scholarly journals Quantum phase transitions and thermodynamics of the power-law Kondo model

2013 ◽  
Vol 88 (19) ◽  
Author(s):  
Andrew K. Mitchell ◽  
Matthias Vojta ◽  
Ralf Bulla ◽  
Lars Fritz
2020 ◽  
Vol 6 (21) ◽  
pp. eaba7292
Author(s):  
L.-Y. Qiu ◽  
H.-Y. Liang ◽  
Y.-B. Yang ◽  
H.-X. Yang ◽  
T. Tian ◽  
...  

The Kibble-Zurek mechanism provides a unified theory to describe the universal scaling laws in the dynamics when a system is driven through a second-order quantum phase transition. However, for first-order quantum phase transitions, the Kibble-Zurek mechanism is usually not applicable. Here, we experimentally demonstrate and theoretically analyze a power-law scaling in the dynamics of a spin-1 condensate across a first-order quantum phase transition when a system is slowly driven from a polar phase to an antiferromagnetic phase. We show that this power-law scaling can be described by a generalized Kibble-Zurek mechanism. Furthermore, by experimentally measuring the spin population, we show the power-law scaling of the temporal onset of spin excitations with respect to the quench rate, which agrees well with our numerical simulation results. Our results open the door for further exploring the generalized Kibble-Zurek mechanism to understand the dynamics across first-order quantum phase transitions.


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

2005 ◽  
Vol 159 ◽  
pp. 241-245 ◽  
Author(s):  
Masashi Fujisawa ◽  
Budhy Kurniawan ◽  
Toshio Ono ◽  
Hidekazu Tanaka

2021 ◽  
Vol 3 (2) ◽  
pp. 253-261
Author(s):  
Angel Ricardo Plastino ◽  
Gustavo Luis Ferri ◽  
Angelo Plastino

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).


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

2021 ◽  
Vol 103 (14) ◽  
Author(s):  
Xiaowen Zhang ◽  
Zheng He ◽  
Yiqing Hao ◽  
Yao Shen ◽  
Shoudong Shen ◽  
...  

2021 ◽  
Vol 103 (17) ◽  
Author(s):  
Daniel Gutiérrez-Ruiz ◽  
Diego Gonzalez ◽  
Jorge Chávez-Carlos ◽  
Jorge G. Hirsch ◽  
J. David Vergara

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