions: Role of Topological Nodes in Wave Function Overlaps

2016 ◽  
Vol 117 (8) ◽  
Author(s):  
Zhoushen Huang ◽  
Alexander V. Balatsky
Keyword(s):  
Wave Function ◽  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase

Quantum phase transitions

2004 ◽  
Vol 174 (8) ◽  
pp. 853 ◽  
Author(s):  
Sergei M. Stishov
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase

scholarly journals Magnetic Field- and Pressure-Induced Quantum Phase Transitions in NH4CuCl3

2005 ◽  
Vol 159 ◽  
pp. 241-245 ◽  
Author(s):  
Masashi Fujisawa ◽  
Budhy Kurniawan ◽  
Toshio Ono ◽  
Hidekazu Tanaka
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase

scholarly journals Chiral Waveguide Optomechanics: First Order Quantum Phase Transitions with Z3 Symmetry Breaking

2020 ◽  
Vol 125 (26) ◽  
Author(s):  
D. D. Sedov ◽  
V. K. Kozin ◽  
I. V. Iorsh
Keyword(s):  
Phase Transitions ◽  
Symmetry Breaking ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
First Order

scholarly journals Interaction between Different Kinds of Quantum Phase Transitions

2021 ◽  
Vol 3 (2) ◽  
pp. 253-261
Author(s):  
Angel Ricardo Plastino ◽  
Gustavo Luis Ferri ◽  
Angelo Plastino
Keyword(s):  
Phase Transitions ◽  
Nuclear Physics ◽  
Body Problem ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Many Body ◽  
Pairing Interaction ◽  
Exactly Solvable

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one that resembles the so-called quadrupole one, much used in nuclear physics as a residual interaction. The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings).

scholarly journals Quantum phase transitions in superconductor–quantum-dot–superconductor Josephson structures with attractive intradot interaction

2020 ◽  
Vol 102 (21) ◽  
Author(s):  
Yu-Chun Hsu ◽  
Wu-Jing Chen ◽  
Chien-Te Wu
Keyword(s):  
Phase Transitions ◽  
Quantum Dot ◽  
Quantum Phase Transitions ◽  
Quantum Phase

scholarly journals Entanglement View of Dynamical Quantum Phase Transitions

2021 ◽  
Vol 126 (4) ◽  
Author(s):  
Stefano De Nicola ◽  
Alexios A. Michailidis ◽  
Maksym Serbyn
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase

scholarly journals Quantum phase transitions in a quasi-one-dimensional Ising quantum magnet in transverse fields

2021 ◽  
Vol 103 (14) ◽  
Author(s):  
Xiaowen Zhang ◽  
Zheng He ◽  
Yiqing Hao ◽  
Yao Shen ◽  
Shoudong Shen ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
One Dimensional ◽  
Quantum Magnet ◽  
Transverse Fields
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