scholarly journals The exact ground state for a class of matrix Hamiltonian models: quantum phase transition and universality in the thermodynamic limit

2006 ◽  
Vol 2006 (11) ◽  
pp. P11012-P11012 ◽  
Author(s):  
Massimo Ostilli ◽  
Carlo Presilla
Keyword(s):  
Phase Transition ◽  
Thermodynamic Limit ◽  
Quantum Phase Transition ◽  
Ground State ◽  
Quantum Phase ◽  
Hamiltonian Models ◽  
Exact Ground State

QUANTUM PHASE TRANSITION AND ENTANGLEMENT IN THE TRANSVERSE-FIELD ISING MODEL

2006 ◽  
Vol 04 (04) ◽  
pp. 705-713 ◽  
Author(s):  
JUNPENG CAO ◽  
GANG XIONG ◽  
YUPENG WANG ◽  
X. R. WANG
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Quantum Phase Transition ◽  
Ground State ◽  
Transverse Field ◽  
Quantum Phase ◽  
Global Entanglement ◽  
Transverse Field Ising Model ◽  
Analytical Expressions ◽  
Number Of Particles

We present an exact calculation of the global entanglement for the ground state of the transverse-field Ising model. We obtain the analytical expressions for the correlation functions, concurrence and the global entanglement of the system for arbitrary number of particles in the ground state. We prove that the inflexion of the global entanglement exactly corresponds to the quantum phase transition point of the system.

scholarly journals Electrodynamics of Topologically Ordered Quantum Phases in Dirac Materials

Nanomaterials ◽  
2021 ◽  
Vol 11 (11) ◽  
pp. 2914
Author(s):  
Musa A. M. Hussien ◽  
Aniekan Magnus Ukpong
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Ground State ◽  
Density Functional ◽  
Quantum States ◽  
Quantum Phase ◽  
Graphene Monolayer ◽  
Theoretic Approach ◽  
Dirac Materials ◽  
Transition Points

First-principles calculations of the electronic ground state in tantalum arsenide are combined with tight-binding calculations of the field dependence of its transport model equivalent on the graphene monolayer to study the emergence of topologically ordered quantum states, and to obtain topological phase diagrams. Our calculations include the degrees of freedom for nuclear, electronic, and photonic interactions explicitly within the quasistatic approximation to the time-propagation-dependent density functional theory. This field-theoretic approach allows us to determine the non-linear response of the ground state density matrix to the applied electromagnetic field at distinct quantum phase transition points. Our results suggest the existence of a facile electronic switch between trivial and topologically ordered quantum states that may be realizable through the application of a perpendicular electric or magnetic field alongside a staggered-sublattice potential in the underlying lattice. Signatures of the near field electrodynamics in nanoclusters show the formation of a quantum fluid phase at the topological quantum phase transition points. The emergent carrier density wave transport phase is discussed to show that transmission through the collective excitation mode in multilayer heterostructures is a unique possibility in plasmonic, optoelectronic, and photonic applications when atomic clusters of Dirac materials are integrated within nanostructures, as patterned or continuous surfaces.

scholarly journals Pressure-induced Magnetic Quantum Phase Transition from Gapped Ground State in TlCuCl3

2004 ◽  
Vol 73 (12) ◽  
pp. 3254-3257 ◽  
Author(s):  
Kenji Goto ◽  
Masashi Fujisawa ◽  
Toshio Ono ◽  
Hidekazu Tanaka ◽  
Yoshiya Uwatoko
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Ground State ◽  
Quantum Phase
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