Phase transitions in systems with a finite number of dominant ground states

1989 ◽  
Vol 54 (1-2) ◽  
pp. 89-161 ◽  
Author(s):  
J. Bricmont ◽  
J. Slawny
Keyword(s):  
Phase Transitions ◽  
Finite Number ◽  
Ground States ◽  
Dominant Ground States

scholarly journals Robust preparation of many-body ground states in Jaynes–Cummings lattices

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Kang Cai ◽  
Prabin Parajuli ◽  
Guilu Long ◽  
Chee Wei Wong ◽  
Lin Tian
Keyword(s):  
Numerical Simulation ◽  
Phase Transitions ◽  
Parameter Space ◽  
Quantum Phase Transitions ◽  
Ground States ◽  
High Accuracy ◽  
High Fidelity ◽  
Strongly Correlated ◽  
Many Body ◽  
Shed Light

AbstractStrongly correlated polaritons in Jaynes–Cummings (JC) lattices can exhibit quantum phase transitions between the Mott-insulating and superfluid phases at integer fillings. The prerequisite to observe such phase transitions is to pump polariton excitations into a JC lattice and prepare them into appropriate ground states. Despite previous efforts, it is still challenging to generate many-body states with high accuracy. Here, we present an approach for the robust preparation of many-body ground states of polaritons in finite-sized JC lattices by optimized nonlinear ramping. We apply a Landau–Zener type of estimation to this finite-sized system and derive the optimal ramping index for selected ramping trajectories, which can greatly improve the fidelity of the prepared states. With numerical simulation, we show that by choosing an appropriate ramping trajectory, the fidelity in this approach can remain close to unity in almost the entire parameter space. This approach can shed light on high-fidelity state preparation in quantum simulators and advance the implementation of quantum simulation with practical devices.

Crystal structure and thermodynamic properties of dinickel diphosphate dihydrate Ni2(H2O)2[P2O7]

2020 ◽  
Vol 49 (47) ◽  
pp. 17368-17374
Author(s):  
Galina V. Kiriukhina ◽  
Olga V. Yakubovich ◽  
Larisa V. Shvanskaya ◽  
Yevgeniy A. Ovchenkov ◽  
Anatoly S. Volkov ◽  
...  
Keyword(s):  
Crystal Structure ◽  
Phase Transitions ◽  
Thermodynamic Properties ◽  
Ground States ◽  
Spin Flip

The Ni member of the Me2(H2O)2[P2O7]2 family demonstrates antiferromagnetic ground states and sequences of spin–flip and spin–flop phase transitions.

scholarly journals Ground states of groupoid C∗-algebras, phase transitions and arithmetic subalgebras for Hecke algebras

2019 ◽  
Vol 136 ◽  
pp. 268-283 ◽  
Author(s):  
Marcelo Laca ◽  
Nadia S. Larsen ◽  
Sergey Neshveyev
Keyword(s):  
Phase Transitions ◽  
Hecke Algebras ◽  
Ground States ◽  
C Algebras

scholarly journals Quantum fidelity for degenerate ground states in quantum phase transitions

2013 ◽  
Vol 88 (3) ◽  
Author(s):  
Yao Heng Su ◽  
Bing-Quan Hu ◽  
Sheng-Hao Li ◽  
Sam Young Cho
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Ground States ◽  
Quantum Phase ◽  
Quantum Fidelity

scholarly journals Phase Transitions in Systems with Finite Number of Atoms

2012 ◽  
Vol 472-475 ◽  
pp. 1827-1830 ◽  
Keyword(s):  
Phase Transitions ◽  
Finite Number

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