Quantum phase transitions for the Haldane system in higher dimensions: A mixed-spin cluster expansion approach

2000 ◽  
Vol 61 (9) ◽  
pp. 6133-6137 ◽  
Author(s):  
Akihisa Koga ◽  
Norio Kawakami
Keyword(s):  
Phase Transitions ◽  
Cluster Expansion ◽  
Quantum Phase Transitions ◽  
Higher Dimensions ◽  
Quantum Phase ◽  
Spin Cluster ◽  
Mixed Spin

scholarly journals Entanglement and quantum phase transitions in quantum mixed spin chains

2006 ◽  
Vol 73 (18) ◽  
Author(s):  
Shang-Bin Li ◽  
Zhao-Xin Xu ◽  
Jian-Hui Dai ◽  
Jing-Bo Xu
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Spin Chains ◽  
Quantum Phase ◽  
Mixed Spin

scholarly journals Emergence of coherence and the dynamics of quantum phase transitions

2015 ◽  
Vol 112 (12) ◽  
pp. 3641-3646 ◽  
Author(s):  
Simon Braun ◽  
Mathis Friesdorf ◽  
Sean S. Hodgman ◽  
Michael Schreiber ◽  
Jens Philipp Ronzheimer ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Coherence Length ◽  
Quantum Phase Transitions ◽  
Higher Dimensions ◽  
Quantum Phase ◽  
Ultracold Atom ◽  
Strongly Correlated ◽  
Many Body ◽  
Perfect Agreement ◽  
Negative Temperatures

The dynamics of quantum phase transitions pose one of the most challenging problems in modern many-body physics. Here, we study a prototypical example in a clean and well-controlled ultracold atom setup by observing the emergence of coherence when crossing the Mott insulator to superfluid quantum phase transition. In the 1D Bose–Hubbard model, we find perfect agreement between experimental observations and numerical simulations for the resulting coherence length. We, thereby, perform a largely certified analog quantum simulation of this strongly correlated system reaching beyond the regime of free quasiparticles. Experimentally, we additionally explore the emergence of coherence in higher dimensions, where no classical simulations are available, as well as for negative temperatures. For intermediate quench velocities, we observe a power-law behavior of the coherence length, reminiscent of the Kibble–Zurek mechanism. However, we find nonuniversal exponents that cannot be captured by this mechanism or any other known model.

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 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 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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