scholarly journals Quantum phase transitions in the anisotropic three dimensional XY model

2009 ◽  
Vol 388 (18) ◽  
pp. 3779-3784 ◽  
Author(s):  
A.S.T. Pires ◽  
B.V. Costa
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Three Dimensional ◽  
Quantum Phase ◽  
Xy Model

scholarly journals Quantum critical dynamics in a spinor Hubbard model quantum simulator

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Jared O. Austin ◽  
Zihe Chen ◽  
Zachary N. Shaw ◽  
Khan W. Mahmud ◽  
Yingmei Liu
Keyword(s):  
Phase Transitions ◽  
Hubbard Model ◽  
Quantum Phase Transitions ◽  
Three Dimensional ◽  
Quantum Phase ◽  
Critical Dynamics ◽  
Scaling Effects ◽  
Many Body ◽  
Quantum Simulator ◽  
Quantum Critical

AbstractThree-dimensional (3D) strongly correlated many-body systems, especially their dynamics across quantum phase transitions, are prohibitively difficult to be numerically simulated. We experimentally demonstrate that such complex many-body dynamics can be efficiently studied in a 3D spinor Bose–Hubbard model quantum simulator, consisting of antiferromagnetic spinor Bose–Einstein condensates confined in cubic optical lattices. We find dynamics and scaling effects beyond the scope of existing theories at superfluid–insulator quantum phase transitions, and highlight spin populations as a good observable to probe the quantum critical dynamics. Our data indicate that the scaling exponents are independent of the nature of the quantum phase transitions. We also conduct numerical simulations in lower dimensions using time-dependent Gutzwiller approximations, which qualitatively describe our observations.

scholarly journals One- and three-dimensional quantum phase transitions and anisotropy in Rb2Cu2Mo3O12

2019 ◽  
Vol 100 (13) ◽  
Author(s):  
S. Hayashida ◽  
D. Blosser ◽  
K. Yu. Povarov ◽  
Z. Yan ◽  
S. Gvasaliya ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Three Dimensional ◽  
Quantum Phase

scholarly journals The Loschmidt Index

2021 ◽  
Vol 10 (5) ◽  
Author(s):  
Diego Liska ◽  
Vladimir Gritsev
Keyword(s):  
Phase Transitions ◽  
Integral Representation ◽  
Quantum Phase Transitions ◽  
Ground States ◽  
Quantum Phase ◽  
Xy Model ◽  
Parameter Dependent ◽  
The Relationship ◽  
Multi Band

We study the nodes of the wavefunction overlap between ground states of a parameter-dependent Hamiltonian. These nodes are topological, and we can use them to analyze in a unifying way both equilibrium and dynamical quantum phase transitions in multi-band systems. We define the Loschmidt index as the number of nodes in this overlap and discuss the relationship between this index and the wrapping number of a closed auxiliary hypersurface. This relationship allows us to compute this index systematically, using an integral representation of the wrapping number. We comment on the relationship between the Loschmidt index and other well-established topological numbers. As an example, we classify the equilibrium and dynamical quantum phase transitions of the XY model by counting the nodes in the wavefunction overlaps.

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